THE STABLE CLASSES AND THE CODIMENSION-ONE BIFURCATIONS OF THE PLANAR REPLICATOR SYSTEM

被引：5

作者：

EDALAT, A ^{[1
]}

ZEEMAN, EC ^{[1
]}

机构：

[1] UNIV WARWICK,COVENTRY CV4 7AL,W MIDLANDS,ENGLAND

来源：

NONLINEARITY | 1992年 / 5卷 / 04期

关键词：

D O I：

10.1088/0951-7715/5/4/005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The nine-dimensional parameter space of the planar replicator system is reduced to a 3-torus and then stratified into 19 different components which are shown to be the stable classes of the system. A complete list of the 38 codimension-one bifurcations in the system is obtained and it is shown that the transversal deformations of topologically similar codimension-one flows with no cycle of saddles are equivalent.

引用

页码：921 / 939

页数：19

共 11 条

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