title: Synchronization in coupled chaotic oscillators with a no-flux boundary condition.
abstract: We investigate the synchronization of coupled chaotic oscillators with a no-flux boundary condition. We find that the spectrum of the coupling matrix is divided into two parts, the isolated part with a zero eigenvalue and the continuous one with the other N-1 eigenvalues falling onto a line. Based on the eigenvalue analysis, the stability of the synchronization in a coupled Lorenz system is explored thoroughly in the parameter space of the size of the system, the diffusion, and gradient coupling constants.
authors.affiliation: School of Science, Beijing University of Posts and Telecommunications, 100088 Beijing, China.
authors.forename: Wenyuan
authors.initials: W
authors.lastname: Liu
authors.forename: Jinghua
authors.initials: J
authors.lastname: Xiao
authors.forename: Junzhong
authors.initials: J
authors.lastname: Yang