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Journal of Applied MathematicsVolume 2014 2014, Article ID 371509, 13 pages

Research ArticleDepartment of Mathematics, Lanzhou Jiaotong University, Lanzhou 730070, China

Received 28 March 2014; Revised 30 June 2014; Accepted 30 June 2014; Published 22 July 2014

Academic Editor: Maoan Han

Copyright © 2014 Zhang Jiangang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

A new approach to generate chaotic phenomenon, called chaos entanglement, is introduced in this paper. The basic principle is to entangle two or multiple stable linear subsystems by entanglement functions to form an artificial chaotic system such that each of them evolves in a chaotic manner. The Hopf bifurcation of a new chaotic system with chaos entanglement function is studied. More precisely, we study the stability and bifurcations of equilibrium in the new chaotic system. Besides, we controlled the system to any fixed point to eliminate the chaotic vibration by means of sliding mode method. And the numerical simulations were presented to confirm the effectiveness of the controller.





Autor: Zhang Jiangang, Chu Yandong, Du Wenju, Chang Yingxiang, and An Xinlei

Fuente: https://www.hindawi.com/



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