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Escapes and recurrence in a simple Hamiltonian system

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Publication:1769101
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DOI10.1023/B:CELE.0000016816.87061.11zbMath1131.70307OpenAlexW2066548026MaRDI QIDQ1769101

Xianqiang Yang

Publication date: 17 March 2005

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/b:cele.0000016816.87061.11


zbMATH Keywords

Hamiltonian dynamicsPoincaré recurrenceescapesasymptotic manifolds


Mathematics Subject Classification ID

Hamilton's equations (70H05) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Dynamical systems in classical and celestial mechanics (37N05)


Related Items (8)

ATTRACTORS IN CONSERVATIVE SYSTEMS ⋮ Escapes in Hamiltonian systems with multiple exit channels. II ⋮ Transient chaos in the Sitnikov problem ⋮ The chaotic set and the cross section for chaotic scattering in three degrees of freedom ⋮ Windows for escaping particles in quartic galactic potentials ⋮ Role of galactic bars in the formation of spiral arms: a study through orbital and escape dynamics. I. ⋮ Characteristic Times for the Fermi–Ulam Model ⋮ Escapes in Hamiltonian systems with multiple exit channels. I







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