STRANGE ATTRACTORS IN SYMMETRIC UNFOLDINGS OF A SINGULARITY WITH THREE-FOLD ZERO EIGENVALUE

• 来源期刊: 微分方程年刊（英文版）
• 关键词: singularity symmetric unfolding heteroclinic orbit Sil'nikov bifur-cation strange attractor normal form blow-up generalized Mel'nikov methods
• 年，卷（期）: 2009,（2）
• 页码范围: 228-238
• 页数: 11页
• 语种: 英文

摘要

In this paper, we study the Sil'nikov heteroclinic bifurcations, which display strange attractors, for the symmetric versal unfoldings of the singularity at the origin with a nilpotent Linear part and 3-jet, using the normal form, the blow-up and the ge-neralized Mel'nikov methods of heteroclinic orbits to two hyperbolic or nonhyperbolic equilibria in a high-dimensional space.