DEGENERATED HOMOCLINIC BIFURCATIONS WITH HIGHER DIMENSIONS

被引：0
|
作者：
JIN YINLAI(Department of Mathematica
机构：
来源：
Chinese Annals of Mathematics,Series B | 2000年 / 02期
基金：
中国国家自然科学基金;
关键词：
Local coordinates; Poincare map; Homoclinic orbit; Periodic orbit; 2-fold periodic orbit; Resonant condition;
D O I：
暂无
中图分类号：
O175.12 [定性理论];
学科分类号：
070104 ;
摘要：
The degenerated homoclinic bifurcation for high dimensional system is considered. The existence, uniqueness, and incoexistence of the 1-homclinic orbit and 1-periodic orbit near　Г are studied under the nonresonant condition. Complicated bifurcation pattern is described under the resonant condition.
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页码：201 / 210
页数：10
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