Robust chaos synchronization of noise-perturbed chaotic systems with multiple time-delays

2008 ◽  
Vol 387 (13) ◽  
pp. 3093-3102 ◽  
Author(s):  
Chun-Kai Cheng ◽  
Hang-Hong Kuo ◽  
Yi-You Hou ◽  
Chi-Chuan Hwang ◽  
Teh-Lu Liao
Keyword(s):  
Time Delays ◽  
Chaos Synchronization ◽  
Chaotic Systems ◽  
Multiple Time ◽  
Multiple Time Delays

Zero-lag synchronization and multiple time delays in two coupled chaotic systems

2010 ◽  
Vol 81 (3) ◽  
Author(s):  
Meital Zigzag ◽  
Maria Butkovski ◽  
Anja Englert ◽  
Wolfgang Kinzel ◽  
Ido Kanter
Keyword(s):  
Time Delays ◽  
Chaotic Systems ◽  
Multiple Time ◽  
Lag Synchronization ◽  
Multiple Time Delays

Delay-independent stabilization of nonlinear systems with multiple time-delays and its application in chaos synchronization of Rössler system

2016 ◽  
Vol 9 (2) ◽  
pp. 205-216 ◽  
Author(s):  
Ping He ◽  
Tao Fan
Keyword(s):  
Nonlinear Systems ◽  
Time Delays ◽  
Chaos Synchronization ◽  
Linear Matrix ◽  
Multiple Time ◽  
Content Type ◽  
Multiple Time Delays ◽  
Rossler System ◽  
Rössler System ◽  
And Algebra

Purpose – The purpose of this paper is with delay-independent stabilization of nonlinear systems with multiple time-delays and its application in chaos synchronization of Rössler system. Design/methodology/approach – Based on linear matrix inequality and algebra Riccati matrix equation, the stabilization result is derived to guarantee asymptotically stable and applicated in chaos synchronization of Rössler chaotic system with multiple time-delays. Findings – A controller is designed and added to the nonlinear system with multiple time-delays. The stability of the nonlinear system at its zero equilibrium point is guaranteed by applying the appropriate controller signal based on linear matrix inequality and algebra Riccati matrix equation scheme. Another effective controller is also designed for the global asymptotic synchronization on the Rössler system based on the structure of delay-independent stabilization of nonlinear systems with multiple time-delays. Numerical simulations are demonstrated to verify the effectiveness of the proposed controller scheme. Originality/value – The introduced approach is interesting for delay-independent stabilization of nonlinear systems with multiple time-delays and its application in chaos synchronization of Rössler system.

scholarly journals Combination Synchronization of Three Different Fractional-Order Delayed Chaotic Systems

Complexity ◽  
2019 ◽  
Vol 2019 ◽  
pp. 1-9 ◽  
Author(s):  
Bo Li ◽  
Xiaobing Zhou ◽  
Yun Wang
Keyword(s):  
Time Delay ◽  
Fractional Order ◽  
Time Delays ◽  
Chaotic Systems ◽  
Multiple Time ◽  
Engineering Systems ◽  
Fractional Order Systems ◽  
Combination Synchronization ◽  
Multiple Time Delays ◽  
Practical Engineering

Time delay is a frequently encountered phenomenon in some practical engineering systems and introducing time delay into a system can enrich its dynamic characteristics. There has been a plenty of interesting results on fractional-order chaotic systems or integer-order delayed chaotic systems, but the problem of synchronization of fractional-order chaotic systems with time delays is in the primary stage. Combination synchronization of three different fractional-order delayed chaotic systems is investigated in this paper. It is an extension of combination synchronization of delayed chaotic systems or combination synchronization of fractional-order chaotic systems. With the help of stability theory of linear fractional-order systems with multiple time delays, we design controllers to achieve combination synchronization of three different fractional-order delayed chaotic systems. In addition, numerical simulations have been performed to demonstrate and verify the theoretical analysis.

Chaos synchronization between the Mackey–Glass systems with multiple time delays

2006 ◽  
Vol 29 (4) ◽  
pp. 854-861 ◽  
Author(s):  
E.M. Shahverdiev ◽  
R.A. Nuriev ◽  
R.H. Hashimov ◽  
K.A. Shore
Keyword(s):  
Time Delays ◽  
Chaos Synchronization ◽  
Multiple Time ◽  
Multiple Time Delays

Inverse chaos synchronization in linearly and nonlinearly coupled systems with multiple time-delays

2006 ◽  
Vol 29 (4) ◽  
pp. 838-844 ◽  
Author(s):  
E.M. Shahverdiev ◽  
R.H. Hashimov ◽  
R.A. Nuriev ◽  
L.H. Hashimova ◽  
E.M. Huseynova ◽  
...  
Keyword(s):  
Time Delays ◽  
Chaos Synchronization ◽  
Coupled Systems ◽  
Multiple Time ◽  
Multiple Time Delays
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