Jumps of energy near a homoclinic set of a slowly time dependent Hamiltonian system

DOI10.1134/S1560354719060078zbMath1435.37084WikidataQ126531150 ScholiaQ126531150MaRDI QIDQ2297607

Sergey V. Bolotin

Publication date: 20 February 2020

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

zbMATH Keywords

adiabatic invarianthomoclinic orbitHamiltonian systemaction functionalseparatrix mapPoincaré functionsymplectic relation

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Homoclinic and heteroclinic trajectories for nonlinear problems in mechanics (70K44) Systems with slow and fast motions for nonlinear problems in mechanics (70K70) Periodic, homoclinic and heteroclinic orbits of finite-dimensional Hamiltonian systems (37J46)

Related Items (3)

Separatrix maps in slow-fast Hamiltonian systems ⋮ Local adiabatic invariants near a homoclinic set of a slow-fast Hamiltonian system ⋮ Crossing of the critical energy level in Hamiltonian systems with slow dependence on time

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