The spark of synchronization in heterogeneous network

Author:

Antonio Montalban, Rodrigo M. Corder

Keyword:

Nonlinear Sciences, Adaptation and Self-Organizing Systems, Adaptation and Self-Organizing Systems (nlin.AO), Chaotic Dynamics (nlin.CD), Pattern Formation and Solitons (nlin.PS)

journal:

date:

2023-10-10 16:00:00

Abstract

We investigate the emergence of synchronization in chaotic maps in heterogeneous networks. Our findings reveal that a small cluster of highly connected maps is responsible for triggering the spark of synchronization. After the spark, the synchronized cluster grows in size and progressively moves to less connected maps, eventually reaching a cluster that may remain synchronized over time. We explore how the shape of the network's degree distribution affects the onset of synchronization and derive an expression based on the network's construction that determines the expected time for a network to synchronize. Numerical simulations in finite-sized networks are consistent with this analysis.

PDF: The spark of synchronization in heterogeneous network.pdf