Crossing of the critical energy level in Hamiltonian systems with slow dependence on time

DOI10.1134/S000143462111033XzbMath1487.37076OpenAlexW4200376957WikidataQ114075404 ScholiaQ114075404MaRDI QIDQ2063688

Sergey V. Bolotin

Publication date: 11 January 2022

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s000143462111033x

zbMATH Keywords

adiabatic invariantHamiltonian systemhomoclinic trajectory

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) Periodic, homoclinic and heteroclinic orbits of finite-dimensional Hamiltonian systems (37J46)

Cites Work

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• Introduction to the Perturbation Theory of Hamiltonian Systems
• Shadowing Homoclinic Chains to a Symplectic Critical Manifold
• Separatrix maps in Hamiltonian systems

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