Chaos crisis in coupled Duffing's systems with initial phase difference

被引:8
作者
Bi, Qinsheng [1 ]
机构
[1] Jiangsu Univ, Fac Sci, Zhenjiang 212013, Peoples R China
基金
中国国家自然科学基金;
关键词
coupled duffing's oscillators; bifurcation; chaotic attractor; boundary chaos crisis;
D O I
10.1016/j.physleta.2007.02.101
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The dynamics of coupled Duffing's oscillators with initial phase difference is investigated in this Letter. For the averaged equations, different equilibrium points can be observed, the number of which may vary with the parameters. The stable equilibrium points, corresponding to the periodic motion of the original coupled oscillators, may coexist with different patterns of dynamics, including chaos. Furthermore, two different chaotic attractors associated with different attracting basin coexist for certain parameter conditions, which may interact with each other to form an enlarged chaotic attractor. Several new dynamical phenomena such as boundary chaos crises have been predicted as the initial phase difference varies. (C) 2007 Elsevier B.V. All rights reserved.
引用
收藏
页码:418 / 431
页数:14
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