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 journalArticle

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 languageEnglish (US)
Pages (from-to)6463-6469
Number of pages7
JournalPhysical Review A
Volume40
Issue number11
DOIs
StatePublished - 1989

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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