Complicated behaviors and bifurcation mechanism of the periodic parameter-switching Chen system

Optik ◽  
2017 ◽  
Vol 130 ◽  
pp. 568-575 ◽  
Author(s):  
Chun Zhang ◽  
Xiu-jing Han ◽  
Qinsheng Bi
Keyword(s):  
Chen System ◽  
Bifurcation Mechanism ◽  
Parameter Switching

Emulating “Chaos + Chaos = Order” in Chen’s Circuit of Fractional Order by Parameter Switching

2016 ◽  
Vol 26 (06) ◽  
pp. 1650096 ◽  
Author(s):  
Wallace K. S. Tang ◽  
Marius-F. Danca
Keyword(s):  
Fractional Order ◽  
Electronic Circuit ◽  
Chaotic Circuit ◽  
Chen System ◽  
Potential Applications ◽  
Simulation And Experiment ◽  
Averaged Model ◽  
First Time ◽  
Important Design ◽  
Parameter Switching

In this paper, the effect of the parameter switching (PS) algorithm in a fractional order chaotic circuit is investigated both in simulation and experiment. The Chen system of fractional order is focused and realized in an electronic circuit. By designing a switching circuit, the PS algorithm is implemented and it is the first time, the paradoxical “Chaos [Formula: see text] Chaos [Formula: see text] Order” is presented in an electronic circuit. Both the simulation and experimental results confirm that the obtained attractor under switching approximates the attractor of the time-averaged model. Some important design issues for the circuitry realization of the PS scheme are pointed out. Finally, our work confirms the practical usage of PS algorithm in potential applications such as attractor synthesis and chaos control.

Dynamical behaviors of the periodic parameter-switching system

2013 ◽  
Vol 73 (1-2) ◽  
pp. 29-37 ◽  
Author(s):  
Chun Zhang ◽  
Xiujing Han ◽  
Qinsheng Bi
Keyword(s):  
Switching System ◽  
Dynamical Behaviors ◽  
Parameter Switching

Chaos Anti-Synchronization between Chen System and Lu System

2014 ◽  
Vol 631-632 ◽  
pp. 710-713 ◽  
Author(s):  
Xian Yong Wu ◽  
Hao Wu ◽  
Hao Gong
Keyword(s):  
Chaotic Systems ◽  
Sufficient Conditions ◽  
Lyapunov Theory ◽  
State Variables ◽  
Chen System ◽  
System Parameters ◽  
Control Scheme ◽  
Error Dynamics ◽  
The Stability ◽  
Different Chaotic Systems

Anti-synchronization of two different chaotic systems is investigated. On the basis of Lyapunov theory, adaptive control scheme is proposed when system parameters are unknown, sufficient conditions for the stability of the error dynamics are derived, where the controllers are designed using the sum of the state variables in chaotic systems. Numerical simulations are performed for the Chen and Lu systems to demonstrate the effectiveness of the proposed control strategy.

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