Periodic orbits and stability islands in chaotic seas created by separatrix crossings in slow-fast systems

DOI10.3934/dcdsb.2008.10.621zbMath1149.37032OpenAlexW2034870336MaRDI QIDQ950607

Carles Simó, Aleksey A. Vasiliev, Dmitrij V. Treshev, Anatoly I. Neishtadt

Publication date: 30 October 2008

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2008.10.621

zbMATH Keywords

slow-fast systemsseparatrix crossingsstability islandschaotic seas

Mathematics Subject Classification ID

Motion of charged particles (78A35) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25) Stability problems for problems in Hamiltonian and Lagrangian mechanics (70H14) Systems with slow and fast motions for nonlinear problems in mechanics (70K70) Periodic and almost periodic solutions for problems in Hamiltonian and Lagrangian mechanics (70H12)

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