| Preface |
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| A. Dynamical Systems |
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Melnikov techniques in the Sitnikov problem |
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3 | (6) |
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2nπ-periodic solutions of the Sitnikov problem |
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9 | (3) |
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Regularizable and non-regularizable collisions in N-body problems |
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12 | (8) |
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On the homology of the integral manifolds in celestial mechanics |
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20 | (6) |
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Horseshoes and the problem of the gaps |
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26 | (4) |
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Existence and stability of relative equilibria in n-body problem |
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30 | (9) |
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Lorenz attractors with arbitrary expanding dimension |
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39 | (6) |
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Homoclinic tangencies and Ω-moduli |
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45 | (3) |
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Infenite modal maps and homoclinic bifurcations |
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48 | (7) |
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Resonant homoclinic flip bifurcations: a numerical investigation |
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55 | (3) |
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Bifurcations in three-dimensional systems: Asymptotic treatment |
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58 | (3) |
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On the structure and bifurcations in a one-parameter unfolding of a 2 d.o.f. Hamiltonian system with a contour with two saddle-foci |
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61 | (3) |
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Attractors and singularities robustly accumulated by periodic orbits |
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64 | (4) |
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Impossibility of complete bifurcation description for some classes of systems with simple dynamics |
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68 | (3) |
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Computational algorithms for ordinary differential equations |
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71 | (8) |
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Bifurcations, scaling laws and hysteresis in singularly perturbed systems |
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79 | (3) |
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Exponential sensitivity in some singularly perturbed boundary value problems |
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82 | (3) |
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The period function of non homogeneous differential equations |
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85 | (3) |
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Geometric singular perturbation theory: centre manifolds and blow up |
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88 | (6) |
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Invariant manifolds approach to optimal control of nonlinear singularly perturbed systems |
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94 | (3) |
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Multiplicative solution asymptotics for singularly perturbed parabolic boundary value problems |
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97 | (3) |
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100 | (3) |
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On WKB asymptotic expansions of high frequency vibrations in stiff problems |
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103 | (3) |
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A perturbation method based on integrating vectors |
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106 | (3) |
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Effective dynamics for the Maxwell-Lorentz system |
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109 | (3) |
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Asymptotic method of differential inequalities |
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112 | (6) |
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Geverey asymptotics in singular perturbations of ODE |
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118 | (9) |
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Random homoclinic dynamics |
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127 | (6) |
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Lyapunov exponents of linear stochastic jump diffusions |
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133 | (3) |
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Lyapunov's second method for stochastic differential equations |
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136 | (9) |
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Drift for Euclidean extensions of dynamical systems |
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145 | (6) |
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Smooth normalization of reversible vector fields |
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151 | (3) |
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Hopf bifurcations on the FCC lattice |
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154 | (3) |
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Pattern formation in weakly anisotropic systems |
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157 | (6) |
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Generic bifurcation from a 2-manifold |
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163 | (3) |
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On the stability of bifurcating periodic orbits in reversible and symplectic mappings |
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166 | (3) |
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Ergodicity and robustness of symmetric attractors |
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169 | (6) |
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Bifurcation from periodic and relative periodic solutions in equivariant dynamical systems |
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175 | (11) |
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Validity, universality and structure of the Ginzburg-Landau equation |
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186 | (15) |
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Calculation of solution of Boussinesq problem using Lie symmetries |
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201 | (3) |
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Applications of a new G-invariant implicit function theorem |
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204 | (3) |
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The relations between Painleve property and Lie symmetries of second order ordinary differential equations |
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207 | (3) |
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An example of symmetry reduction in Hamiltonian systems |
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210 | (3) |
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Symmetries and mode interactions in the optimisation of hydrophone placement in acoustic arrays |
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213 | (6) |
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Topological Methods and Conley Index |
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219 | (6) |
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The implementation of the Allili-Kaczynski algorith for the construction of a chain homomorphism induced by multivalued map |
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225 | (3) |
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Computer assisted proof of the existence of a periodic orbit in the Rossler equations |
