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Title: Symmetry of Lyapunov spectrum

Abstract

The symmetry of the spectrum of Lyapunov exponents provides a useful quantitative connection between properties of dynamical systems consisting of N interacting particles coupled to a thermostat, and nonequilibrium statistical mechanics. The authors obtain here sufficient conditions for this symmetry and analyze the structure of 1/N corrections ignored in previous studies. The relation of the Lyapunov spectrum symmetry with some other symmetries of dynamical systems is discussed.

Authors:
; ;  [1]
  1. (Rockefeller Univ., New York, NY (United States))
Publication Date:
OSTI Identifier:
7015832
DOE Contract Number:  
FG02-88ER13847
Resource Type:
Journal Article
Journal Name:
Journal of Statistical Physics; (United States)
Additional Journal Information:
Journal Volume: 74:5-6; Journal ID: ISSN 0022-4715
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; STATISTICAL MECHANICS; DYNAMICS; LYAPUNOV METHOD; SYMMETRY; CALCULATION METHODS; MECHANICS; 661300* - Other Aspects of Physical Science- (1992-)

Citation Formats

Gupalo, D., Kaganovich, A.S., and Cohen, E.G.D. Symmetry of Lyapunov spectrum. United States: N. p., 1994. Web. doi:10.1007/BF02188220.
Gupalo, D., Kaganovich, A.S., & Cohen, E.G.D. Symmetry of Lyapunov spectrum. United States. doi:10.1007/BF02188220.
Gupalo, D., Kaganovich, A.S., and Cohen, E.G.D. Tue . "Symmetry of Lyapunov spectrum". United States. doi:10.1007/BF02188220.
@article{osti_7015832,
title = {Symmetry of Lyapunov spectrum},
author = {Gupalo, D. and Kaganovich, A.S. and Cohen, E.G.D.},
abstractNote = {The symmetry of the spectrum of Lyapunov exponents provides a useful quantitative connection between properties of dynamical systems consisting of N interacting particles coupled to a thermostat, and nonequilibrium statistical mechanics. The authors obtain here sufficient conditions for this symmetry and analyze the structure of 1/N corrections ignored in previous studies. The relation of the Lyapunov spectrum symmetry with some other symmetries of dynamical systems is discussed.},
doi = {10.1007/BF02188220},
journal = {Journal of Statistical Physics; (United States)},
issn = {0022-4715},
number = ,
volume = 74:5-6,
place = {United States},
year = {1994},
month = {3}
}