A mechanism for capture into resonance

DOI10.1016/0167-2789(93)90182-ZzbMath0791.58081OpenAlexW1997231073WikidataQ57927252 ScholiaQ57927252MaRDI QIDQ1325865

T. J. Burns, Christopher K. R. T. Jones

Publication date: 5 June 1994

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

Full work available at URL: https://doi.org/10.1016/0167-2789(93)90182-z

zbMATH Keywords

attractordomain of attractionresonanceaveraged system

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)

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Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Geometric singular perturbation theory for ordinary differential equations
• Lobe area in adiabatic Hamiltonian systems
• Multiphase averaging for classical systems. With applications to adiabatic theorems. Transl. from the French by H. S. Dumas
• Passage through a separatrix in a resonance problem with a slowly-varying parameter
• Tracking invariant manifolds with differential forms in singularly perturbed systems
• On the rotation of Mercury
• Probability phenomena due to separatrix crossing
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