Adaptive finite-time outer synchronization between two complex dynamical networks with noise perturbation

2017 ◽  
Vol 89 (4) ◽  
pp. 2967-2977 ◽  
Author(s):  
Maoxing Liu ◽  
Jie Wu ◽  
Yong-zheng Sun
Keyword(s):  
Finite Time ◽  
Complex Dynamical Networks ◽  
Dynamical Networks ◽  
Outer Synchronization ◽  
Noise Perturbation

Finite-time outer synchronization between two complex dynamical networks with on–off coupling

2015 ◽  
Vol 26 (08) ◽  
pp. 1550095 ◽  
Author(s):  
Yan Dong ◽  
Junwei Chen
Keyword(s):  
Lyapunov Function ◽  
Coupling Strength ◽  
Finite Time ◽  
Differential Inequality ◽  
Sufficient Conditions ◽  
Complex Dynamical Networks ◽  
Dynamical Networks ◽  
Outer Synchronization ◽  
Time Differential ◽  
Theoretical Results

In this paper, the finite-time outer synchronization between two complex dynamical networks with on–off coupling is investigated. By using suitable on–off controllers, sufficient conditions for finite-time outer synchronization are derived based on the Lyapunov function and the finite-time differential inequality method. The theoretical results imply that the two networks will achieve finite-time outer synchronization for fixed on–off rate if the control coupling strength is large enough. Numerical simulations are given to demonstrate the effectiveness of the theoretical results.

Noise-induced outer synchronization between two different complex dynamical networks

2013 ◽  
Vol 76 (1) ◽  
pp. 519-528 ◽  
Author(s):  
Yongzheng Sun ◽  
Hongjun Shi ◽  
Emmanuel A. Bakare ◽  
Qingxin Meng
Keyword(s):  
Complex Dynamical Networks ◽  
Dynamical Networks ◽  
Outer Synchronization
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