Fluctuation of mean Lyapunov exponent for a coupled map lattice model

Hiroshi Shibata

Physica A: Statistical Mechanics and its Applications, 2000, vol. 284, issue 1, 124-130

Abstract: Fluctuation of mean Lyapunov exponent for the coupled map lattice of logistic map is studied. Theorem by Gallavotti and Cohen for many particle systems is applied to the coupled map lattice model. It is shown that the fluctuation of mean Lyapunov exponent for the model satisfies the extended form of the fluctuation theorem by them. The concept of the mean Lyapunov exponent introduced in this paper turns out to be realistic as well as the one for many particle systems. As a result, the relation between mean Lyapunov exponent and entropy production rate is derived.

Keywords: Entropy production rate; Coupled map lattice; Mean Lyapunov exponent; Local Lyapunov exponent; Phase-space volume (search for similar items in EconPapers)
Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:284:y:2000:i:1:p:124-130

DOI: 10.1016/S0378-4371(00)00183-7

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