Lyapunov exponents, path-integrals and forms
نویسندگان
چکیده
منابع مشابه
0 Ju n 20 03 LYAPUNOV EXPONENTS , PATH - INTEGRALS AND FORMS
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 Hamil-tonian, in the deterministic case, coincides with the Lie-derivative of the associated Hamil-tonian flow. The generalized Lyapunov e...
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We review known results and derive some new ones about the mean free path, Kolmogorov-Sinai entropy and Lyapunov exponents for billiard type dynamical systems. We focus on exact and asymptotic formulas for these quantities. The dynamical systems covered in the paper include periodic Lorentz gas, stadium and its modifications, and the gas of hard balls. Some open questions and numerical observat...
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ژورنال
عنوان ژورنال: Chaos, Solitons & Fractals
سال: 1994
ISSN: 0960-0779
DOI: 10.1016/0960-0779(94)90026-4