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• W2973614473 abstract "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." @default.
• W2973614473 created "2019-09-26" @default.
• W2973614473 creator A5044438667 @default.
• W2973614473 creator A5068491601 @default.
• W2973614473 date "2019-12-26" @default.
• W2973614473 modified "2023-09-27" @default.
• W2973614473 title "Low-dimensional dynamics for higher-order harmonic, globally coupled phase-oscillator ensembles" @default.
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• W2973614473 doi "https://doi.org/10.1103/physreve.100.062210" @default.
• W2973614473 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/31962527" @default.
• W2973614473 hasPublicationYear "2019" @default.
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