Lyaupunov Exponents, Path-Integrals and Forms
Chaotic Dynamics
2007-05-23 v1
Abstract
In this paper we use a path-integral approach to represent the Lyapunov exponents of both deterministic and stochastic dynamical systems. In both cases the relevant correlation functions are obtained from a (one-dimensional) supersymmetric field theory whose Hamiltonian, in the deterministic case, coincides with the Lie-derivative of the associated Hamiltonian flow. The generalized Lyapunov exponents turn out to be related to the partition functions of the respective super-Hamiltonian restricted to the spaces of fixed form-degree.
Cite
@article{arxiv.nlin/0306042,
title = {Lyaupunov Exponents, Path-Integrals and Forms},
author = {E. Gozzi and M. Reuter},
journal= {arXiv preprint arXiv:nlin/0306042},
year = {2007}
}
Comments
TeX file with phyzzx macro, 37 pages, no figures