Analysis and control for a new chaotic system via piecewise linear feedback

2009 ◽  
Vol 42 (4) ◽  
pp. 2181-2190 ◽  
Author(s):  
Jianxiong Zhang ◽  
Wansheng Tang
2003 ◽  
Vol 13 (04) ◽  
pp. 895-904 ◽  
Author(s):  
JAUME LLIBRE ◽  
ENRIQUE PONCE

Given an arbitrary positive integer n, it is shown that there exist planar piecewise linear differential systems with at least n limit cycles.


2007 ◽  
Vol 21 (25) ◽  
pp. 1687-1696 ◽  
Author(s):  
XINGYUAN WANG ◽  
XIANGJUN WU ◽  
YAHUI LANG

In this paper a chaotic system is proposed via modifying hyperchaotic Chen system. Some basic dynamical properties, such as Lyapunov exponents, fractal dimension, chaotic behaviors of this system are studied. The conventional feedback, linear function feedback, nonlinear hyperbolic function feedback control methods are applied to control chaos to unstable equilibrium point. The conditions of stability to control the system is derived according to the Routh–Hurwitz criteria. Numerical results have shown the validity of the proposed schemes.


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