Adaptive synchronization of dynamics on evolving complex networks

TL;DR

This paper presents an adaptive strategy for synchronizing complex networks with slowly changing topologies, where nodes optimize a potential based on aggregate signals to maintain synchronization effectively.

Contribution

It introduces a novel adaptive synchronization method suitable for evolving networks with limited local information, ensuring effective tracking and maintenance of synchronization.

Findings

The strategy successfully tracks synchronization in dynamic networks.

Synchronization is achieved under specific conditions.

The method is effective despite limited local information.

Abstract

We study the problem of synchronizing a general complex network by means of an adaptive strategy in the case where the network topology is slowly time varying and every node receives at each time only one aggregate signal from the set of its neighbors. We introduce an appropriately defined potential that each node seeks to minimize in order to reach/maintain synchronization. We show that our strategy is effective in tracking synchronization as well as in achieving synchronization when appropriate conditions are met.