Synchronization of a Josephson junction array in terms of global variables

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Author(s):	Vlasov, Vladimir ^[1] ; Pikovsky, Arkady ^[1] Total Authors: 2
Affiliation:	^[1] Univ Potsdam, Dept Phys & Astron, D-14476 Potsdam - Germany Total Affiliations: 1
Document type:	Journal article
Source:	Physical Review E; v. 88, n. 2 AUG 12 2013.
Web of Science Citations:	15
Abstract
We consider an array of Josephson junctions with a common LCR load. Application of the Watanabe-Strogatz approach {[}Physica D 74, 197 (1994)] allows us to formulate the dynamics of the array via the global variables only. For identical junctions this is a finite set of equations, analysis of which reveals the regions of bistability of the synchronous and asynchronous states. For disordered arrays with distributed parameters of the junctions, the problem is formulated as an integro-differential equation for the global variables; here stability of the asynchronous states and the properties of the transition synchrony-asynchrony are established numerically. (AU)

FAPESP's process:	11/50151-0 - Dynamical phenomena in complex networks: fundamentals and applications
Grantee:	Elbert Einstein Nehrer Macau
Support type:	Research Projects - Thematic Grants