A small example of Arnold diffusion

DOI10.1007/BF01234564zbMath0664.70031OpenAlexW4252888536MaRDI QIDQ3815598

F. Rannou-Montigny, Christian Marchal

Publication date: 1988

Published in: Celestial Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01234564

zbMATH Keywords

Arnold diffusiontwo-dimensional manifoldsKolmogorov-Arnold-Moser theoremreverse methodArnold torinon-integrable autonomous Hamiltonian systemsnon-quasi-periodic solution

Mathematics Subject Classification ID

Phase plane analysis, limit cycles for nonlinear problems in mechanics (70K05) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Cites Work

• On the disappearance of isolating integrals in dynamical systems with more than two degrees of freedom
• Numerical study of quadratic area-preserving mappings

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