title: Outer synchronization between two complex dynamical networks with discontinuous coupling.
abstract: 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.
authors.affiliation: School of Sciences, China University of Mining and Technology, Xuzhou 221008, People's Republic of China. yzsung@gmail.com
authors.forename: Yongzheng
authors.initials: Y
authors.lastname: Sun
authors.forename: Wang
authors.initials: W
authors.lastname: Li
authors.forename: Donghua
authors.initials: D
authors.lastname: Zhao