Chaos synchronization between two different chaotic systems via nonlinear feedback control

2009 ◽  
Vol 70 (12) ◽  
pp. 4393-4401 ◽  
Author(s):  
Heng-Hui Chen ◽  
Geeng-Jen Sheu ◽  
Yung-Lung Lin ◽  
Chaio-Shiung Chen
Keyword(s):  
Feedback Control ◽  
Chaos Synchronization ◽  
Chaotic Systems ◽  
Nonlinear Feedback Control ◽  
Nonlinear Feedback ◽  
Different Chaotic Systems

Synchronization of Liu-Su-Liu and Liu-Chen-Liu Chaotic Systems by Nonlinear Feedback Control

2019 ◽  
Vol 16 (12) ◽  
pp. 4903-4907
Author(s):  
Regan Murugesan ◽  
Suresh Rasappan ◽  
Pugalarasu Rajan ◽  
Sathish Kumar Kumaravel
Keyword(s):  
Feedback Control ◽  
Nonlinear Control ◽  
Chaotic System ◽  
Chaos Synchronization ◽  
Chaotic Systems ◽  
Control Method ◽  
Nonlinear Feedback Control ◽  
Nonlinear Feedback ◽  
Nonlinear Control Method ◽  
Different Chaotic Systems

This paper investigates the global chaos synchronization of identical Liu-Su-Liu chaotic systems (2006) and non-identical Liu-Su-Liu chaotic system (2006) and Liu-Chen-Liu chaotic system (2007). In this paper, active nonlinear control method has been successfully applied to synchronize two identical Liu-Su-Liu chaotic systems and then to synchronize two different chaotic systems, viz. Liu-Su-Liu and Liu-Chen-Liu chaotic systems. Since the Lyapunov exponents are not required for these calculations, the active nonlinear control method is effective and convenient to synchronize Liu-Su-Liu and Liu-Chen-Liu chaotic systems. Numerical simulations are also given to illustrate the proposed synchronization approach.

A TYPE OF SINGLE SCROLL ATTRACTOR CHAOS SYNCHRONIZATION

2010 ◽  
Vol 24 (27) ◽  
pp. 5269-5283
Author(s):  
TIANSHU WANG ◽  
XINGYUAN WANG
Keyword(s):  
Numerical Simulations ◽  
Active Control ◽  
Chaos Synchronization ◽  
Chaotic Systems ◽  
Control Function ◽  
Function Parameter ◽  
Nonlinear Feedback ◽  
Global Synchronization ◽  
Linear And Nonlinear ◽  
Different Chaotic Systems

This paper studies a type of single scroll attractor chaos system. Based on the research of Jiang et al. the global synchronization method is designed, and moreover, the author uses a combined synchronization of linear and nonlinear feedback, active control, single vector and unidirectional coupling synchronization three methods else, the problem of synchronization between same and different chaotic systems are realized by the four methods, respectively. The range of control function parameter is discussed according to the Routh–Hurwitz criterion and numerical simulations show the effectiveness of them.

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