Cooperative dynamics in coupled noisy dynamical systems near a critical point: The dc superconducting quantum interference device as a case study

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Antonio Palacios,¹ John Aven,¹ Patrick Longhini,² Visarath In,² and Adi R. Bulsara²
¹Nonlinear Dynamical Systems Group, Department of Mathematics & Statistics, San Diego State University, San Diego, California 92182, USA
²Space and Naval Warfare Systems Center, Code 2373, 53560 Hull Street, San Diego, California 92152-5001, USA

Received 5 May 2006; published 22 August 2006

Dynamicalsystems that operate near the onset of coupling-induced oscillations canexhibit enhanced sensitivity to external perturbations under suitable operating parameters.This cooperative behavior and the attendant enhancement in the systemresponse (quantified here via a signal-to-noise ratio at the fundamentalof the coupling-induced oscillation frequency) are investigated in this work.As a prototype, we study an array of dc superconductingquantum interference device (SQUID) rings locally coupled, unidirectionally as wellas bidirectionally, in a ring configuration; it is well knownthat each individual SQUID can be biased through a saddle-nodebifurcation to oscillatory behavior. We show that biasing the arraynear the bifurcation point of coupling-induced oscillations can lead toa significant performance enhancement.

URL:	http://link.aps.org/doi/10.1103/PhysRevE.74.021122
DOI:	10.1103/PhysRevE.74.021122
PACS:	02.50.Ey; 85.25.Dq 02.50.Ey Stochastic processes 85.25.Dq Superconducting quantum interference devices (SQUIDs) YEAR: 2006
KEYWORDS:	nonlinear dynamical systems, critical points, SQUIDs, oscillations

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