Effect of a refractory period on the entrainment of pulse-coupled integrate-and-fire oscillators

Vivien Kirk; Emily Stone

doi:10.1016/S0375-9601(97)00392-7

Effect of a refractory period on the entrainment of pulse-coupled integrate-and-fire oscillators

Vivien Kirk, Emily Stone

Mathematical Sciences

The University of Auckland

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

Abstract

It was shown by Mirollo and Strogatz [SIAM J. Appl. Math. 50 (1990) 1645] that a population of globally coupled, identical, integrate-and-fire oscillators will almost always become entrained. We find that the inclusion of a refractory period in the cycle of each oscillator can result in open sets of initial configurations evolving to asynchronous states.

Original language	English
Pages (from-to)	70-76
Number of pages	7
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	232
Issue number	1-2
DOIs	https://doi.org/10.1016/S0375-9601(97)00392-7
State	Published - Jul 21 1997

Keywords

Integrate-and-fire
Oscillators
Refractory
Synchronization

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10.1016/S0375-9601(97)00392-7

Cite this

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title = "Effect of a refractory period on the entrainment of pulse-coupled integrate-and-fire oscillators",

abstract = "It was shown by Mirollo and Strogatz [SIAM J. Appl. Math. 50 (1990) 1645] that a population of globally coupled, identical, integrate-and-fire oscillators will almost always become entrained. We find that the inclusion of a refractory period in the cycle of each oscillator can result in open sets of initial configurations evolving to asynchronous states.",

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AU - Stone, Emily

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Y1 - 1997/7/21

N2 - It was shown by Mirollo and Strogatz [SIAM J. Appl. Math. 50 (1990) 1645] that a population of globally coupled, identical, integrate-and-fire oscillators will almost always become entrained. We find that the inclusion of a refractory period in the cycle of each oscillator can result in open sets of initial configurations evolving to asynchronous states.

AB - It was shown by Mirollo and Strogatz [SIAM J. Appl. Math. 50 (1990) 1645] that a population of globally coupled, identical, integrate-and-fire oscillators will almost always become entrained. We find that the inclusion of a refractory period in the cycle of each oscillator can result in open sets of initial configurations evolving to asynchronous states.

KW - Integrate-and-fire

KW - Oscillators

KW - Refractory

KW - Synchronization

UR - https://www.scopus.com/pages/publications/0006968786

U2 - 10.1016/S0375-9601(97)00392-7

DO - 10.1016/S0375-9601(97)00392-7

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AN - SCOPUS:0006968786

SN - 0375-9601

VL - 232

SP - 70

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JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 1-2

ER -

Effect of a refractory period on the entrainment of pulse-coupled integrate-and-fire oscillators

Abstract

Keywords

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