Synchronization Transitions in a Disordered Josephson Series Array

Kurt Wiesenfeld, Pere Colet, and Steven H. Strogatz
Phys. Rev. Lett. 76, 404 – Published 15 January 1996
PDFExport Citation

Abstract

We show that a current-biased series array of nonidentical Josephson junctions undergoes two transitions as a function of the spread of natural frequencies. One transition corresponds to the onset of partial synchronization, and the other corresponds to complete phase locking. In the limit of weak coupling and disorder, the system can be mapped onto an exactly solvable model introduced by Kuramoto and the transition points can be accurately predicted.

  • Received 28 July 1995

DOI:https://doi.org/10.1103/PhysRevLett.76.404

©1996 American Physical Society

Authors & Affiliations

Kurt Wiesenfeld

  • School of Physics, Georgia Institute of Technology, Atlanta, Georgia 30332

Pere Colet

  • Instituto de Estructura de la Materia, Consejo Superior de Investigaciones Científicas, Serrano 123, E-28006 Madrid, Spain

Steven H. Strogatz

  • Theoretical and Applied Mechanics, Kimball Hall, Cornell University, Ithaca, New York 14853

References (Subscription Required)

Click to Expand
Issue

Vol. 76, Iss. 3 — 15 January 1996

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review Letters

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×