The four-element discrete nonlinear Schrodinger equation-non-integrability and Arnold diffusion

DOI10.1088/0305-4470/28/13/020zbMath0859.34068OpenAlexW1989408574MaRDI QIDQ4716588

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Publication date: 14 January 1997

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/28/13/020

zbMATH Keywords

chaotic dynamicsintegrabilityArnold diffusionsymmetry reductiondiscrete nonlinear Schrödinger equation with four elementsWiggins' generalized Melnikov method

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Complex behavior and chaotic systems of ordinary differential equations (34C28) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

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Mel'nikov analysis of phase space transport in a N-degree-of-freedom Hamiltonian system ⋮ Few-Lattice-Site Systems of Discrete Self-Trapping Equations

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