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228 | (3) |
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On the structure of the Conley index |
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231 | (10) |
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Periodic orbits for fourth order conservative systems and morse type theory |
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241 | (5) |
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How to show the existence of homoclinic trajectories using topological tools? |
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246 | (5) |
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| B. Infinite Dimensions |
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Asymptotic properties of second order functional differential equations |
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251 | (3) |
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On equations with state-depending time lags |
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254 | (3) |
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Effects of time delays on the dynamics of feedback systems |
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257 | (10) |
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Synchronization and phase-locked oscillation their connecting orbits and domains of attraction in a neural network with delay |
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267 | (6) |
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Some collocation results on computing periodic solutions of delay differntial equations |
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273 | (6) |
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Hamiltonian reduction of Einstein's equations and the geometrization of three-manifolds |
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279 | (4) |
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Evolution of plane curves driven by a nonlinear function of curvature and anisotropy |
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283 | (6) |
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Hyperbolic Conservation Laws |
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BV stability via generalized characteristics for nonclassical solutions of conservation laws |
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289 | (6) |
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Admissibility of traveling waves for scalar balance laws |
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295 | (3) |
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Shocks with oscillatory tails in systems of viscous hyperbolic balance laws |
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298 | (3) |
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Initial layer effects and convergence rates for relaxation methods |
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301 | (7) |
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On recent progress in shoke wave theory |
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308 | (7) |
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Cauchy problem for compressible Euler equations with damping |
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315 | (6) |
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Hyperbolic Wave Equations |
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Quasilinear wave equations and dispersive effect |
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321 | (6) |
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The notion of hyperbolicity for systems of Euler-Lagrange equations |
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327 | (12) |
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Bounded solutions and blow-up in nonlinear wave equations |
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339 | (3) |
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Asymptotic behaviour of solutions to Maxwell's equations in arbitrary domains |
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342 | (3) |
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Strichartz inequalities for the wave equations with a magnetic potential |
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345 | (6) |
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Semilinear wave equations on pseudo-Riemannian manifolds: stability and motion of non-topological solitons |
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351 | (3) |
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On discrete models of the wave equation |
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354 | (3) |
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Global dynamics of nonlinear hyperbolic equations with non-monotone damping |
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357 | (6) |
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Homogenization of scalar wave equation with hysteresis operator |
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363 | (6) |
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P.D.E.s with hysteresis operators |
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369 | (16) |
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Stability of the magnetic Benard problem |
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385 | (5) |
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Counter-propagating waves on fluid surfaces and the continuum limit of the Fermi-Pasta-Ulam model |
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390 | (15) |
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Extended gradient systems: the energy flow inequalities |
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405 | (3) |
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Rolls and modulated multi-pulse solutions in the Swift-Hohenberg type of equations |
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408 | (9) |
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Lattice Dynamical Systems |
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Dimer automata and edge processes |
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417 | (6) |
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Lattice dynamical system: patterns and waves |
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423 | (8) |
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Differential equations describing the evolution of particle densities for interacting particle systems |
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431 | (3) |
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Periodic motions of non-autonomous toda lattices |
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434 | (5) |
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Numerical approach to the inverse homogenization problem |
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439 | (3) |
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Asymtotic self similarity in a model of branching in microstructured materials |
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442 | (6) |
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Continuum limits of step flow models |
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448 | (6) |
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Spectral problems in a periodic thick multi-structure with concentrated masses |
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454 | (3) |
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Time dependent Young measure solutions for an elasticity equation with diffusion |
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457 | (3) |
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Existence and relaxation results in the class of anti-plane shear deformations |
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460 | (3) |
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Constrained Young measures |
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463 | (6) |
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Nonlinear Functional analysis |
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Applications of critical point theory to variational problems on Rn |
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469 | (16) |
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Multipoint boundary value problems |
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485 | (3) |
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Theoretical and numerical study of multi-phase flows through order parameter fourmulation |
