Predictions of quasi-periodic and chaotic motions in nonlinear Hamiltonian systems

DOI10.1016/j.chaos.2005.08.012zbMath1121.37044OpenAlexW1988772164MaRDI QIDQ2497573

Albert C. J. Luo

Publication date: 4 August 2006

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2005.08.012

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Hamilton's equations (70H05) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Nearly integrable Hamiltonian systems, KAM theory (70H08)

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Cites Work

• Regular and chaotic dynamics.
• The resonance theory for stochastic layers in nonlinear dynamic systems.
• Resonant-separatrix webs in stochastic layers of the twin-well Duffing oscillator
• Chaotic orbits in a restricted three-body problem: numerical experiments and heuristics
• STOCHASTIC INSTABILITY OF NON-LINEAR OSCILLATIONS
• SMALL DENOMINATORS AND PROBLEMS OF STABILITY OF MOTION IN CLASSICAL AND CELESTIAL MECHANICS
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