Fluctuation of mean Lyapunov exponent for Kuramoto–Sivashinsky equation

Hiroshi Shibata

Physica A: Statistical Mechanics and its Applications, 2000, vol. 285, issue 3, 325-331

Abstract: The statistical aspect of Lyapunov exponent for Kuramoto–Sivashinsky equation is studied. Fluctuation of mean Lyapunov exponent is given by the probability distribution function of its time coarse grained quantity, local Lyapunov exponent. The functional form of the probability distribution function is obtained. Its form is different from the one obtained from the large deviation statistics. Also, the relation between the damping constant included in Kuramoto–Sivashinsky equation and Lyapunov exponent is obtained.

Keywords: Mean Lyapunov exponent; Local Lyapunov exponent; Kuramoto–Sivashinsky equation; Probability distribution function (search for similar items in EconPapers)
Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:285:y:2000:i:3:p:325-331

DOI: 10.1016/S0378-4371(00)00250-8

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