Phase models and oscillators with time delayed coupling

DOI10.3934/dcds.2012.32.2653zbMath1252.34093OpenAlexW2321967311WikidataQ105584462 ScholiaQ105584462MaRDI QIDQ432610

Sue Ann Campbell, Ilya Kobelevskiy

Publication date: 4 July 2012

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2012.32.2653

zbMATH Keywords

coupled oscillatorssynchronizationphase-lockingdelay differential equationsphase models

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25) Stability theory of functional-differential equations (34K20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Cell biology (92C37) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Synchronization of solutions to ordinary differential equations (34D06)

Related Items (7)

A phase model with large time delayed coupling ⋮ Cluster solutions in networks of weakly coupled oscillators on a 2D square torus ⋮ Anticipated and zero-lag synchronization in motifs of delay-coupled systems ⋮ Hysteresis bifurcation and application to delayed Fitzhugh-Nagumo neural systems ⋮ Phase models and clustering in networks of oscillators with delayed coupling ⋮ Amplitude and phase dynamics in oscillators with distributed-delay coupling ⋮ Phase-locked solutions of a coupled pair of nonidentical oscillators

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