Splay states and two-cluster states in ensembles of excitable units

Autor(es)

Ronge, Robert ^[1] ; Zaks, Michael A. ^[1]

Afiliação do(s) autor(es)

^[1] Humboldt Univ, Inst Phys, D-12489 Berlin - Germany

• Tipo de documento: Artigo Científico
• Fonte: European Physical Journal-Special Topics; v. 230, n. 14-15, p. 2717-2724, OCT 2021.
• Citações Web of Science: 1

Resumo

Focusing on systems of sinusoidally coupled active rotators, we study the emergence and stability of periodic collective oscillations for systems of identical excitable units with repulsive all-to-all interaction. Special attention is put on splay states and two-cluster states. Recently, it has been shown that one-parameter families of such systems, containing the parameter values at which the Watanabe-Strogatz integrability takes place, feature an instantaneous non-local exchange of stability between splay and two-cluster states. Here, we illustrate how in the extended families that circumvent the Watanabe-Strogatz dynamics, this abrupt transition is replaced by the ``gradual transfer{''} of stability between the 2-cluster and the splay states, mediated by mixed-type solutions. We conclude our work by recovering the same kind of dynamics and transfer of stability in an ensemble of voltage-coupled Morris-Lecar neurons. (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