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- W1809045891 abstract "Systems of dynamical elements exhibiting spontaneous rhythms are found in various fields of science and engineering, including physics, chemistry, biology, physiology, and mechanical and electrical engineering. Such dynamical elements are often modeled as nonlinear limit-cycle oscillators. In this article, we briefly review phase reduction theory, which is a simple and powerful method for analyzing the synchronization properties of limit-cycle oscillators exhibiting rhythmic dynamics. Through phase reduction theory, we can systematically simplify the nonlinear multi-dimensional differential equations describing a limit-cycle oscillator to a one-dimensional phase equation, which is much easier to analyze. Classical applications of this theory, i.e., the phase locking of an oscillator to a periodic external forcing and the mutual synchronization of interacting oscillators, are explained. Further, more recent applications of this theory to the synchronization of non-interacting oscillators induced by common noise and the dynamics of coupled oscillators on complex networks are discussed. We also comment on some recent advances in phase reduction theory for noise-driven oscillators and rhythmic spatiotemporal patterns." @default.
- W1809045891 created "2016-06-24" @default.
- W1809045891 creator A5059087659 @default.
- W1809045891 date "2015-10-20" @default.
- W1809045891 modified "2023-10-10" @default.
- W1809045891 title "Phase reduction approach to synchronisation of nonlinear oscillators" @default.
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- W1809045891 doi "https://doi.org/10.1080/00107514.2015.1094987" @default.
- W1809045891 hasPublicationYear "2015" @default.
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