Stability of minimal periodic orbits.

DOI10.1016/S0375-9601(98)00599-4zbMath1044.37512WikidataQ126377555 ScholiaQ126377555MaRDI QIDQ1966808

Holger R. Dullin, James D. Meiss

Publication date: 8 March 2000

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

Mathematics Subject Classification ID

Hamilton's equations (70H05) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Dynamical aspects of twist maps (37E40)

Related Items (4)

A chaotic lattice field theory in one dimension* ⋮ Hill’s formula for $g$-periodic trajectories of Lagrangian systems ⋮ PROBING THE LOCAL DYNAMICS OF PERIODIC ORBITS BY THE GENERALIZED ALIGNMENT INDEX (GALI) METHOD ⋮ On the stability of periodic orbits of high dimensional autonomous Hamiltonian systems

Cites Work

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• Periodic orbits for reversible, symplectic mappings
• Application of Newton's method to Lagrangian mappings
• Singularity theory and equivariant symplectic maps
• Linear stability of natural symplectic maps.
• Converse KAM theory for symplectic twist maps
• Symplectic maps, variational principles, and transport
• Monotone twist mappings and the calculus of variations
• Type of critical points of Hamiltonian functions and of fixed points of symplectic diffeomorphisms
• On the type of certain periodic orbits minimizing the Lagrangian action

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