SYNCHRONIZATION OF PHASE OSCILLATORS WITH COUPLING MEDIATED BY A DIFFUSING SUBSTANCE

Carlos Batista¹; Ricardo Viana²; José Danilo Szezech Jr.³; Antônio Batista³; Elbert Macau⁴

¹ Centro de Estudos do Mar, Universidade Federal do Paraná, Pontal do Paraná, Paraná,; ² Departamento de Física, Universidade Federal do Paraná, Curitiba, PR,; ³ Departamento de Matemática e Estatística, Universidade Estadual de Ponta Grossa, Ponta Grossa, PR,; ⁴ Laboratório de Computação Aplicada, Instituto Nacional de Pesquisas Espaciais, São José dos Campos,

doi:10.20906/CPS/NSC2016-0073

Resumo

We investigate the synchronization of pointlike phase oscillators ("cells") whose coupling is mediated by a chemical diffusing in the intercell medium. We consider how frequency synchronization is affected by the non-local fea- tures of the coupling prescription.

Palavras-chave: Synchronization in Nonlinear Systems,; Nonlinear Dynamics and Complex Systems,; Complex Networks.