Parameter dependence of homoclinic solutions in a single long Josephson junction

J.B. van den Berg, Stephanus A. van Gils, T.P.P. Visser

    Research output: Contribution to journalArticleAcademicpeer-review

    9 Citations (Scopus)

    Abstract

    For a model of the long Josephson junction one can calculate for which parameter values there exists a homoclinic solution (fluxon solution). These parameter values appear to lie on a spiral. We show that this is a consequence of the presence of a heteroclinic solution, which lies at the centre of the spiral.
    Original languageUndefined
    Article number10.1088/0951-7715/16/2/320
    Pages (from-to)707-717
    Number of pages11
    JournalNonlinearity
    Volume16
    Issue number2
    DOIs
    Publication statusPublished - 2003

    Keywords

    • METIS-211865
    • IR-68246
    • EWI-13979

    Cite this

    van den Berg, J.B. ; van Gils, Stephanus A. ; Visser, T.P.P. / Parameter dependence of homoclinic solutions in a single long Josephson junction. In: Nonlinearity. 2003 ; Vol. 16, No. 2. pp. 707-717.
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    abstract = "For a model of the long Josephson junction one can calculate for which parameter values there exists a homoclinic solution (fluxon solution). These parameter values appear to lie on a spiral. We show that this is a consequence of the presence of a heteroclinic solution, which lies at the centre of the spiral.",
    keywords = "METIS-211865, IR-68246, EWI-13979",
    author = "{van den Berg}, J.B. and {van Gils}, {Stephanus A.} and T.P.P. Visser",
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    van den Berg, JB, van Gils, SA & Visser, TPP 2003, 'Parameter dependence of homoclinic solutions in a single long Josephson junction', Nonlinearity, vol. 16, no. 2, 10.1088/0951-7715/16/2/320, pp. 707-717. https://doi.org/10.1088/0951-7715/16/2/320

    Parameter dependence of homoclinic solutions in a single long Josephson junction. / van den Berg, J.B.; van Gils, Stephanus A.; Visser, T.P.P.

    In: Nonlinearity, Vol. 16, No. 2, 10.1088/0951-7715/16/2/320, 2003, p. 707-717.

    Research output: Contribution to journalArticleAcademicpeer-review

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    T1 - Parameter dependence of homoclinic solutions in a single long Josephson junction

    AU - van den Berg, J.B.

    AU - van Gils, Stephanus A.

    AU - Visser, T.P.P.

    PY - 2003

    Y1 - 2003

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    AB - For a model of the long Josephson junction one can calculate for which parameter values there exists a homoclinic solution (fluxon solution). These parameter values appear to lie on a spiral. We show that this is a consequence of the presence of a heteroclinic solution, which lies at the centre of the spiral.

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    KW - IR-68246

    KW - EWI-13979

    U2 - 10.1088/0951-7715/16/2/320

    DO - 10.1088/0951-7715/16/2/320

    M3 - Article

    VL - 16

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    JO - Nonlinearity

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