Wang Guang-Yi(王光义)a)†, Qiu Shui-Sheng(丘水生)b), Li Hong-Wei (李宏伟)c), Li Cai-Fen(李彩芬)a), and Zheng Yan(郑艳)a)
a School of Electronics Information, Hangzhou Dianzi University, Hangzhou 310018, China; b School of Electronic and Information Engineering, South China University of Technology, Guangzhou 510640, China; c Department of Physics and Engineering, Binzhou University, Binzhou 256604, China
Abstract Based on the Lü system, a new chaotic system is constructed, which can generate a Lorenz-like attractor, Chen-like attractor, Lü-like attractor and new attractor when its parameters are chosen appropriately. The detailed dynamical behaviours of this system are also investigated, including equilibria and stability, bifurcations, and Lyapunov exponent spectrum. Moreover, a novel analogue circuit diagram is designed for the verification of various attractors.
Received: 13 February 2006
Revised: 13 July 2006
Accepted manuscript online:
PACS:
05.45.-a
(Nonlinear dynamics and chaos)
Fund: Project supported by the National Natural Science Foundation of China (Grant No 60372004),
the Natural Science Foundation of Zhejiang Province, China
(Grant No Y105175) and the Science investigation Foundation
of Hangzhou Dianzi University, China (Grant N
Cite this article:
Wang Guang-Yi(王光义), Qiu Shui-Sheng(丘水生), Li Hong-Wei (李宏伟), Li Cai-Fen(李彩芬), and Zheng Yan(郑艳) A new chaotic system and its circuit realization 2006 Chinese Physics 15 2872
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