TY  - JOUR
A1  - Vlasov, Vladimir
A1  - Pikovskij, Arkadij
T1  - Synchronization of a Josephson junction array in terms of global variables
T2  - Physical review : E, Statistical, nonlinear and soft matter physics
N2  - 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.
Y1  - 2013
UR  - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/34812
SN  - 1539-3755
VL  - 88
IS  - 2
PB  - American Physical Society
CY  - College Park
ER  -