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Chin. Phys. B, 2015, Vol. 24(5): 050503    DOI: 10.1088/1674-1056/24/5/050503
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Complex transient dynamics of hidden attractors in a simple4D system

Dang Xiao-Yu (党小宇)a, Li Chun-Biao (李春彪)b, Bao Bo-Cheng (包伯成)c, Wu Hua-Gan (武花干)d
a College of Electronic and Information Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China;
b School of Electronic & Information Engineering, Nanjing University of Information Science & Technology, Nanjing 210044, China;
c School of Information Science and Engineering, Changzhou University, Changzhou 213164, China;
d School of Electronic and Optical Engineering, Nanjing University of Science and Technology, Nanjing 210094, China

A simple four-dimensional system with only one control parameter is proposed in this paper. The novel system has a line or no equilibrium for the global control parameter and exhibits complex transient transition behaviors of hyperchaotic attractors, periodic orbits, and unstable sinks. Especially, for the nonzero-valued control parameter, there exists no equilibrium in the proposed system, leading to the formation of various hidden attractors with complex transient dynamics. The research results indicate that the dynamics of the system shows weak chaotic robustness and depends greatly on the initial states.

Keywords:  transient dynamics      hidden attractor      equilibrium  
Received:  10 October 2014      Revised:  21 December 2014      Accepted manuscript online: 
PACS:  05.45.-a (Nonlinear dynamics and chaos)  
  05.45.Ac (Low-dimensional chaos)  
  05.45.Pq (Numerical simulations of chaotic systems)  

Project supported by the National Natural Science Foundation of China (Grant No. 51277017), the Natural Science Foundation of Jiangsu Province, China (Grant No. BK2012583), and the Fundamental Research Funds for the Central Universities of China (Grant No. NS2014038).

Corresponding Authors:  Bao Bo-Cheng     E-mail:
About author:  05.45.-a; 05.45.Ac; 05.45.Pq

Cite this article: 

Dang Xiao-Yu (党小宇), Li Chun-Biao (李春彪), Bao Bo-Cheng (包伯成), Wu Hua-Gan (武花干) Complex transient dynamics of hidden attractors in a simple4D system 2015 Chin. Phys. B 24 050503

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