A detection method of symmetry restoration process of attractor merging crisis

T. Mizuguchi, M. Yomosa, N. Fujiwara, M. U. Kobayashi

    研究成果: Article査読

    抄録

    We propose a method to detect the approach to a specific unstable symmetric mediating solution, which characterises the symmetry restoration process close to a bifurcation point of an attractor merging crisis. This method captures a temporary restoration of the symmetry, and it does not require neither the exact parameter value of the bifurcation point nor the mediating solution. We study a forced XY model as an example and show that this method figures out the singularity caused by the approach from the asymmetric side of the crisis. An analysis of the repulsively coupled Stuart Landau system suggests the feasibility of this method even when the mediating solution is a symmetric torus.

    本文言語English
    論文番号230
    ジャーナルEuropean Physical Journal B
    85
    7
    DOI
    出版ステータスPublished - 2012 7

    ASJC Scopus subject areas

    • Electronic, Optical and Magnetic Materials
    • Condensed Matter Physics

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