Phase synchronization in an array of driven Josephson junctions

Details Phase synchronization in an array of driven Josephson junctions Phase synchronization in an array of driven Josephson junctions

2008-05-22

arxiv.org/abs/0805.3421v1

Chaos 18, 013125 (2008)

Nonlinear Sciences

Chaotic Dynamics

13 pages, 6 figures, accepted for publication in "CHAOS"

Scientific paper

10.1063/1.2889167

We consider an array of N Josephson junctions connected in parallel and explore the condition for chaotic synchronization. It is found that the outer junctions can be synchronized while they remain uncorrelated to the inner ones when an external biasing is applied. The stability of the solution is found out for the outer junctions in the synchronization manifold. Symmetry considerations lead to a situation wherein the inner junctions can synchronize for certain values of parameter. In the presence of a phase difference between the applied fields, all the junctions exhibit phase synchronization. It is also found that chaotic motion changes to periodic in the presence of phase differences.

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