Synchronization and spatiotemporal patterns in coupled phase oscillators on a weighted planar network

Yuki Kagawa, Atsuko Takamatsu

    Research output: Contribution to journalArticle

    7 Citations (Scopus)

    Abstract

    To reveal the relation between network structures found in two-dimensional biological systems, such as protoplasmic tube networks in the plasmodium of true slime mold, and spatiotemporal oscillation patterns emerged on the networks, we constructed coupled phase oscillators on weighted planar networks and investigated their dynamics. Results showed that the distribution of edge weights in the networks strongly affects (i) the propensity for global synchronization and (ii) emerging ratios of oscillation patterns, such as traveling and concentric waves, even if the total weight is fixed. In-phase locking, traveling wave, and concentric wave patterns were, respectively, observed most frequently in uniformly weighted, center weighted treelike, and periphery weighted ring-shaped networks. Controlling the global spatiotemporal patterns with the weight distribution given by the local weighting (coupling) rules might be useful in biological network systems including the plasmodial networks and neural networks in the brain.

    Original languageEnglish
    Article number046216
    JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
    Volume79
    Issue number4
    DOIs
    Publication statusPublished - 2009 Apr 1

    Fingerprint

    Spatio-temporal Patterns
    synchronism
    Synchronization
    oscillators
    Concentric
    Oscillation
    traveling waves
    Global Synchronization
    Phase Locking
    Weight Distribution
    Biological Networks
    Two-dimensional Systems
    Biological Systems
    Network Structure
    Traveling Wave
    Weighting
    Tube
    oscillations
    Neural Networks
    Ring

    ASJC Scopus subject areas

    • Condensed Matter Physics
    • Statistical and Nonlinear Physics
    • Statistics and Probability

    Cite this

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