THE BIFURCATIONS OF COUNTABLE CONNECTIONS FROM A TWISTED HETEROCLINIC LOOP

被引：28

作者：

DENG, B

机构：

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 1991年 / 22卷 / 03期

关键词：

TWISTED HETEROCLINIC ORBIT; HOMOCLINIC ORBIT; PERIODIC ORBIT; K-HETEROCLINIC ORBIT; SILNIKOVS VARIABLES; EXPONENTIAL EXPANSIONS; STRONG LAMBDA-LEMMAS; ENTRANCE SETS; EXIT SETS; BIFURCATION EQUATIONS;

D O I：

10.1137/0522041

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Codimension-two bifurcation phenomena associated with nondegenerate heteroclinic loops are studied. The bifurcation curves of homoclinic orbits in the parameter space are characterized by the twist structure of the heteroclinic loops at the bifurcation points. Among other things, it is shown that heteroclinic orbits with any given winding number around a doubly twisted heteroclinic loop must bifurcate. Applications of these bifurcation phenomena are also discussed.

引用

页码：653 / 679

页数：27

共 21 条

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[2]

Chow S. N., 1990, J DYN DIFFER EQU, V2, P177

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