Linear stability of natural symplectic maps.

DOI10.1016/S0375-9601(98)00507-6zbMath1044.37518WikidataQ127124991 ScholiaQ127124991MaRDI QIDQ1966787

Holger R. Dullin, James E. Howard

Publication date: 8 March 2000

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

Mathematics Subject Classification ID

Hamilton's equations (70H05) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25)

Related Items (6)

Correlation between the Hurst exponent and the maximal Lyapunov exponent: examining some low-dimensional conservative maps ⋮ Stability of minimal periodic orbits. ⋮ Twist singularities for symplectic maps ⋮ 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 ⋮ A SYMPLECTIC ALGORITHM FOR THE STABILITY ANALYSIS OF NONLINEAR PARAMETRIC EXCITED SYSTEMS

Cites Work

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• Periodic orbits for reversible, symplectic mappings
• Regular and chaotic dynamics.
• Optical Hamiltonians and symplectic twist maps
• An approximate renormalization for the break-up of invariant tori with three frequencies
• New aspects in the theory of stability of Hamiltonian systems
• Linear stability of symplectic maps
• Type of critical points of Hamiltonian functions and of fixed points of symplectic diffeomorphisms

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