Symplectic Computation of Lyapunov Exponents
acc-phys
2008-02-03 v1 Accelerator Physics
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
Cite
@article{arxiv.acc-phys/9411001,
title = {Symplectic Computation of Lyapunov Exponents},
author = {Salman Habib and Robert D. Ryne},
journal= {arXiv preprint arXiv:acc-phys/9411001},
year = {2008}
}
Comments
12 pages, uuencoded PostScript (figures included)