Existence of chaos for nonlinear Schrödinger equation under singular perturbations

DOI10.4310/DPDE.2004.v1.n2.a4zbMath1153.35392OpenAlexW2326790271WikidataQ115205008 ScholiaQ115205008MaRDI QIDQ558453

Y. Charles Li

Publication date: 6 July 2005

Published in: Dynamics of Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/dpde.2004.v1.n2.a4

zbMATH Keywords

chaosnonlinear Schrödinger equationhomoclinic orbitsSmale horseshoesConley-Moser conditionsequivariant smooth linearization

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) NLS equations (nonlinear Schrödinger equations) (35Q55) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Inertial manifolds and other invariant attracting sets of infinite-dimensional dissipative dynamical systems (37L25)

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