SPATIALLY PERIODIC-ORBITS IN COUPLED-MAP LATTICES

被引：48

作者：

GADE, PM

AMRITKAR, RE

机构：

[1] Department of Physics, University of Poona

来源：

PHYSICAL REVIEW E | 1993年 / 47卷 / 01期

关键词：

D O I：

10.1103/PhysRevE.47.143

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

We obtain the conditions that ensure the stability of spatially and temporally periodic orbits of coupled-map lattices. The stability matrices can be put in a circulant and block circulant form. This allows us to reduce the problem to smaller matrices corresponding to the building blocks of spatial periodicity. We find that additional conditions are imposed as we expand the size of the lattice. For the traveling-wave solution the analysis is considerably simplified. We have analyzed both the one-dimensional and higher-dimensional lattices.

引用

页码：143 / 154

页数：12

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