Parameter dependence of homoclinic solutions in a single long Josephson junction

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

doi:10.1088/0951-7715/16/2/320

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 journal › Article › Academic › peer-review

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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.

Original language	Undefined
Article number	10.1088/0951-7715/16/2/320
Pages (from-to)	707-717
Number of pages	11
Journal	Nonlinearity
Volume	16
Issue number	2
DOIs	https://doi.org/10.1088/0951-7715/16/2/320
Publication status	Published - 2003

Keywords

METIS-211865
IR-68246
EWI-13979

Access to Document

10.1088/0951-7715/16/2/320

http://eprints.eemcs.utwente.nl/secure2/13979/01/no3220.pdf

Cite this

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title = "Parameter dependence of homoclinic solutions in a single long Josephson junction",

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.",

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AU - van Gils, Stephanus A.

AU - Visser, T.P.P.

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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.

KW - METIS-211865

KW - IR-68246

KW - EWI-13979

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

M3 - Article

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