Phase transition in globally coupled Rössler oscillators

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    26 Citations (Scopus)

    Abstract

    We study a population of identical Rössler oscillators with global coupling. When the coupling constant is increased, an order-disorder-type phase transition occurs. Partial phase synchronization occurs in the ordered phase, although the amplitude of the oscillation is randomly distributed. We analyze the phase transition with a self-consistent method.

    Original languageEnglish
    Pages (from-to)7212-7214
    Number of pages3
    JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
    Volume61
    Issue number6
    DOIs
    Publication statusPublished - Jan 1 2000

    Fingerprint

    Coupled Oscillators
    Phase Transition
    oscillators
    Phase Synchronization
    Disorder
    synchronism
    disorders
    Oscillation
    Partial
    oscillations

    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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    title = "Phase transition in globally coupled R{\"o}ssler oscillators",
    abstract = "We study a population of identical R{\"o}ssler oscillators with global coupling. When the coupling constant is increased, an order-disorder-type phase transition occurs. Partial phase synchronization occurs in the ordered phase, although the amplitude of the oscillation is randomly distributed. We analyze the phase transition with a self-consistent method.",
    author = "Hidetsugu Sakaguchi",
    year = "2000",
    month = "1",
    day = "1",
    doi = "10.1103/PhysRevE.61.7212",
    language = "English",
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    pages = "7212--7214",
    journal = "Physical Review E",
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    publisher = "American Physical Society",
    number = "6",

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    AB - We study a population of identical Rössler oscillators with global coupling. When the coupling constant is increased, an order-disorder-type phase transition occurs. Partial phase synchronization occurs in the ordered phase, although the amplitude of the oscillation is randomly distributed. We analyze the phase transition with a self-consistent method.

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