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   Articles with "winfree model" as a keyword



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The Winfree model with non-infinitesimal phase-response curve: Ott-Antonsen theory.

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recommendations! Published in 2020 at "Chaos"

DOI: 10.1063/5.0015131

Abstract: A novel generalization of the Winfree model of globally coupled phase oscillators, representing phase reduction under finite coupling, is studied analytically. We consider interactions through a non-infinitesimal (or finite) phase-response curve (PRC), in contrast to… read more here.

Keywords: phase; winfree model; phase response; non infinitesimal ... See more keywords
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Comment on "The Winfree model with non-infinitesimal phase-response curve: Ott-Antonsen theory" [Chaos 30, 073139 (2020)].

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recommendations! Published in 2021 at "Chaos"

DOI: 10.1063/5.0036357

Abstract: In a recent paper [Chaos 30, 073139 (2020)], we analyzed an extension of the Winfree model with nonlinear interactions. The nonlinear coupling function Q was mistakenly identified with the non-infinitesimal phase-response curve (PRC). Here, we… read more here.

Keywords: winfree model; phase response; 073139 2020; non infinitesimal ... See more keywords
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The Winfree model with heterogeneous phase-response curves: analytical results

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recommendations! Published in 2019 at "Journal of Physics A: Mathematical and Theoretical"

DOI: 10.1088/1751-8121/ab0b4c

Abstract: We study an extension of the Winfree model of coupled phase oscillators in which both natural frequencies and phase-response curves (PRCs) are heterogeneous. In the first part of the paper we resort to averaging and… read more here.

Keywords: phase; winfree model; phase response; model ... See more keywords
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Synchronization scenarios in the Winfree model of coupled oscillators.

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recommendations! Published in 2017 at "Physical Review E"

DOI: 10.1103/physreve.96.042208

Abstract: Fifty years ago Arthur Winfree proposed a deeply influential mean-field model for the collective synchronization of large populations of phase oscillators. Here we provide a detailed analysis of the model for some special, analytically tractable… read more here.

Keywords: winfree model; synchronization scenarios; scenarios winfree; model ... See more keywords