Design of Oscillator Networks with Enhanced Synchronization Tolerance against Noise

TL;DR

This paper explores how to rewire oscillator networks to significantly improve their synchronization robustness against noise, using advanced optimization techniques to identify optimal network structures.

Contribution

It introduces a stochastic optimization method to design oscillator networks with enhanced noise tolerance and identifies network architectures that maximize synchronization.

Findings

Synchronization improved by up to 40% with optimization

Optimized networks exhibit distinct structural properties

Statistical analysis of network ensembles reveals common features

Abstract

Can synchronization properties of a network of identical oscillators in the presence of noise be improved through appropriate rewiring of its connections? What are the optimal network architectures for a given total number of connections? We address these questions by running the optimization process, using the stochastic Markov Chain Monte Carlo method with replica exchange, to design the networks of phase oscillators with the increased tolerance against noise. As we find, the synchronization of a network, characterized by the Kuramoto order parameter, can be increased up to 40 %, as compared to that of the randomly generated networks, when the optimization is applied. Large ensembles of optimized networks are obtained and their statistical properties are investigated.