Lyaupunov Exponents, Path-Integrals and Forms

Details Lyaupunov Exponents, Path-Integrals and Forms Lyaupunov Exponents, Path-Integrals and Forms

2003-06-20

arxiv.org/abs/nlin/0306042v1

Chaos, Solitons and Fractals vol.4, no.7 (1994) 1117

Nonlinear Sciences

Chaotic Dynamics

TeX file with phyzzx macro, 37 pages, no figures

Scientific paper

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.

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