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; bSchool of Electrical and Information Engineering, Jiangsu Teachers University of Technology, Changzhou 213001, China; cJiangsu Institute of Economic & Trade Technology, Nanjing 210007, China; dSchool of Electrical Engineering, Southwest Jiaotong University, Chengdu 610031, China
Abstract 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.
Received: 29 February 2008
Revised: 19 March 2008
Accepted manuscript online:
Bao Bo-Cheng(包伯成), Li Chun-Biao(李春彪), Xu Jian-Ping(许建平), Liu Zhong(刘中) New robust chaotic system with exponential quadratic term 2008 Chin. Phys. B 17 4022
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