Jumps of energy near a separatrix in slow-fast Hamiltonian systems

DOI10.1070/RM9834zbMath1480.37067WikidataQ129302289 ScholiaQ129302289MaRDI QIDQ5377091

Sergey V. Bolotin

Publication date: 23 May 2019

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

zbMATH Keywords

Hamiltonian systemseparatrixhamoclinic loop

Mathematics Subject Classification ID

Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25) Periodic, homoclinic and heteroclinic orbits of finite-dimensional Hamiltonian systems (37J46)

Related Items (2)

Local adiabatic invariants near a homoclinic set of a slow-fast Hamiltonian system ⋮ Jumps of energy near a homoclinic set of a slowly time dependent Hamiltonian system

Cites Work

• Unnamed Item
• Unbounded energy growth in Hamiltonian systems with a slowly varying parameter
• On the change in the adiabatic invariant on crossing a separatrix in systems with two degrees of freedom
• Shilnikov lemma for a nondegenerate critical manifold of a Hamiltonian system
• The anti-integrable limit
• Multibump orbits near the anti-integrable limit for Lagrangian systems

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