Geometric shadowing in slow–fast Hamiltonian systems

DOI10.1088/0951-7715/23/5/008zbMath1207.37015arXiv0905.3087OpenAlexW3102688284MaRDI QIDQ3565015

Emiliano De Simone, N. Brännström, Vassili Gelfreich

Publication date: 27 May 2010

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0905.3087

zbMATH Keywords

strange attractorschaotic dynamicssymbolic dynamicsslow-fast systemshyperbolic orbits and setsdynamical systems of geometric origin and hyperbolicity

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Dynamical systems with hyperbolic orbits and sets (37D05) Symbolic dynamics (37B10) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Stability problems for problems in Hamiltonian and Lagrangian mechanics (70H14)

Related Items (3)

Separatrix maps in slow-fast Hamiltonian systems ⋮ Local adiabatic invariants near a homoclinic set of a slow-fast Hamiltonian system ⋮ Perturbations of geodesic flows by recurrent dynamics

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