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Zbl 1147.34336
Han, Xiuping; Lu, Jun-An; Wu, Xiaoqun
Synchronization of impulsively coupled systems. (English)
[J] Int. J. Bifurcation Chaos Appl. Sci. Eng. 18, No. 5, 1539-1549 (2008). ISSN 0218-1274

In the past years, impulsive control for a single system and impulsive synchronization between two systems have been extensively studied. However, investigation on impulsive control and synchronization of complex networks has just started. In these studies, a network is continuously coupled, and then is synchronized by using impulsive control strategy. In this paper, a new and different coupled model is proposed, where the systems are coupled only at discrete instants through impulsive connections. Several criteria for synchronizing such kind of impulsively coupled complex dynamical systems are established. Two examples are also worked through for illustrating the main results.

MSC 2000:: *34D05 Asymptotic stability of ODE
34A37 Differential equations with impulses
34C15 Nonlinear oscillations of solutions of ODE

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