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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.

Authors:
 [1];  [2];  [3]
  1. Theoretical Division and Center for Nonlinear Studies, Los Alamos (USA)
  2. Program in Applied Mathematics and Department of Mathematics, University of Arizona, Tucson, Arizona 85721 (USA)
  3. Dipartimento di Fisica Teorica, Universita di Salerno, I-84100 Salerno, (Italy)
Publication Date:
OSTI Identifier:
7162441
Resource Type:
Journal Article
Journal Name:
Physical Review (Section) A: General Physics; (USA)
Additional Journal Information:
Journal Volume: 40:11; Journal ID: ISSN 0556-2791
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; DYNAMICS; PHASE SPACE; ANTIPARTICLES; BOUND STATE; COORDINATES; NONLOCAL POTENTIAL; PARTICLES; SINE-GORDON EQUATION; ANTIMATTER; ELEMENTARY PARTICLES; EQUATIONS; FIELD EQUATIONS; MATHEMATICAL SPACE; MECHANICS; POTENTIALS; SPACE; 657000* - Theoretical & Mathematical Physics

Citation Formats

Bishop, A R, National Laboratory, Los Alamos, New Mexico 87545, McLaughlin, D W, and Salerno, M. Global coordinates for the breather-kink (antikink) sine-Gordon phase space: An explicit separatrix as a possible source of chaos. United States: N. p., 1989. Web. doi:10.1103/PhysRevA.40.6463.
Bishop, A R, National Laboratory, Los Alamos, New Mexico 87545, McLaughlin, D W, & Salerno, M. Global coordinates for the breather-kink (antikink) sine-Gordon phase space: An explicit separatrix as a possible source of chaos. United States. https://doi.org/10.1103/PhysRevA.40.6463
Bishop, A R, National Laboratory, Los Alamos, New Mexico 87545, McLaughlin, D W, and Salerno, M. Fri . "Global coordinates for the breather-kink (antikink) sine-Gordon phase space: An explicit separatrix as a possible source of chaos". United States. https://doi.org/10.1103/PhysRevA.40.6463.
@article{osti_7162441,
title = {Global coordinates for the breather-kink (antikink) sine-Gordon phase space: An explicit separatrix as a possible source of chaos},
author = {Bishop, A R and National Laboratory, Los Alamos, New Mexico 87545 and McLaughlin, D W and Salerno, M},
abstractNote = {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.},
doi = {10.1103/PhysRevA.40.6463},
url = {https://www.osti.gov/biblio/7162441}, journal = {Physical Review (Section) A: General Physics; (USA)},
issn = {0556-2791},
number = ,
volume = 40:11,
place = {United States},
year = {1989},
month = {12}
}