On solutions to evolution equations defined by lattice operators

Takatoshi Ikegami, Daisuke Takahashi, Junta Matsukidaira

    Research output: Contribution to journalArticle

    1 Citation (Scopus)

    Abstract

    We discuss a specific form of evolution equations defined by lattice operators. We give exact solutions for a class of those equations and evaluate the complexity f the solutions. Moreover we discuss the relationship between them and binary cellular automata, and analyze their asymptotic behavior utilizing the explicit expression of the solution.

    Original languageEnglish
    Pages (from-to)211-230
    Number of pages20
    JournalJapan Journal of Industrial and Applied Mathematics
    Volume31
    Issue number1
    DOIs
    Publication statusPublished - 2014

    Fingerprint

    Cellular Automata
    Evolution Equation
    Exact Solution
    Asymptotic Behavior
    Binary
    Evaluate
    Cellular automata
    Operator
    Class
    Form
    Relationships

    Keywords

    • Cellular automaton
    • Integrable system
    • Lattice operator
    • Max-plus algebra
    • Ultradiscretization

    ASJC Scopus subject areas

    • Applied Mathematics
    • Engineering(all)

    Cite this

    On solutions to evolution equations defined by lattice operators. / Ikegami, Takatoshi; Takahashi, Daisuke; Matsukidaira, Junta.

    In: Japan Journal of Industrial and Applied Mathematics, Vol. 31, No. 1, 2014, p. 211-230.

    Research output: Contribution to journalArticle

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