Outer synchronization between two complex dynamical networks with discontinuous coupling
Yongzheng Sun, Wang Li, Donghua Zhao · Chaos An Interdisciplinary Journal of Nonlinear Science · 2012
In this paper, we study the outer synchronization between two complex networks with discontinuous coupling. Sufficient conditions for complete outer synchronization and generalized outer synchronization are obtained based on the stability theory of differential equations. The theoretical results show that two networks can achieve outer synchronization even if two networks are switched off sometimes and the speed of synchronization is proportional to the on-off rate. Finally, numerical examples are examined to illustrate the effectiveness of the analytical results.