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

Journal Article · Fri Dec 01 04:00:00 EST 1989 · Physical Review (Section) A: General Physics; (USA)

DOI:https://doi.org/10.1103/PhysRevA.40.6463· OSTI ID:7162441

Bishop, A R ^[1]; McLaughlin, D W ^[2]; Salerno, M ^[3]

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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)

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.

• OSTI ID: 7162441
• Journal Information: Physical Review (Section) A: General Physics; (USA), Journal Name: Physical Review (Section) A: General Physics; (USA) Vol. 40:11; ISSN PLRAA; ISSN 0556-2791
• Country of Publication: United States
• Language: English

Related Subjects

657000* -- Theoretical & Mathematical Physics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANTIMATTER
ANTIPARTICLES
BOUND STATE
COORDINATES
DYNAMICS
ELEMENTARY PARTICLES
EQUATIONS
FIELD EQUATIONS
MATHEMATICAL SPACE
MECHANICS
NONLOCAL POTENTIAL
PARTICLES
PHASE SPACE
POTENTIALS
SINE-GORDON EQUATION
SPACE