Sidebranch structures of dendritic patterns in a coupled map lattice model

Hidetsugu Sakaguchi, Masako Ohtaki

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    8 Citations (Scopus)

    Abstract

    Dendrites with developed sidebranches are numerically studied with a coupled map lattice model. The competitive dynamics among sidebranches determines the shape of the envelope. The envelope has a parabolic shape near the tip of the dendrite and the envelope angle with respect to the main branch increases up to 45° finally. In an intermediate region, the envelope grows roughly in a power law, however, the exponent increases gradually as a function of the distance from the tip. The competitive dynamics among many branches is also observed in a unidirectional growth from a linear seed, and it is compared with the competitive dynamics of sidebranches.

    Original languageEnglish
    Pages (from-to)1723-1727
    Number of pages5
    Journaljournal of the physical society of japan
    Volume73
    Issue number7
    DOIs
    Publication statusPublished - Jul 1 2004

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    All Science Journal Classification (ASJC) codes

    • Physics and Astronomy(all)

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