中国物理B ›› 2008, Vol. 17 ›› Issue (11): 4022-4026.doi: 10.1088/1674-1056/17/11/014
New robust chaotic system with exponential quadratic term
刘 中1, 李春彪2, 包伯成3, 许建平4
- (1)Department of Electronic Engineering, Nanjing University of Science and Technology, Nanjing 210094, China; (2)Department of Electronic Engineering, Nanjing University of Science and Technology, Nanjing 210094, China;Jiangsu Institute of Economic {\& Trade Technology, Nanjing 210007, China; (3)Department of Electronic Engineering, Nanjing University of Science and Technology, Nanjing 210094, China;School of Electrical and Information Engineering, Jiangsu Teachers University of Technology, Changzhou 213001, China; (4)School of Electrical Engineering, Southwest Jiaotong University, Chengdu 610031, China
New robust chaotic system with exponential quadratic term
Bao Bo-Cheng(包伯成)ab, Li Chun-Biao (李春彪)ac, Xu Jian-Ping(许建平)d, Liu Zhong(刘中)a
- a Department of Electronic Engineering, Nanjing University of Science and Technology, Nanjing 210094, China; b School of Electrical and Information Engineering, Jiangsu Teachers University of Technology, Changzhou 213001, China; c Jiangsu Institute of Economic & Trade Technology, Nanjing 210007, China; d School of Electrical Engineering, Southwest Jiaotong University, Chengdu 610031, China
摘要： This paper proposes a new robust chaotic system of three-dimensional quadratic autonomous ordinary differential equations by introducing an exponential quadratic term. This system can display a double-scroll chaotic attractor with only two equilibria, and can be found to be robust chaotic in a very wide parameter domain with positive maximum Lyapunov exponent. Some basic dynamical properties and chaotic behaviour of novel attractor are studied. By numerical simulation, this paper verifies that the three-dimensional system can also evolve into periodic and chaotic behaviours by a constant controller.
中图分类号: (Numerical simulations of chaotic systems)
- 05.45.Pq