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488 | (3) |
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Lower and upper solutions for the periodic problem associated with a ∅-Laplacian equation |
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491 | (3) |
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The sweeping processes without convexity |
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494 | (3) |
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On the number of solutions of a quasilinear elliptic boundary value problems |
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497 | (3) |
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Remarks on a periodic boundary value problem for second order impulsive integro-differential equations |
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500 | (3) |
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Polynomial solutions of matrix differential equation of Riccati type |
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503 | (3) |
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Pattern formation for minimizing sequences of the stationary Cahn-Hilliard model |
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506 | (6) |
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Multiple nontrivial solutions for a floating beam equation via critical point theory |
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512 | (5) |
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Quasilinear elliptic problems in RN |
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Upper and lower solutions for first order discontinuous BVPs |
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517 | (3) |
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Geometrical properties of the Fucik spectrum of general Sturm-Liouville problems |
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520 | (3) |
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Degree theory for densely defined operators and applications |
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523 | (3) |
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The existence of radial, positive solutions for nonlinear elliptic equations in unbounded domains |
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526 | (5) |
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On certain quasilinear elliptic equations with indefinite terms |
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531 | (3) |
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Shortest paths on groups of volume-preserving maps and the hydrostatic limit of the Euler equations |
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534 | (8) |
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Periodic solutions and rigid rotations of the gauged Ginzburg-Landau vortices |
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542 | (3) |
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On the heat equation with integral mean-values |
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545 | (3) |
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The loaded differential equations and their applications |
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548 | (3) |
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Existence of equivariant harmonic maps |
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551 | (5) |
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Integral inequalities associated with inequalities of Opial type |
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556 | (2) |
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The shape of functions yielding best constants in Sobolev-type inequalities |
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558 | (3) |
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Closed surfaces minimizing the bending energy under prescribed area and volume |
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561 | (3) |
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Critical points of the area functional by gluing technics |
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564 | (5) |
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Multiple solutions for an elliptic equation with non-homogeneous boundary conditions |
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569 | (3) |
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Convexity estimates for mean curvature flow of mean convex surfaces |
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572 | (3) |
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Bifurcation results for quasilinear elliptic systems on RN |
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575 | (3) |
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Some general quadratic integral inequalities of the second order |
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578 | (5) |
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Propagation of singularities for concave solutions of Hamilton-Jacobi equations |
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583 | (6) |
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Propagation of maxima and strong maximum principle for viscosity solutions of degenerate elliptic equations |
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589 | (3) |
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On the Liouville property for nonlinear elliptic problems |
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592 | (3) |
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On the rate of convergence in homogenization of Hamilton-Jacobi equations |
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595 | (5) |
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Almost periodic homogenization of Hamilton-Jacobi equations |
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600 | (6) |
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Gradient estimates, interior gradient blow ups and comparrison principle of nonlinear PDEs |
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606 | (3) |
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Solvability of the Dirichet problem in H01,p,λ (Ω) for a class of linear second order elliptic partial differential equations |
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609 | (6) |
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| C. Global Attractors and Stability |
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Global Attractors and Limits |
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Spectral behavior and upper semicontinuty of attractors |
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615 | (7) |
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Dissipatio and attractors |
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622 | (16) |
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Asymptotic behavior of some nonlinear dissipative hyperbolic equation on RN |
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638 | (3) |
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Exponentially weighted L∞-estimates and attractors for parabolic systems on unbounded domains |
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641 | (6) |
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Singularly perturbed hyperbolic equations revisited |
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647 | (6) |
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Global attractors of reaction-diffusion equations without uniqueness |
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653 | (6) |
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Kolmogorov ϵ-entropy of attractors of non-autonomous evolution equations |
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659 | (6) |
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Hausdorff dimension estimates by use of adapted Caratheodory outer measures and application to invariant sets with an equivariant tangent bundle splitting |
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665 | (3) |
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Long time behavior in phase-field models with memory |
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668 | (6) |
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Long time behavior of models of Cahn-Hilliard equations in deformable continua |
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674 | (6) |
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Existence, uniqueness and asymptotic behaviour of the solutions of nonlinear hyperbolic equations |
