Spiral waves in a coupled network of sine-circle maps

Sung Jae Woo, Jysoo Lee, Kyoung J. Lee

    Research output: Contribution to journalArticlepeer-review

    2 Citations (Scopus)

    Abstract

    A coupled two-dimensional lattice of sine-circle maps is investigated numerically as a simple model for coupled network of nonlinear oscillators under a spatially uniform, temporally periodic, external forcing. Various patterns, including quasiperiodic spiral waves, periodic, banded spiral waves in several different polygonal shapes, and domain patterns, are observed. The banded spiral waves and domain patterns match well with the results of earlier experimental studies. Several transitions are analyzed. Among others, the source-sink transition of a quasiperiodic spiral wave and the cascade of “side-doubling” bifurcations of polygonal spiral waves are of great interest.

    Original languageEnglish
    Pages (from-to)4
    Number of pages1
    JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
    Volume68
    Issue number1
    DOIs
    Publication statusPublished - 2003

    ASJC Scopus subject areas

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

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