Arnold and Arnold-like diffusion in many dimensions

DOI10.1016/0167-2789(94)90186-4zbMath0820.58044OpenAlexW1967511194MaRDI QIDQ1339244

M. A. Lieberman, B. P. Wood, Allan J. Lichtenberg

Publication date: 11 September 1995

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(94)90186-4

zbMATH Keywords

Arnold diffusionsurfacescoupled mapsKAM curves

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

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Cites Work

• Unnamed Item
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• Reversible systems
• Periodic orbits for reversible, symplectic mappings
• Theory of fast Arnold diffusion in many-frequency systems
• Regular and stochastic motion
• AN EXPONENTIAL ESTIMATE OF THE TIME OF STABILITY OF NEARLY-INTEGRABLE HAMILTONIAN SYSTEMS
• Diffusion in symplectic maps