Multi-scroll Chaotic and hyperchaotic attractors Generated from Chen System

Multi-scroll Chaotic and hyperchaotic attractors Generated from Chen System
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DOI：
10.1142/s0218127412500332
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发表时间：
2012-04
期刊：
Int. J. Bifurc. Chaos
影响因子：
--
通讯作者：
Xinzhi Liu;Xuemin Shen;Hongtao Zhang
Xinzhi Liu;Xuemin Shen;Hongtao Zhang
中科院分区：
其他
文献类型：
--
作者：
Xinzhi Liu;Xuemin Shen;Hongtao Zhang

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In this paper, we create a multi-scroll chaotic attractor from Chen system by a nonlinear feedback control. The dynamic behavior of the new chaotic attractor is analyzed. Specially, the Lyapunov spectrum and Lyapunov dimension are calculated and the bifurcation diagram is sketched. Furthermore, via changing the value of the control parameters, we can increase the number of equilibrium points and obtain a family of more complex chaotic attractors with different topological structures. By introducing time delay to the feedback control, we then generalize the multi-scroll attractor to a set of hyperchaotic attractors. Computer simulations are given to illustrate the phase portraits with different system parameters.