中国物理B ›› 2015, Vol. 24 ›› Issue (5): 50503-050503.doi: 10.1088/1674-1056/24/5/050503
Complex transient dynamics of hidden attractors in a simple4D system
党小宇a, 李春彪b, 包伯成c, 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
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
摘要：
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.
中图分类号: (Nonlinear dynamics and chaos)
- 05.45.-a