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(Referência obtida automaticamente do Web of Science, por meio da informação sobre o financiamento pela FAPESP e o número do processo correspondente, incluída na publicação pelos autores.)

Low-dimensional dynamics for higher-order harmonic, globally coupled phase-oscillator ensembles

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Autor(es):
Gong, Chen Chris [1] ; Pikovsky, Arkady [2, 1]
Número total de Autores: 2
Afiliação do(s) autor(es):
[1] Univ Potsdam, Inst Phys & Astron, Karl Liebknecht Str 32, D-14476 Golm - Germany
[2] Nizhnii Novgorod State Univ, Dept Control Theory, Gagarin Ave 23, Nizhnii Novgorod 606950 - Russia
Número total de Afiliações: 2
Tipo de documento: Artigo Científico
Fonte: Physical Review E; v. 100, n. 6 DEC 26 2019.
Citações Web of Science: 0
Resumo

The Kuramoto model, despite its popularity as a mean-field theory for many synchronization phenomenon of oscillatory systems, is limited to a first-order harmonic coupling of phases. For higher-order coupling, there only exists a low-dimensional theory in the thermodynamic limit. In this paper, we extend the formulation used by Watanabe and Strogatz to obtain a low-dimensional description of a system of arbitrary size of identical oscillators coupled all-to-all via their higher-order modes. To demonstrate an application of the formulation, we use a second harmonic globally coupled model, with a mean-field equal to the square of the Kuramoto mean-field. This model is known to exhibit asymmetrical clustering in previous numerical studies. We try to explain the phenomenon of asymmetrical clustering using the analytical theory developed here, as well as discuss certain phenomena not observed at the level of first-order harmonic coupling. (AU)

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