title: Controlling synchronous patterns in complex networks.
abstract: Although the set of permutation symmetries of a complex network could be very large, few of them give rise to stable synchronous patterns. Here we present a general framework and develop techniques for controlling synchronization patterns in complex network of coupled chaotic oscillators. Specifically, according to the network permutation symmetry, we design a small-size and weighted network, namely the control network, and use it to control the large-size complex network by means of pinning coupling. We argue mathematically that for any of the network symmetries, there always exists a critical pinning strength beyond which the unstable synchronous pattern associated to this symmetry can be stabilized. The feasibility of the control method is verified by numerical simulations of both artificial and real-world networks and demonstrated experimentally in systems of coupled chaotic circuits. Our studies show the controllability of synchronous patterns in complex networks of coupled chaotic oscillators.
authors.affiliation: Department of Physics, Zhejiang University, Hangzhou 310027, China.|School of Physics and Information Technology, Shaanxi Normal University, Xi'an 710062, China.
authors.forename: Weijie
authors.initials: W
authors.lastname: Lin
authors.affiliation: School of Physics and Information Technology, Shaanxi Normal University, Xi'an 710062, China.
authors.forename: Huawei
authors.initials: H
authors.lastname: Fan
authors.affiliation: School of Physics and Information Technology, Shaanxi Normal University, Xi'an 710062, China.
authors.forename: Ying
authors.initials: Y
authors.lastname: Wang
authors.affiliation: Department of Physics, Zhejiang University, Hangzhou 310027, China.
authors.forename: Heping
authors.initials: H
authors.lastname: Ying
authors.affiliation: School of Physics and Information Technology, Shaanxi Normal University, Xi'an 710062, China.|Institute of Theoretical & Computational Physics, Shaanxi Normal University, Xi'an 710062, China.
authors.forename: Xingang
authors.initials: X
authors.lastname: Wang