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680 | (4) |
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Attractors for the non-autonomous dynamical systems |
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684 | (6) |
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Non-autonomous evolution equations and their attractors |
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690 | (14) |
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The attractor for a nonlinear reaction-diffusion system in an unbounded domain and Kolmogorov's ϵ-entropy |
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704 | (7) |
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Order Preserving Dynamical Systems |
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Order-preserving random dynamical systems generated by a class of coupled strochastic semilinear parabolic equations |
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711 | (6) |
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The principal spectrum for linear nonautonomous parabolic PDEs of second order |
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717 | (5) |
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Stable subharmonic solutions of reaction-diffusion equations |
|
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722 | (7) |
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Qualitative Theory of Parabolic Equations |
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On the Dirichlet problem for the nonlinear parabolic equations in non-smooth domains |
|
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729 | (3) |
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A generalized Bakry-Emery condition for non-symmetric diffusion |
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732 | (3) |
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Periodic orbits and attractors for autonomous reaction-diffusion systems |
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735 | (3) |
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Recent results in micromagnetism |
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738 | (3) |
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Connecting equilibria by blow-up solutions |
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741 | (3) |
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Unfocused blow up in semilinear parabolic equations |
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744 | (3) |
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Collision of layers in a scalar reaction-diffusion equation of 1-space dimension |
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747 | (3) |
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Formation of stable inner layers in diffusion equations: necessary and sufficient conditions |
|
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750 | (3) |
|
Arnaldo Simal do Nascimento |
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753 | (7) |
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Reaction-diffusion systems with skew-gradient structure |
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760 | (9) |
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Stability of Fronts and Pulses |
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Multi-pulse solutions in problems with reflection symmetry in cylindrical domains |
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769 | (3) |
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On the mathematical foundation of the nonstandard finite difference method |
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772 | (3) |
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A note on two pulse solutions in the 1-D Gray-Scott model |
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775 | (6) |
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The stability of large pulse solutions in the generalized Gierer-Meinhardt equation |
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781 | (6) |
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Convergence to travelling waves in damped hyperbolic equations |
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787 | (7) |
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Global structure of travelling waves for 3 competing species model with diffusion |
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794 | (3) |
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Absolute and convective stability in large domains |
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797 | (4) |
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Weak hyperbolicity and traveling waves |
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801 | (8) |
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| D. Computational Aspects |
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Computer algebra tool for the solution of the boundary-value problems |
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809 | (3) |
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Multilinear Hirota operators, modular forms and the Heisenberg algebra |
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812 | (12) |
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The symbolic method and cosymmetry integrability of evolution equations |
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824 | (8) |
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A method for computing center manifold and normal forms |
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832 | (9) |
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Controllability of generic control systems at a k-type singular point |
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841 | (3) |
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A maximum time approach to the computation of robust domains of attraction |
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844 | (6) |
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On equivalence of expontial and asymptotic stability under changes of variables |
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850 | (3) |
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Bifurcation of control sets at singular points |
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853 | (3) |
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Generalized solutions for singular linear-quadratic optimal control problems |
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856 | (3) |
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Controllability of the shifted inverse power iteraction: The case of real shifts |
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859 | (6) |
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Domain variation for optimization of convex functional |
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865 | (3) |
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Stabilization of overhead traveling cranes by nonlinear feedback |
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868 | (3) |
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Local theory for differential equations of Caratheodory type |
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871 | (6) |
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On numerical bifurcation studies for general operator equations |
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877 | (7) |
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A numerical method for computing unstable quasi-periodic solutions for the 2-D Poiseuille flow |
|
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884 | (3) |
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On numerical methods for bifurcation analysis of delay differential equations |
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887 | (6) |
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Numerical investigation of periodic solutions of multibody systems |
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893 | (6) |
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Periodic orbits of vector fields: computational challenges |
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899 | (17) |
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Rigorous discretization of subdivision techniques |
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916 | (3) |
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Numerical continuation of periodic orbits in symmetric Hamiltonian systems |
