Stability of homoclinic orbits and diffusion in phase space.

DOI10.1016/S0375-9601(97)00230-2zbMath1052.37504OpenAlexW2114874291WikidataQ121450418 ScholiaQ121450418MaRDI QIDQ1968304

Yanyan Li

Publication date: 7 March 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0375-9601(97)00230-2

Mathematics Subject Classification ID

Hamilton's equations (70H05) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (5)

Equatorial dynamics of charged particles in planetary magnetospheres ⋮ Conservative dynamics: unstable sets for saddle-center loops. ⋮ Detecting stable-unstable nonlinear invariant manifold and homoclinic orbits in mechanical systems ⋮ Soliton parameters and chaotic sets ⋮ Homoclinic bifurcations in reversible Hamiltonian systems

Cites Work

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• Transversality of the invariant manifolds associated to the Lyapunov family of periodic orbits near \(L_ 2\) in the restricted three-body problem
• Cascades of homoclinic orbits to, and chaos near, a Hamiltonian saddle- center
• Dynamical systems I. Ordinary differential equations and smooth dynamical systems. Transl. from the Russian
• Nonintegrability of some Hamiltonian systems, scattering and analytic continuation
• On the ultimate behavior of orbits with respect to an unstable critical point. I: Oscillating, asymptotic, and capture orbits
• Non-existence of invariant circles
• Symplectic maps, variational principles, and transport
• FAMILIES OF TRANSVERSE POINCARÉ HOMOCLINIC ORBITS IN 2N-DIMENSIONAL HAMILTONIAN SYSTEMS CLOSE TO THE SYSTEM WITH A LOOP TO A SADDLE-CENTER
• CHAOTIC OSCILLATIONS OF A BUCKLED BEAM

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