MULTI-SCROLL CHAOTIC AND HYPERCHAOTIC ATTRACTORS GENERATED FROM CHEN SYSTEM

作者：Liu Xinzhi^*; Shen Xuemin; Zhang Hongtao

来源：International Journal of Bifurcation and Chaos, 2012, 22(2): 1250033.

DOI：10.1142/S0218127412500332

• Chaos
• Chen system
• Lyapunov exponent
• Hopf bifurcation

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.

• 出版日期2012-2