Probability phenomena due to separatrix crossing

DOI10.1063/1.165816zbMath0900.70221OpenAlexW1993011258WikidataQ73464076 ScholiaQ73464076MaRDI QIDQ4390257

Anatoly I. Neishtadt

Publication date: 24 September 1998

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.165816

Mathematics Subject Classification ID

Hamilton's equations (70H05) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)

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Cites Work

• Diffusion of particles in a slowly modulated wave
• Particle capture by a slowly varying periodic potential
• Passage through a separatrix in a resonance problem with a slowly-varying parameter
• Phase change between separatrix crossings
• Limit theorem for a dynamical system in the presence of resonances and homoclinic orbits
• Accuracy loss of action invariance in adiabatic change of a one-freedom Hamiltonian
• Capture into resonance: An extension of the use of adiabatic invariants
• Diagrammatic theory of transition of pendulum like systems