Reversible maps in two-degrees of freedom Hamiltonian systems

DOI10.1063/1.1499595zbMath1080.70519OpenAlexW2053454641WikidataQ73463386 ScholiaQ73463386MaRDI QIDQ5706321

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Publication date: 7 November 2005

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1499595

zbMATH Keywords

Poincaré mapBirkhoff reversing symmetry

Mathematics Subject Classification ID

Hamilton's equations (70H05) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Motion of a rigid body with a fixed point (70E17)

Cites Work

• Homoclinic bifurcations and the area-conserving Henon mapping
• Time-reversal symmetry in dynamical systems: a survey
• Universal behaviour in families of area-preserving maps
• Triple collisions in the one-dimensional three-body problem
• One-dimensional three-body problem via symbolic dynamics
• The effects of integrals on the totality of solutions of dynamical systems
• The Possible Motions of a Rigid Body With One Fixed Point
• Order and chaos in the planar isosceles three-body problem
• Dynamical Ordering of Non-Birkhoff Periodic Orbits in a Forced Pendulum
• Symmetries and bifurcations in the Sitnikov problem

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