Stable localized squares in pattern-forming nonequilibrium systems

Hidetsugu Sakaguchi, H. R. Brand

    Research output: Contribution to journalArticle

    36 Citations (Scopus)

    Abstract

    We show that stable localized solutions of square symmetry and a number of different sizes are possible in a model equation for pattern-forming nonequilibrium systems. We point out that these localized solutions, which are surrounded by a pattern-free state, exist for a range of values for the external stress parameter subcritically. We discuss briefly for which experimentally accessible systems such states could possibly be observable.

    Original languageEnglish
    Pages (from-to)341-346
    Number of pages6
    JournalEurophysics Letters
    Volume38
    Issue number5
    DOIs
    Publication statusPublished - May 10 1997

    Fingerprint

    symmetry

    All Science Journal Classification (ASJC) codes

    • Physics and Astronomy(all)

    Cite this

    Stable localized squares in pattern-forming nonequilibrium systems. / Sakaguchi, Hidetsugu; Brand, H. R.

    In: Europhysics Letters, Vol. 38, No. 5, 10.05.1997, p. 341-346.

    Research output: Contribution to journalArticle

    @article{c4a6211f0676486e914066cfbe0c5f0b,
    title = "Stable localized squares in pattern-forming nonequilibrium systems",
    abstract = "We show that stable localized solutions of square symmetry and a number of different sizes are possible in a model equation for pattern-forming nonequilibrium systems. We point out that these localized solutions, which are surrounded by a pattern-free state, exist for a range of values for the external stress parameter subcritically. We discuss briefly for which experimentally accessible systems such states could possibly be observable.",
    author = "Hidetsugu Sakaguchi and Brand, {H. R.}",
    year = "1997",
    month = "5",
    day = "10",
    doi = "10.1209/epl/i1997-00249-7",
    language = "English",
    volume = "38",
    pages = "341--346",
    journal = "Europhysics Letters",
    issn = "0295-5075",
    publisher = "IOP Publishing Ltd.",
    number = "5",

    }

    TY - JOUR

    T1 - Stable localized squares in pattern-forming nonequilibrium systems

    AU - Sakaguchi, Hidetsugu

    AU - Brand, H. R.

    PY - 1997/5/10

    Y1 - 1997/5/10

    N2 - We show that stable localized solutions of square symmetry and a number of different sizes are possible in a model equation for pattern-forming nonequilibrium systems. We point out that these localized solutions, which are surrounded by a pattern-free state, exist for a range of values for the external stress parameter subcritically. We discuss briefly for which experimentally accessible systems such states could possibly be observable.

    AB - We show that stable localized solutions of square symmetry and a number of different sizes are possible in a model equation for pattern-forming nonequilibrium systems. We point out that these localized solutions, which are surrounded by a pattern-free state, exist for a range of values for the external stress parameter subcritically. We discuss briefly for which experimentally accessible systems such states could possibly be observable.

    UR - http://www.scopus.com/inward/record.url?scp=0031562845&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=0031562845&partnerID=8YFLogxK

    U2 - 10.1209/epl/i1997-00249-7

    DO - 10.1209/epl/i1997-00249-7

    M3 - Article

    AN - SCOPUS:0031562845

    VL - 38

    SP - 341

    EP - 346

    JO - Europhysics Letters

    JF - Europhysics Letters

    SN - 0295-5075

    IS - 5

    ER -