Symplectic Computation of Lyapunov Exponents

Preprint

1 November 1994

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.acc-phys/9411001

Abstract

A recently developed method for the calculation of Lyapunov exponents of dynamical systems is described. The method is applicable whenever the linearized dynamics is Hamiltonian. By utilizing the exponential representation of symplectic matrices, this approach avoids the renormalization and reorthogonalization procedures necessary in usual techniques. It is also easily extendible to damped systems. The method is illustrated by considering two examples of physical interest: a model system that describes the beam halo in charged particle beams and the driven van der Pol oscillator.

Keywords

EXPONENTIAL REPRESENTATION
SYMPLECTIC COMPUTATION
REORTHOGONALIZATION
LYAPUNOV EXPONENTS
DYNAMICAL SYSTEMS
CHARGED PARTICLE
PARTICLE BEAMS

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Version 1, 1994-11-01, ArXiv

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