期刊
NONLINEAR DYNAMICS
卷 83, 期 1-2, 页码 1069-1078出版社
SPRINGER
DOI: 10.1007/s11071-015-2388-3
关键词
Index theory; Topological structure; Multi-wing chaotic attractor; Lyapunov exponents
资金
- Natural Science Foundation of China [61174094, 11202148, 61403274]
- Tianjin Natural Science Foundation [14JCYBJC18700]
- Application Base and Frontier Technology Research Project of Tianjin of China [13JCQNJC03600]
- Shandong Natural Science Foundation [ZR2012FM034]
- China/South Africa Research Cooperation Programme [78673, CS06-L02]
- South African National Research Foundation [81705]
This paper proposed a new method for exploring three-dimensional chaotic attractors with complicated topological structure. Based on the index theory, the theoretical foundation of the new method is explained clearly and concisely, and the feasibility of this method is progressively illustrated by a multi-wing three-dimensional chaotic attractor derived from a two-dimensional continuous autonomous dynamical system with thirteen equilibrium points. Moreover, the experimental results are also discussed. To validate the generalization ability of the proposed method, another two chaotic systems are constructed based on the proposed method. The numerical results show the effectiveness of the proposed method.
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