Synchronization of coupled rotators: Josephson junction ladders and the locally coupled Kuramoto model

B. C. Daniels, S. T.M. Dissanayake, B. R. Trees

Research output: Contribution to journalArticlepeer-review

41 Scopus citations

Abstract

A study was performed on synchronization of coupled rotators. It was shown that the resistively shunted junction (RSJ) equations describing a ladder array of overdamped, critical-current disordered Josephson junctions that are current biased along the ring of the ladder can be mapped onto a Kuramoto model. It was found that including the effects of junction capacitance can lead to a discontinuous synchronization transition as the strength of the coupling between neighbouring junctions is smoothly varied.

Original languageEnglish (US)
Article number026216
Pages (from-to)262161-2621614
Number of pages2359454
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume67
Issue number2 2
StatePublished - Feb 1 2003
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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