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

9 Scopus citations

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
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
Externally published	Yes

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@article{e1047acb83c1453eb324253e6daacae9,

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",

volume = "40",

pages = "6463--6469",

journal = "Physical Review A",

issn = "1050-2947",

publisher = "American Physical Society",

number = "11",

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T1 - Global coordinates for the breather-kink (antikink) sine-Gordon phase space

T2 - An explicit separatrix as a possible source of chaos

AU - Bishop, A. R.

AU - McLaughlin, D. W.

AU - Salerno, M.

PY - 1989

Y1 - 1989

N2 - 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.

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.

UR - https://www.scopus.com/pages/publications/0346886581

U2 - 10.1103/PhysRevA.40.6463

DO - 10.1103/PhysRevA.40.6463

M3 - Article

AN - SCOPUS:0346886581

SN - 1050-2947

VL - 40

SP - 6463

EP - 6469

JO - Physical Review A

JF - Physical Review A

IS - 11

ER -

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

Abstract

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