Melnikov’s method and Arnold diffusion for perturbations of integrable Hamiltonian systems

DOI10.1063/1.525415zbMath0497.70025OpenAlexW2020348013MaRDI QIDQ3962523

Jerrold E. Marsden, Philip J. Holmes

Publication date: 1982

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

Full work available at URL: https://resolver.caltech.edu/CaltechAUTHORS:HOLjmp82

zbMATH Keywords

multi-dimensional pendulum linearly coupled to two nonlinear oscillators

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Hamilton's equations (70H05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

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Cites Work