Synchronization and Information Transmission in Spatio-Temporal Networks of Deformable Units

TL;DR

This paper investigates how synchronization relates to information exchange in a spatio-temporal network of particles under a specific potential, highlighting detection challenges for different synchronization types.

Contribution

It introduces methods to detect phase and complete synchronization in complex spatio-temporal networks with non-coherent dynamics.

Findings

Synchronization correlates with information transmission rate.

Phase synchronization detection is hindered by non-coherent particle dynamics.

Complete synchronization detection is complicated by initial state dependence.

Abstract

We study the relationship between synchronization and the rate with which information is exchanged between nodes in a spatio-temporal network that describes the dynamics of classical particles under a substrate Remoissenet-Peyrard potential. We also show how phase and complete synchronization can be detected in this network. The difficulty in detecting phase synchronization in such a network appears due to the highly non-coherent character of the particle dynamics which unables a proper definition of the phase dynamics. The difficulty in detecting complete synchronization appears due to the spatio character of the potential which results in an asymptotic state highly dependent on the initial state.