Spatial chaos in a fourth-order nonlinear parabolic equation

被引：13

作者：

Albeverio, S

Nizhnik, IL

机构：

[1] Ukrainian Acad Sci, Inst Math, UA-01601 Kiev, Ukraine

[2] Univ Bonn, Inst Angew Math, D-53115 Bonn, Germany

来源：

PHYSICS LETTERS A | 2001年 / 288卷 / 5-6期

关键词：

diffusion equation; entropy; spatial chaos;

D O I：

10.1016/S0375-9601(01)00532-1

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Bounded stationary solutions for a fourth-order extended Fisher-Kolmogorov equation with cubic-like piecewise linear nonlinearity are given. Those solutions which have a finite number of zeros are characterized by means of a set of integers associated with the distance between the zeros. The value of the spatial entropy is estimated and the existence of spatial chaos is shown. (C) 2001 Elsevier Science B.V. All rights reserved.

引用

页码：299 / 304

页数：6

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