Chaos in the inhomogeneously driven sine-Gordon equation

J. C. Eilbeck; P. S. Lomdahl; A. C. Newell

doi:10.1016/0375-9601(81)90599-5

Chaos in the inhomogeneously driven sine-Gordon equation

J. C. Eilbeck
, P. S. Lomdahl
, A. C. Newell

Mathematics

Research output: Contribution to journal › Article › peer-review

62 Scopus citations

Abstract

Some numerical studies are reported of solutions of the sine-Gordon equation with damping and a mixture of two types of driving force: a constant (dc) force and a spatially inhomogeneous force varying harmonically (ac) in time. For some ranges of parameters the excitation of kink-antikink pairs is chaotic.

Original language	English (US)
Pages (from-to)	1-4
Number of pages	4
Journal	Physics Letters A
Volume	87
Issue number	1-2
DOIs	https://doi.org/10.1016/0375-9601(81)90599-5
State	Published - Dec 21 1981

ASJC Scopus subject areas

General Physics and Astronomy

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title = "Chaos in the inhomogeneously driven sine-Gordon equation",

abstract = "Some numerical studies are reported of solutions of the sine-Gordon equation with damping and a mixture of two types of driving force: a constant (dc) force and a spatially inhomogeneous force varying harmonically (ac) in time. For some ranges of parameters the excitation of kink-antikink pairs is chaotic.",

author = "Eilbeck, \{J. C.\} and Lomdahl, \{P. S.\} and Newell, \{A. C.\}",

note = "Funding Information: in 1981, and two of us (JCE and ACN) are grateful to Professor Dr. H. Haken for his hospitality, and to Professor B.A. Huberman for interesting discussions. Further work was done while PSL was at Heriot-Watt University during a visit supported by the Danish Council for Scientific and Technical Research. One of us (JCE) is grateful for computational support from the SRC Interactive Computing Facility, and another (ACN) was supported by US Army Contract DAAG29-78-G-0059, ONR Contract N000l4-76-C-0867 and NSF Grant MC575-07548 AOl.",

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AU - Eilbeck, J. C.

AU - Lomdahl, P. S.

AU - Newell, A. C.

N1 - Funding Information: in 1981, and two of us (JCE and ACN) are grateful to Professor Dr. H. Haken for his hospitality, and to Professor B.A. Huberman for interesting discussions. Further work was done while PSL was at Heriot-Watt University during a visit supported by the Danish Council for Scientific and Technical Research. One of us (JCE) is grateful for computational support from the SRC Interactive Computing Facility, and another (ACN) was supported by US Army Contract DAAG29-78-G-0059, ONR Contract N000l4-76-C-0867 and NSF Grant MC575-07548 AOl.

PY - 1981/12/21

Y1 - 1981/12/21

N2 - Some numerical studies are reported of solutions of the sine-Gordon equation with damping and a mixture of two types of driving force: a constant (dc) force and a spatially inhomogeneous force varying harmonically (ac) in time. For some ranges of parameters the excitation of kink-antikink pairs is chaotic.

AB - Some numerical studies are reported of solutions of the sine-Gordon equation with damping and a mixture of two types of driving force: a constant (dc) force and a spatially inhomogeneous force varying harmonically (ac) in time. For some ranges of parameters the excitation of kink-antikink pairs is chaotic.

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Chaos in the inhomogeneously driven sine-Gordon equation

Abstract

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