Information measures and synchronization in complete networks

Abstract

The main purpose of this talk is to present information measures and synchronization of complete networks with local identical chaotic dynamical systems. The networks topologies are characterized by circulant matrices and the conditional Lyapunov exponents are explicitly determined. For different types of local dynamics, necessary and sufficient conditions for the occurrence of synchronization with or without the negativity of the conditional Lyapunov exponents are presented. Some properties of the mutual information rate and the Kolmogorov-Sinai entropy are established, depending on the topological entropy of the individual chaotic nodes and on the synchronization interval. Numerical studies are included.