General scaling of maximum degree of synchronization in noisy complex networks

Autor(es)

Traxl, Dominik ^{[1, 2, 3]} ; Boers, Niklas ^{[1, 3]} ; Kurths, Juergen ^{[1, 4, 3]}

Afiliação do(s) autor(es)

^[1] Humboldt Univ, Dept Phys, Berlin - Germany

^[2] Bernstein Ctr Computat Neurosci, Berlin - Germany

^[3] Potsdam Inst Climate Impact Res, Potsdam - Germany

^[4] Nizhnii Novgorod State Univ, Dept Control Theory, Nizhnii Novgorod 603950 - Russia

• Tipo de documento: Artigo Científico
• Fonte: NEW JOURNAL OF PHYSICS; v. 16, NOV 7 2014.
• Citações Web of Science: 6

Resumo

The effects of white noise and global coupling strength on the maximum degree of synchronization in complex networks are explored. We perform numerical simulations of generic oscillator models with both linear and non-linear coupling functions on a broad spectrum of network topologies. The oscillator models include the Fitzhugh-Nagumo model, the Izhikevich model and the Kuramoto phase oscillator model. The network topologies range from regular, random and highly modular networks to scale-free and small-world networks, with both directed and undirected edges. We then study the dependency of the maximum degree of synchronization on the global coupling strength and the noise intensity. We find a general scaling of the synchronizability, and quantify its validity by fitting a regression model to the numerical data. (AU)

• Processo FAPESP: 11/50151-0 - Fenômenos dinâmicos em redes complexas: fundamentos e aplicações
• Beneficiário: Elbert Einstein Nehrer Macau
• Linha de fomento: Auxílio à Pesquisa - Temático