Lyapunov exponent of partial differential equation

被引：26

作者：

Shibata, H ^{[1
]}

机构：

[1] Kumamoto Inst Technol, Dept Gen Educ, Kumamoto 860, Japan

来源：

PHYSICA A | 1999年 / 264卷 / 1-2期

关键词：

Lyapunov exponent; spatiotemporal chaos; mean Lyapunov exponent; local Lyapunov exponent; Kuramoto-Sivashinsky equation; partial differential equation;

D O I：

10.1016/S0378-4371(98)00445-2

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The method of calculating numerically the Lyapunov exponent of partial differential equations is stated. The mean Lyapunov exponent and the local Lyapunov exponent are introduced in order to characterize the systems described by the partial differential equations. it is shown that the mean Lyapunov exponent expresses clearly how disordered the spatial patterns are. (C) 1999 Elsevier Science B.V. All rights reserved.

引用

页码：226 / 233

页数：8

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