Multistable remote synchronization in a star-like network of non-identical oscillators

Autor(es)

Lacerda, Juliana ^[1] ; Freitas, Celso ^[1] ; Macau, Elbert ^{[2, 1]}

Afiliação do(s) autor(es)

^[1] Natl Inst Space Res, Associated Lab Comp & Appl Math, INPE, BR-12243010 Sao Jose Dos Campos, SP - Brazil

^[2] Univ Fed Sao Paulo, BR-12247014 Sao Jose Dos Campos, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Applied Mathematical Modelling; v. 69, p. 453-465, MAY 2019.
• Citações Web of Science: 0

Resumo

In the context of networks of coupled oscillators, remote synchronization happens when phase difference between non-adjacent units become constant, even though there is no global phase-locking. We study such regime considering a star-like network of Stuart Landau oscillators. As previous works, our setup comprises peripheral nodes with different but close natural frequencies and the central node frequency detuned from them. The main contribution here is to numerically report multistability under intermediate coupling values: some initial condition yield remote synchronization, with quasi-periodic motion; while others do not converge to synchronized states. By using a Gaussian distribution to select the initial phases of the oscillators, we found that relatively small value of the standard deviation and absolute value of the mean of this distribution far from a specific range of values seem to favor remote synchronization in the multistability region. This phenomenon is extensively analyzed for both cases, considering a fixed coupling value. (C) 2019 Elsevier Inc. All rights reserved. (AU)

• Processo FAPESP: 15/50122-0 - Fenômenos dinâmicos em redes complexas: fundamentos e aplicações
• Beneficiário: Elbert Einstein Nehrer Macau
• Modalidade de apoio: Auxílio à Pesquisa - Temático