On the concept of dynamical reduction: the case of coupled oscillators

DOI10.1098/rsta.2019.0041zbMath1462.34062arXiv1910.13775OpenAlexW2982273817WikidataQ90960557 ScholiaQ90960557MaRDI QIDQ4993451

Hiroya Nakao, Yoshiki Kuramoto

Publication date: 15 June 2021

Published in: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.13775

zbMATH Keywords

complexitysynchronizationmechanicsdynamical reductionapplied mathematicslimit-cycle oscillators

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Invariant manifold theory for dynamical systems (37D10) Research exposition (monographs, survey articles) pertaining to ordinary differential equations (34-02)

Related Items (8)

Collective oscillations in coupled-cell systems ⋮ Quantum asymptotic phases reveal signatures of quantum synchronization ⋮ Phase-locked solutions of a coupled pair of nonidentical oscillators ⋮ Phase-synchronization properties of laminar cylinder wake for periodic external forcings ⋮ Phase-based control of periodic flows ⋮ Collective in-plane magnetization in a two-dimensional XY macrospin system within the framework of generalized Ott–Antonsen theory ⋮ Sparse optimization of mutual synchronization in collectively oscillating networks ⋮ Linear response theory for coupled phase oscillators with general coupling functions

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