Mel'nikov analysis of phase space transport in a N-degree-of-freedom Hamiltonian system

DOI10.1016/S0362-546X(97)00210-1zbMath0895.34040OpenAlexW2036386982MaRDI QIDQ4377201

Vassilios M. Rothos, Tassos C. Bountis

Publication date: 8 September 1998

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(97)00210-1

zbMATH Keywords

nonlinear Schrödinger equationhomoclinicMelnikov

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (3)

Dissipative soliton dynamics of the Landau-Lifshitz-Gilbert equation ⋮ Continuous families of solitary waves in non-symmetric complex potentials: a Melnikov theory approach ⋮ The dynamics of coupled perturbed discretized NLS equations

Cites Work

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• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Global bifurcations and chaos. Analytical methods
• Normally hyperbolic invariant manifolds in dynamical systems
• Transport in two-dimensional maps
• The Existence of Homoclinic Orbits and the Method of Melnikov for Systems in $R^n$
• Melnikov’s method and Arnold diffusion for perturbations of integrable Hamiltonian systems
• The discrete self-trapping equation and the Painleve property
• The four-element discrete nonlinear Schrodinger equation-non-integrability and Arnold diffusion

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