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

Yan Dong () and Junwei Chen ()
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Yan Dong: Department of Mathematics, Shanghai Maritime University, Shanghai 201306, P. R. China
Junwei Chen: School of Mechanical Engineering, Shanghai Jiao Tong University, Shanghai 200240, P. R. China

International Journal of Modern Physics C (IJMPC), 2015, vol. 26, issue 08, 1-13

Abstract: 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.

Keywords: Finite-time outer synchronization; dynamical networks; Lyapunov function; on–off coupling (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1142/S0129183115500953

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