title: Bifurcation behaviors of synchronized regions in logistic map networks with coupling delay.
abstract: Network synchronized regions play an extremely important role in network synchronization according to the master stability function framework. This paper focuses on network synchronous state stability via studying the effects of nodal dynamics, coupling delay, and coupling way on synchronized regions in Logistic map networks. Theoretical and numerical investigations show that (1) network synchronization is closely associated with its nodal dynamics. Particularly, the synchronized region bifurcation points through which the synchronized region switches from one type to another are in good agreement with those of the uncoupled node system, and chaotic nodal dynamics can greatly impede network synchronization. (2) The coupling delay generally impairs the synchronizability of Logistic map networks, which is also dominated by the parity of delay for some nodal parameters. (3) A simple nonlinear coupling facilitates network synchronization more than the linear one does. The results found in this paper will help to intensify our understanding for the synchronous state stability in discrete-time networks with coupling delay.
authors.affiliation: School of Mathematical Science, Huaqiao University, Quanzhou 362021, China.
authors.forename: Longkun
authors.initials: L
authors.lastname: Tang
authors.affiliation: School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China.
authors.forename: Xiaoqun
authors.initials: X
authors.lastname: Wu
authors.affiliation: LSC, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China.
authors.forename: Jinhu
authors.initials: J
authors.lastname: Lü
authors.affiliation: School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China.
authors.forename: Jun-An
authors.initials: JA
authors.lastname: Lu