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 limitDOI: 10.1007/BF01010337Citations: 46data from “WEB OF SCIENCE” (of Thomson Reuters) are update at: 2024-11-10References taken from IsiWeb of Knowledge: (subscribers only)Connecting to view paper tab on IsiWeb: Click hereConnecting to view citations from IsiWeb: Click here