Work

Unveiling synchronization transitions in networks of coupled oscillators through persistent homology of local structures

Year: 2025

Type: article

Abstract: Synchronization phenomenon characterize the collective behavior of complex systems. In recent years, data-driven approaches have become relevant because they can identify and quantify synchronized activity. Here, we study networks of mutually coupled Kuramoto phase oscillators adopting the normalized persistent entropy, NPE, based on persistent homology, as a synchronization quantifier, focusing our analysis on zero-dimensional homology groups of closed and open triads. We show that, as the coupling intensity increases, the NPE identifies transitions from incoherent to synchronized states in networks with different structural connectivity. We also use the NPE to analyze experimental data of mutually coupled electronic oscillators with Rössler-type dynamics, and identify transitions toward synchronization as the coupling intensity increases. Our results show that the NPE is a practical tool to quantitatively identify changes in the dynamics of networks of coupled oscillators.

Source: Scientific Reports

DOI: 10.1038/s41598-025-27083-w

Authors: Álvaro Zabaleta-Ortega, Cristina Masoller, Lev Guzmán-Vargas

Institutions: Instituto Politécnico Nacional, Universitat Politècnica de Catalunya

Language: English

Topic: Nonlinear Dynamics and Pattern Formation

Subfield: Computer Networks and Communications

Field: Computer Science

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,690

Funders: Ministerio de Ciencia, Innovación y Universidades, Institució Catalana de Recerca i Estudis Avançats, Comisión de Operación y Fomento de Actividades Académicas, Instituto Politécnico Nacional, Agència de Gestió d'Ajuts Universitaris i de Recerca