APS » PROLA » Phys. Rev. Lett. » Volume 82 » Issue 17

Phys. Rev. Lett. 82, 3424 - 3427 (1999)

Reduced Tangent Dynamics and Lyapunov Spectrum for Hamiltonian Systems

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M. Hossein Partovi *
Department of Physics and Astronomy, California State University, Sacramento, California 95819-6041

Received 9 September 1998

A reduced formulation of tangent dynamics and the Lyapunov spectrum for a Hamiltonian system using its underlying symplectic symmetry is developed. It applies to a symplectic dynamical system of any dimension and leads to differential equations dealing directly with the characteristic exponents. These equations do not contain exponentially growing quantities nor require any orthonormality maintenance, and they are capable of dealing with degeneracies in the spectrum.


©1999 The American Physical Society

URL: http://link.aps.org/abstract/PRL/v82/p3424
DOI: 10.1103/PhysRevLett.82.3424
PACS: 05.45.Ac, 02.20.-a, 05.10.-a, 45.10.-b

* Electronic address: hpartovi@csus.edu

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