STABILITY OF SPATIALLY HOMOGENEOUS PERIODIC-SOLUTIONS OF REACTION-DIFFUSION EQUATIONS

被引：47

作者：

MAGINU, K

机构：

[1] Department of Mathematical Engineering and Instrumentation Physics, Faculty of Engineering, University of Tokyo, Tokyo

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 1979年 / 31卷 / 01期

关键词：

D O I：

10.1016/0022-0396(79)90156-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

When a certain condition is satisfied, a reaction-diffusion equation has a spatially homogeneous periodic solution, i.e. a temporally periodic solution that does not depend on spatial variables. We analyse the orbital stability of this periodic solution. A sufficient condition is given for the homogeneity breaking instability, which is stated in terms of the manner of dependency of its temporal period on a certain parameter of the system. © 1979 Academic Press, Inc. All Rights Reserved.

引用

页码：130 / 138

页数：9

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