Outer synchronization between two complex dynamical networks with discontinuous coupling

2012 ◽  
Vol 22 (4) ◽  
pp. 043125 ◽  
Author(s):  
Yongzheng Sun ◽  
Wang Li ◽  
Donghua Zhao
Keyword(s):  
Complex Dynamical Networks ◽  
Dynamical Networks ◽  
Outer Synchronization ◽  
Discontinuous Coupling

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

Analyzing synchronization of time-delayed complex dynamical networks with periodic on-off coupling

2017 ◽  
Vol 31 (28) ◽  
pp. 1750210
Author(s):  
Wang Li ◽  
Yongzheng Sun ◽  
Youquan Liu ◽  
Donghua Zhao
Keyword(s):  
Time Delay ◽  
Coupling Strength ◽  
Sufficient Conditions ◽  
Numerical Results ◽  
Complex Dynamical Networks ◽  
Dynamical Networks ◽  
Outer Synchronization ◽  
Synchronization Time ◽  
Integer Multiple ◽  
Delay Step

We investigate the synchronization of time-delayed complex dynamical networks with periodic on-off coupling. We derive sufficient conditions for the complete and generalized outer synchronization. Both our analytical and numerical results show that two time-delayed networks can achieve outer synchronization even if the couplings between the two networks switch off periodically. This synchronization behavior is largely dependent of the coupling strength, the on-off period, the on-off rate and the time delay. In particular, we find that the synchronization time nonmonotonically increases as the time delay increases when the time delay step is not equal to an integer multiple of the on-off period.

scholarly journals Generalized Outer Synchronization of Stochastic Neural Networks With Time-Varying Delays

2015 ◽  
Vol 0 (0) ◽  
Author(s):  
Ping He
Keyword(s):  
Neural Networks ◽  
Brownian Motion ◽  
Sufficient Conditions ◽  
Complex Dynamical Networks ◽  
Stochastic Neural Networks ◽  
Time Varying ◽  
Dynamical Networks ◽  
Outer Synchronization ◽  
Stochastic Disturbance ◽  
Stochastic Invariance

Abstract In this paper, generalized outer synchronization between two different stochastic coupled complex dynamical networks with time-varying delays has been investigated. A novel controller is given and the stochastic invariance principle is applied. A stochastic disturbance which is described in term of a Brownian motion are considered in complex dynamical networks. Moreover, some sufficient conditions are derived to ensure generalized outer synchronization of stochastic neural networks. Surprisingly, it is found that complex networks with different structure can be synchronized.

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