Predicting mutual entrainment of oscillators with experiment-based phase models

We show that mutual entrainment in interacting oscillators can be characterized using phase models that are developed from direct experiments with a single oscillator. The models are used to predict order-disorder transitions in populations and the dependence of order on system parameters; the descr...

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Bibliographic Details
Published inPhysical review letters Vol. 94; no. 24; p. 248301
Main Authors Kiss, István Z, Zhai, Yumei, Hudson, John L
Format Journal Article
LanguageEnglish
Published United States 24.06.2005
Subjects
Biological Clocks - physiology
Electrochemistry
Models, Biological
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Summary:We show that mutual entrainment in interacting oscillators can be characterized using phase models that are developed from direct experiments with a single oscillator. The models are used to predict order-disorder transitions in populations and the dependence of order on system parameters; the description is verified in independent experiments in sets of chemical oscillators. The experiment-based model properly describes in-phase and antiphase mutual entrainment with positive and negative interactions in small sets as well as dynamical clustering in populations of oscillators.
ISSN:0031-9007
DOI:10.1103/PhysRevLett.94.248301