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STRANGE ATTRACTORS IN SYMMETRIC UNFOLDINGS OF A SINGULARITY WITH THREE-FOLD ZERO EIGENVALUE
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作者 Qinghua Zhou (College of Mathematics and Information Sciences,Zhaoqing University,Zhaoqing 526061,Guangdong) 《Annals of Differential Equations》 2009年第2期228-238,共11页
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 no... 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 generalized Mel’nikov methods of heteroclinic orbits to two hyperbolic or nonhyperbolic equilibria in a high-dimensional space. 展开更多
关键词 SINGULARITY symmetric unfolding heteroclinic orbit sil'nikov bifur-cation strange attractor normal form BLOW-UP generalized Mel'nikov methods
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