Predicting the synchronization time in coupled-map networks

Phys Rev E Stat Nonlin Soft Matter Phys. 2008 May;77(5 Pt 2):056205. doi: 10.1103/PhysRevE.77.056205. Epub 2008 May 9.

Abstract

An analytical expression for the synchronization time in coupled-map networks is given. By means of the expression, the synchronization time for any given network can be predicted accurately. Furthermore, for networks in which the distributions of nontrivial eigenvalues of coupling matrices have some unique characteristics, analytical results for the minimal synchronization time are given.