On the viability of local criteria for chaos

DOI10.1016/J.AOP.2004.08.008zbMath1290.70020arXivgr-qc/0407020OpenAlexW3098280016MaRDI QIDQ1765638

Alberto Saa

Publication date: 23 February 2005

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/0407020

zbMATH Keywords

chaosintegrability

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Stability problems for problems in Hamiltonian and Lagrangian mechanics (70H14)

Related Items (3)

Chaos in the Kepler Problem with Quadrupole Perturbations ⋮ Chaos indicator and integrability conditions from geometrodynamics ⋮ Is the Hamiltonian geometrical criterion for chaos always reliable?

Cites Work

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• On the numerical computation of Poincaré maps
• Geodesic deviation equation approach to chaos
• Sectional curvature in the dynamics of gravitational systems
• Chaos in static axisymmetric spacetimes: I. Vacuum case
• Geometry of spaces with the Jacobi metric
• Curvature and chaos in general relativity
• Nonintegrability and chaos in the anisotropic Manev problem

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