Outer synchronization between dynamic varying networks under noisy condition

Generalized outer synchronization between complex dynamical networks.

In this paper, the problem of generalized outer synchronization between two completely different complex dynamical networks is investigated. With a nonlinear control scheme, a sufficient criterion for this generalized outer synchronization is derived based on Barbalat's lemma. Two corollaries are also obtained, which contains the situations studied in two lately published papers as special case...

Exponential Outer Synchronization between Two Uncertain Time-Varying Complex Networks with Nonlinear Coupling

This paper studies the problem of exponential outer synchronization between two uncertain nonlinearly coupled complex networks with time delays. In order to synchronize uncertain complex networks, an adaptive control scheme is designed based on the Lyapunov stability theorem. Simultaneously, the unknown system parameters of uncertain complex networks are identified when exponential outer synchr...

Synchronization in time-varying networks.

We study the stability of the synchronized state in time-varying complex networks using the concept of basin stability, which is a nonlocal and nonlinear measure of stability that can be easily applied to high-dimensional systems [P. J. Menck, J. Heitzig, N. Marwan, and J. Kurths, Nature Phys. 9, 89 (2013)]. The time-varying character is included by stochastically rewiring each link with the av...

Outer Synchronization of Complex Networks with Multiple Coupling Time-varying Delays

School of Information Science & Engineering, Northeastern University, Shenyang, Liaoning, 110819, People’s Republic of China. [email protected]; [email protected] School of Computer and Communication Engineering, Northeastern University at Qinhuangdao, Qinhuangdao, Hebei, 066004, People’s Republic of China. [email protected] School of Automation and Electronic Information, Sichuan University of ...

Synchronization in Networks of Noisy Interneurons