Existence of chaos in evolution equations

DOI10.1016/S0895-7177(02)00270-4zbMath1026.37056arXivmath/0302198MaRDI QIDQ1411001

Y. Charles Li

Publication date: 15 October 2003

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0302198

zbMATH Keywords

unstable modesSmale horseshoesSilnikov homoclinic orbit

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Abstract parabolic equations (35K90) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (2)

On existence of homoclinic orbits for some types of autonomous quadratic systems of differential equations ⋮ Homoclinic orbits for perturbed coupled nonlinear Schrödinger equations

Cites Work

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