Global coordinates for the breather-kink (antikink) sine-Gordon phase space: An explicit separatrix as a possible source of chaos

A. R. Bishop; D. W. McLaughlin; M. Salerno

doi:10.1103/PhysRevA.40.6463

Global coordinates for the breather-kink (antikink) sine-Gordon phase space: An explicit separatrix as a possible source of chaos

A. R. Bishop, D. W. McLaughlin, M. Salerno

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

Abstract

In this paper we present global coordinates for the kink-antikink breather sine-Gordon phase space with a separatrix and singular points. Using these coordinates we derive reduced equations governing perturbed dynamics, and we use them in a Melnikov calculation to establish the presence of chaos in the reduced sine-Gordon system.

Original language	English (US)
Pages (from-to)	6463-6469
Number of pages	7
Journal	Physical Review A
Volume	40
Issue number	11
DOIs	https://doi.org/10.1103/PhysRevA.40.6463
State	Published - 1989

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics

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title = "Global coordinates for the breather-kink (antikink) sine-Gordon phase space: An explicit separatrix as a possible source of chaos",

abstract = "In this paper we present global coordinates for the kink-antikink breather sine-Gordon phase space with a separatrix and singular points. Using these coordinates we derive reduced equations governing perturbed dynamics, and we use them in a Melnikov calculation to establish the presence of chaos in the reduced sine-Gordon system.",

author = "Bishop, {A. R.} and McLaughlin, {D. W.} and M. Salerno",

year = "1989",

doi = "10.1103/PhysRevA.40.6463",

language = "English (US)",

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AB - In this paper we present global coordinates for the kink-antikink breather sine-Gordon phase space with a separatrix and singular points. Using these coordinates we derive reduced equations governing perturbed dynamics, and we use them in a Melnikov calculation to establish the presence of chaos in the reduced sine-Gordon system.

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Global coordinates for the breather-kink (antikink) sine-Gordon phase space: An explicit separatrix as a possible source of chaos

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