Synchronization of perturbed sine-Gordon soliton oscillators

Journal Article · Tue Feb 28 23:00:00 EST 1989 · Phys. Rev. B: Condens. Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.39.4804· OSTI ID:6452079

Cirillo, M; Bishop, A R; Lomdahl, P S

We investigate the dynamics of systems composed of perturbed sine-Gordon soliton oscillators coupled through the boundary conditions. The perturbations are a dc forcing term and linear dissipation. The oscillations maintain their indiviudal frequencies for low values of the coupling parameter. However, for particular values of this parameter, the reflections of the solitons at the boundary give rise to radiation exchange which allows spontaneous synchronization. We analyze our results in the light of recent experiments on long Josephson junction oscillators.

• Research Organization: Theoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory, University of California, Los Alamos, New Mexico 87545
• OSTI ID: 6452079
• Journal Information: Phys. Rev. B: Condens. Matter; (United States), Journal Name: Phys. Rev. B: Condens. Matter; (United States) Vol. 39:7; ISSN PRBMD
• Country of Publication: United States
• Language: English

Related Subjects

657000* -- Theoretical & Mathematical Physics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOUNDARY CONDITIONS
COUPLING
DISTURBANCES
ELECTRONIC EQUIPMENT
EQUATIONS
EQUIPMENT
FIELD EQUATIONS
JOSEPHSON JUNCTIONS
JUNCTIONS
OSCILLATORS
QUASI PARTICLES
SINE-GORDON EQUATION
SOLITONS
SPACE-TIME
SUPERCONDUCTING JUNCTIONS
SYNCHRONIZATION