Chaos in perturbed planar non-Hamiltonian integrable systems with slowly-varying angle parameters

DOI10.1023/A:1016378223861zbMath1014.70014OpenAlexW4240975798MaRDI QIDQ1596425

Li Qun Chen

Publication date: 24 July 2003

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1016378223861

zbMATH Keywords

chaosNoether symmetryform invarianceinfinitesimal transformationsgeneralized Melnikov functionconstrained Birkhoffian systemperturbed plane non-Hamiltonian integrable systemsslowly-varying angle parameterstransversely homoclinic intersection

Mathematics Subject Classification ID

Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Nonintegrable systems for problems in Hamiltonian and Lagrangian mechanics (70H07)

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