Dynamical Properties of Some Coupled Map Networks with Applications to Multi-layer Center Networks

In this paper, the synchronization and stability of some coupled map networks (CMN) are studied. Via linear stability analysis method, the stability of the synchronized state of CMN is determined by the eigenvalues of a matrix A, and for the chaos Logistic map, the range of the coupling strength ¿ of CMN is given. These results are applied to a class of multi-layer center networks, and some specific results are induced. Finally, numerical simulations are presented to verify these results.