Jumps of adiabatic invariant at the separatrix of a degenerate saddle point

DOI10.1063/1.3657916zbMath1317.70017OpenAlexW1996675437WikidataQ51455724 ScholiaQ51455724MaRDI QIDQ5264596

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Publication date: 27 July 2015

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

Full work available at URL: https://doi.org/10.1063/1.3657916

Mathematics Subject Classification ID

Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Dynamical systems in classical and celestial mechanics (37N05) Systems with slow and fast motions for nonlinear problems in mechanics (70K70)

Related Items (1)

Jump of the adiabatic invariant at a separatrix crossing: degenerate cases

Cites Work

• Periodic orbits and stability islands in chaotic seas created by separatrix crossings in slow-fast systems
• On the change in the adiabatic invariant on crossing a separatrix in systems with two degrees of freedom
• Phase change between separatrix crossings
• Slow passage through a transcritical bifurcation for Hamiltonian systems and the change in action due to a nonhyperbolic homoclinic orbit
• Phase change between separatrix crossings in slow–fast Hamiltonian systems
• On the absence of stable periodic orbits in domains of separatrix crossings in nonsymmetric slow-fast Hamiltonian systems
• An asymptotic solution slowly crossing the separatrix near a saddle centre bifurcation point
• Stable periodic motions in the problem on passage through a separatrix
• Slow passage through homoclinic orbits for the unfolding of a saddle-center bifurcation and the change in the adiabatic invariant

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