Oscillatory phase transition and pulse propagation in noisy integrate-and-fire neurons

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    7 Citations (Scopus)

    Abstract

    We study nonlocally coupled noisy integrate-and-fire neurons with the Fokker-Planck equation. A propagating pulse state and a wavy state appear as a phase transition from an asynchronous state. We also find a solution in which traveling pulses are emitted periodically from a pacemaker region.

    Original languageEnglish
    Number of pages1
    JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
    Volume70
    Issue number2
    DOIs
    Publication statusPublished - Jan 1 2004

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    neurons
    Neuron
    Phase Transition
    Integrate
    Propagation
    propagation
    Fokker-Planck equation
    Fokker-Planck Equation
    pulses

    All Science Journal Classification (ASJC) codes

    • Statistical and Nonlinear Physics
    • Mathematical Physics
    • Condensed Matter Physics
    • Physics and Astronomy(all)

    Cite this

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    abstract = "We study nonlocally coupled noisy integrate-and-fire neurons with the Fokker-Planck equation. A propagating pulse state and a wavy state appear as a phase transition from an asynchronous state. We also find a solution in which traveling pulses are emitted periodically from a pacemaker region.",
    author = "Hidetsugu Sakaguchi",
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