Symmetry-breaking bifurcation with on-off intermittency in chaotic dynamical systems

被引:52
作者
Lai, YC
机构
[1] Department of Physics and Astronomy, Department of Mathematics, Kansas Institute for Theoretical and Computational Science, Lawrence, KS, 66045, The University of Kansas
关键词
D O I
10.1103/PhysRevE.53.R4267
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
When a dynamical system possesses certain symmetry, there can be an invariant subspace in the phase space. In the invariant subspace there can be a chaotic attractor. As a parameter changes through a critical value, the chaotic attractor can lose stability with respect to perturbations transverse to the invariant subspace. We show that the loss of the transverse stability can lead to a symmetry-breaking bifurcation characterized by lack of the system symmetry in the asymptotic attractor. An accompanying physical phenomenon is an extreme type of temporally intermittent bursting behavior. The mechanism for this type of symmetry-breaking bifurcation is elucidated.
引用
收藏
页码:R4267 / R4270
页数:4
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