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Emergence of chaotic cluster synchronization in heterogeneous networks

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Autor(es):
Corder, Rodrigo M. ; Bian, Zheng ; Pereira, Tiago ; Montalban, Antonio
Número total de Autores: 4
Tipo de documento: Artigo Científico
Fonte: Chaos; v. 33, n. 9, p. 8-pg., 2023-09-01.
Resumo

Many real-world complex systems rely on cluster synchronization to function properly. A cluster of nodes exhibits synchronous behavior, while others behave erratically. Predicting the emergence of these clusters and understanding the mechanism behind their structure and variation in response to a parameter change is a daunting task in networks that lack symmetry. We unravel the mechanism for the emergence of cluster synchronization in heterogeneous random networks. We develop heterogeneous mean-field approximation together with a self-consistent theory to determine the onset and stability of the cluster. Our analysis shows that cluster synchronization occurs in a wide variety of heterogeneous networks, node dynamics, and coupling functions. The results could lead to a new understanding of the dynamical behavior of networks ranging from neural to social. (AU)

Processo FAPESP: 13/07375-0 - CeMEAI - Centro de Ciências Matemáticas Aplicadas à Indústria
Beneficiário:Francisco Louzada Neto
Modalidade de apoio: Auxílio à Pesquisa - Centros de Pesquisa, Inovação e Difusão - CEPIDs
Processo FAPESP: 18/26107-0 - Dinâmica de redes heterogêneas complexas: técnicas de redução
Beneficiário:Zheng Bian
Modalidade de apoio: Bolsas no Brasil - Doutorado