Improbability of wandering orbits passing through a sequence of Poincaré surfaces of decreasing size

DOI10.1007/s00205-018-1309-2zbMath1459.37018arXiv1802.08566OpenAlexW3100067950MaRDI QIDQ1710986

Stefan Fleischer, Andreas Knauf

Publication date: 24 January 2019

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.08566

zbMATH Keywords

wandering setnon-compact phase spacesemi-orbitsvolume-preserving dynamical system

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Orbit growth in dynamical systems (37C35) Generic properties, structural stability of dynamical systems (37C20) Celestial mechanics (70F15) Dynamical systems in classical and celestial mechanics (37N05) General theory of finite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, invariants (37J06)

Related Items

Asymptotic density of collision orbits in the restricted circular planar 3 body problem, Asymptotic velocity for four celestial bodies, Exponential stability of fast driven systems, with an application to celestial mechanics, Improbability of collisions in \(n\)-body systems

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