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Synchronization in coupled chaotic oscillators with a no-flux boundary condition
Wenyuan Liu1, Jinghua Xiao, Junzhong Yang
1School of Science, Beijing University of Posts and Telecommunications, 100088 Beijing, China.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|February 9, 2005
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.