Liapunov exponents in high-dimensional symplectic dynamics

Year: 1987

Authors: Livi R., Politi A., Ruffo S., Vulpiani A.

Autors Affiliation: Dipartimento di Fisica dell’Universita’, 50125 Firenze, Italy; INFN Sezione di Firenze, Italy; Istituto Nazionale di Ottica, 50125 Firenze, Italy

Abstract: The existence of a thermodynamic limit of the distribution of Liapunov exponents is numerically verified in a large class of symplectic models, ranging from Hamiltonian flows to maps and products of random matrices. In the highly chaotic regime this distribution is approximately model-independent. Near an integrable limit only a few exponents give a relevant contribution to the Kolmogorov-Sinai entropy.

Journal/Review: JOURNAL OF STATISTICAL PHYSICS

Volume: 46 (1-2)      Pages from: 147  to: 160

KeyWords: Liapunov exponents; Kolmogorov entropy; symplectic transformations; random matrices; thermodynamic limit
DOI: 10.1007/BF01010337

Citations: 46
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