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919 | (3) |
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Non-orientable manifolds of periodic orbits |
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922 | (3) |
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Strong singularities and the continuous Newton method |
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925 | (3) |
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Ordinary differential equations, differential algebraic equations and their use in optimization |
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928 | (6) |
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934 | (7) |
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Exponentially Small Phenomena |
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Singular separatix splitting and the Poincare-Melnikov method for area preserving maps |
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941 | (6) |
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Exponentially small splitting of separatrices near bifurcations in area-preserving maps |
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947 | (5) |
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Time-averaging of parabolic partial differential equations: exponential estimates |
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|
952 | (3) |
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Averaging in multi-frequency slow-fast systems |
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955 | (6) |
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A new method for measuring the splitting of invariant manifolds |
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961 | (6) |
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Analytical and numerical detection of exponentially small phenomena |
|
|
967 | (12) |
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Frictional collisions off sharp objects |
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979 | (6) |
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A finite-difference approximation for cosymetry preservation in filtration conventionm problem |
|
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985 | (3) |
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Adaptive geometric integrators based on splitting, scaling, and switching |
|
|
988 | (6) |
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|
Antisymmetry, pseudospectral methods, and conservative PDEs |
|
|
994 | (6) |
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|
Reduction of the planar 4-vortex system at zero momentum |
|
|
1000 | (9) |
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|
variational integrators, the Newmark scheme, and dissipative systems |
|
|
1009 | (6) |
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The computation of Lyapunov exponents via spatial integration using vector norms |
|
|
1015 | (6) |
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|
Introduction to the numerical analysis of stochastic delay differential equations |
|
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1021 | (3) |
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Pullback attractors under discretization |
|
|
1024 | (6) |
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|
A conjecture on the existence of isolated eigenvalues of the Perron-Frobenius operator |
|
|
1030 | (3) |
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Markov modelling for random dynamical systems |
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|
1033 | (6) |
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Young measures and invariance |
|
|
1039 | (3) |
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Attractors, chain transitive sets and invariant measures |
|
|
1042 | (6) |
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Computation of Morse spectrum of dynamical system |
|
|
1048 | (5) |
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|
The computation of an unstable invariant set inside a cylinder containing a knotted flow |
|
|
1053 | (7) |
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Complex dynamics and multistable systems |
|
|
1060 | (6) |
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|
|
Riddling in dynamical systems |
|
|
1066 | (15) |
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|
Dimension and stability of sets embedded in normally hyperbolic invariant manifolds |
|
|
1081 | (6) |
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|
|
| E. Applications |
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|
|
Kinetic scheme reduction in first order differential equation models |
|
|
1087 | (3) |
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Continuation of waves in reaction-diffusion-convection systems via heteroclinic and homoclinic orbits |
|
|
1090 | (5) |
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|
|
Chemotaxis, Cross-Diffusion, and Blow-Up |
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|
|
Numerical blow-up time convergence for discretizations of reaction-diffusion equations |
|
|
1095 | (3) |
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|
On a reaction-diffusion system modelling chemotaxis |
|
|
1098 | (6) |
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|
|
Some blowup results for the Keller-Segel model |
|
|
1104 | (3) |
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|
|
Systems of reaction diffusion equations modelling angiogenesis and chemotaxis |
|
|
1107 | (8) |
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|
|
Behavior of solutions to system related to chemotaxis |
|
|
1115 | (8) |
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|
|
Two-dimensional modelling of pollutant transport in a shallow basin |
|
|
1123 | (3) |
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On the non-isothermal formation of polymeric fibers |
|
|
1126 | (3) |
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|
An efficient reduced SQP strategy for large-scale dynamic process optimization |
|
|
1129 | (6) |
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|
|
Extrapolability of structured hybride models: a key to optimization of complex processes |
|
|
1135 | (20) |
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Kinetic energy and Laypunov stability of equilibria of natural Lagrangian systems |
|
|
1155 | (3) |
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|
On relative equilibria of a cross-shaped satellite with movable mass points |
|
|
1158 | (3) |
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|
|
Quasi-periodic motions of the perturbed Euler top |
|
|
1161 | (6) |
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|
|
Dynamical systems, the three-body problem and space mission design |
|
|
1167 | (15) |
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|
The Hamiltonian structure of the dynamics of ideal liquid bridges |
|
|
1182 | (10) |
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|
Poisson structure and invariant manifolds on Lie groups |
|
|
1192 | (6) |
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|
The Euler equations on thin domains |
|
|
1198 | (9) |
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|
Models in Biology, Medicine, and Physiology |
|
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|
|
Bifurcation of ``traveling wave'' solutions in population models with taxis |
|
|
1207 | (3) |
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|
|
Stability analysis of a peak solution to an orientational aggregation model |
|
|
1210 | (7) |
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|
|
Dynamics of non-uniform population |
|
|
1217 | (3) |
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|
|
A comparison-type approach for travelling fronts |
|
|
1220 | (6) |
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|
Model reduction by extended quasi-steady-state assumption |
|
|
1226 | (3) |
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|
|
Abundance of chaos in one-dimensional population dynamics |
|
|
1229 | (6) |
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|
Molecular propagation through crossings and avoided crossings of electron energy levels |
|
|
1235 | (6) |
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|
|
Adiabatic evolution through infinitely many eigenvalue crossings |
|
|
1241 | (6) |
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|
On conformational dynamics induced by Langevin processes |
