On the absence of stable periodic orbits in domains of separatrix crossings in nonsymmetric slow-fast Hamiltonian systems

DOI10.1063/1.2790368zbMath1163.37355OpenAlexW2074046997WikidataQ51897535 ScholiaQ51897535MaRDI QIDQ3636663

Anatoly I. Neishtadt, Aleksey A. Vasiliev

Publication date: 1 July 2009

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

Full work available at URL: https://semanticscholar.org/paper/b7d4b7661cd424e6b6410f4a130bd4c1b526b76c

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (4)

Lyapunov vs. Geometrical stability analysis of the Kepler and the restricted three body problems ⋮ Some remarks on the abundance of stable periodic orbits inside homoclinic lobes ⋮ On the stability of Hamiltonian systems with weakly time dependent potentials ⋮ Jumps of adiabatic invariant at the separatrix of a degenerate saddle point

Cites Work

• Diffusion of particles in a slowly modulated wave
• Phase change between separatrix crossings
• Wisdom system: dynamics in the adiabatic approximation
• Phase change between separatrix crossings in slow–fast Hamiltonian systems
• Stable periodic motions in the problem on passage through a separatrix

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