Matrix-measure criterion for synchronization in coupled-map networks

Phys Rev E Stat Nonlin Soft Matter Phys. 2009 Jun;79(6 Pt 2):067102. doi: 10.1103/PhysRevE.79.067102. Epub 2009 Jun 8.

Abstract

We present conditions for the local and global synchronization in coupled-map networks using the matrix measure approach. In contrast to many existing synchronization conditions, the proposed synchronization criteria do not depend on the solution of the synchronous state and give less limitation on the network connections. Numerical simulations of the coupled quadratic maps demonstrate the potentials of our main results.