|
|
1247 | (18) |
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|
Spinodal decomposition for the stochastic Cahn-Hilliard equation |
|
|
1265 | (3) |
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Phase-front solutions and instabilities in forced oscillations |
|
|
1268 | (7) |
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|
Lagrangian chaos and the dynamo effect in magnetohydrodynamics |
|
|
1275 | (3) |
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|
Asymptotic profiles of nonlinear diffusion problems |
|
|
1278 | (3) |
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|
|
Convective Cahn-Hilliard models for kinetically controlled crystal growth |
|
|
1281 | (3) |
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|
Dynamics of swimming bacteria at low and high volume fractions |
|
|
1284 | (4) |
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|
|
Spinodal decomposition: a survey of recent results |
|
|
1288 | (12) |
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|
Asymptotics, existence and stability of solutions with internal layers of fast and slow elliptic systems |
|
|
1300 | (3) |
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|
|
Complex pulse dynamics in nonlinear dissipative systems |
|
|
1303 | (2) |
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|
Co-dimension 2 phenomena in pattern formation |
|
|
1305 | (3) |
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|
Patterns in an electrically driven conducting fluid layer |
|
|
1308 | (3) |
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|
Stabilizing unstable periodic orbits in reaction-diffusion systems by global time-delayed feedback control |
|
|
1311 | (6) |
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|
Moment equations for carrier transport in semiconductors |
|
|
1317 | (5) |
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|
The small Debye length limit in thedrift-diffusion model for semiconductors |
|
|
1322 | (3) |
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|
|
Rigorous derivation of a hierarchy of macroscopic models for semiconductors and plasmas |
|
|
1325 | (3) |
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|
|
About some mathematical questions concerning the embedding of Schrodinger-Poisson systems into the drift-diffusion model of semiconductor devices |
|
|
1328 | (6) |
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|
Simulation of current filamentation in an extended drift-diffusion model |
|
|
1334 | (5) |
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|
Multiplicity of algebraically decaying solitary waves |
|
|
1339 | (6) |
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|
Phenomena beyond all orders and bifurcations of reversible homoclinic connections near higher resonances |
|
|
1345 | (15) |
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|
|
A note on exact estimates for the amplitude of oscillations of generalized solitary waves |
|
|
1360 | (9) |
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|
|
Unsteady Hydrodynamic Waves |
|
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|
|
Boundary integral methods for three-dimensional water waves |
|
|
1369 | (10) |
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|
A Nash-Moser theorem for standing water waves |
|
|
1379 | (6) |
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|
Justification of quasistationary approximation in the problem of evolution of an isolated liquid mass |
|
|
1385 | (8) |
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|
|
| F. Further Topics |
|
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|
|
Nonlinear retarded functional differential equations of arbitrary (fractional) orders |
|
|
1393 | (3) |
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|
Special symmetric slowly oscillating periodic solution of a state dependent delay differential equation |
|
|
1396 | (5) |
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|
On the mathematical foundation of the nonstandard finite difference method |
|
|
1401 | (3) |
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|
|
Optimal derivative of a nonlinear ordinary differential equation |
|
|
1404 | (3) |
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|
|
Event recognition using a binary discriminant tree |
|
|
1407 | (3) |
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|
|
On the investigation of parametrised boundary value problems |
|
|
1410 | (5) |
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|
|
Ordinary Differential Equations |
|
|
|
Uniformly isochronous quintic planar vector fields |
|
|
1415 | (3) |
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|
Investigation of resonances using higher order normal forms |
|
|
1418 | (3) |
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|
Polynomial infinitesimal generators of Lie's symmetries for polynomial planar vector fields |
|
|
1421 | (3) |
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Some criteria on the uniqueness of limit cycles in planar polynomial vector fields |
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1424 | (3) |
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On stability and bifurcations in nonlinear systems of differential equations |
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1427 | (3) |
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On the Dainelli-Suslov problem |
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1430 | (3) |
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Decoupling of impulsive differential equations |
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1433 | (3) |
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1436 | (4) |
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Nonlinear differential systems with prescribed limit sets |
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1440 | (3) |
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Monotonicity and boundedness of the atomic radius in the Thomas-Fermi theory |
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1443 | (6) |
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Partial Differential Equations |
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On differential operators of Mizohata type |
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1449 | (3) |
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Applications of linear elliptic regularity to nonlinear problems |
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1452 | (3) |
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On the integrability of the Pfaffian equation concerning the octahedral web formed by four pencils of spheres |
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1455 | (6) |
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Chaotic eigenfunctions, maximum norms and random superpositions of plane waves |
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1461 | (3) |
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Singularly perturbed system of differential equations in case of unstable spectrum and non diagonalizable degenerate operator |
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1464 | (3) |
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Topology of bifurcations on symmetric integrable Hamiltonian systems on S3 |
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1467 | (3) |
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Heteroclinic behavior in rotating Rayleigh-Benard convection |
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1470 | (3) |
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Star product for bimodal maps |
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1473 | (3) |
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Some properties of solutions of nonlinear difference equations |
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1476 | (3) |
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Parameter estimation and model selection in ODE: the lipid metabolism |
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1479 | (3) |
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Oscillatory solutions of iterative functional equations |
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1482 | (3) |
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Oscillation of linear differential equations caused by delay arguments |
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1485 | |
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Other versions by this Author
