Mel'nikov analysis of a symmetry-breaking perturbation of the NLS equation

DOI10.1016/S0378-4754(00)00286-XzbMath0978.35062OpenAlexW2002724806MaRDI QIDQ5937529

Annalisa M. Calini, Constance M. Schober

Publication date: 4 February 2002

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0378-4754(00)00286-x

zbMATH Keywords

chaotic dynamicsMel'nikov analysisNLS equationnoneven initial conditionssymmetry-breaking perturbation

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems (37K55)

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Cites Work

• Chaotic and homoclinic behavior for numerical discretizations of the nonlinear Schrödinger equation
• Morse and Melnikov functions for NLS PDE's
• Homoclinic orbits and chaos in discretized perturbed NLS systems. I: Homoclinic orbits
• Multi-pulse jumping orbits and homoclinic trees in a modal truncation of the damped-forced nonlinear Schrödinger equation
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