Fluctuation of mean Lyapunov exponent for Kuramoto-Sivashinsky equation

被引：5

作者：

Shibata, H ^{[1
]}

机构：

[1] Sojo Univ, Dept Gen Educ, Kumamoto 8600082, Japan

来源：

PHYSICA A | 2000年 / 285卷 / 3-4期

关键词：

mean Lyapunov exponent; local Lyapunov exponent; Kuramoto-Sivashinsky equation; probability distribution function;

D O I：

10.1016/S0378-4371(00)00250-8

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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. (C) 2000 Elsevier Science B.V. All rights reserved.

引用

页码：325 / 331

页数：7

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