首页 | 本学科首页   官方微博 | 高级检索  
     检索      


DEGENERATED HOMOCLINIC BIFURCATIONS WITH HIGHER DIMENSIONS
Authors:JIN Yinlai and ZHU Deming
Institution:1. Department of Mathematics, East China Normal University, Shanghai 200062, China;Department of Mathematics, Linyi Teacher College, Linyi 276005, Shandong, China
2. Department of Mathematics, East China Normal University, Shanghai 200062, China
Abstract: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 Γ are studied under the nonresonant condition. Complicated bifurcation pattern is described under the resonant condition. Project supported by the National Natural Science Foundation of China (No. 19771037).
Keywords:Local coordinates  Poincare map  Homoclinic orbit  Periodic orbit  2-fold periodic orbit  Resonant condition
本文献已被 CNKI 维普 万方数据 SpringerLink 等数据库收录!
点击此处可从《数学年刊B辑(英文版)》浏览原始摘要信息
点击此处可从《数学年刊B辑(英文版)》下载免费的PDF全文
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号