NDLI: Analytical approximations to the dynamics of an array of coupled DC SQUIDs

Content Provider	Springer Nature Link
Author	Berggren, Susan Palacios, Antonio
Copyright Year	2014
Abstract	Coupled dynamical systems that operate near the onset of a bifurcation can lead, under certain conditions, to strong signal amplification effects. Over the past years we have studied this generic feature on a wide range of systems, including: magnetic and electric fields sensors, gyroscopic devices, and arrays of loops of superconducting quantum interference devices, also known as SQUIDs. In this work, we consider an array of SQUID loops connected in series as a case study to derive asymptotic analytical approximations to the exact solutions through perturbation analysis. Two approaches are considered. First, a straightforward expansion in which the non-linear parameter related to the inductance of the DC SQUID is treated as the small perturbation parameter. Second, a more accurate procedure that considers the SQUID phase dynamics as non-uniform motion on a circle. This second procedure is readily extended to the series array and it could serve as a mathematical framework to find approximate solutions to related complex systems with high-dimensionality. To the best of our knowledge, an approximate analytical solutions to an array of SQUIDs has not been reported yet in the literature.
Starting Page	1
Ending Page	20
Page Count	20
File Format	PDF
ISSN	14346028
Journal	The European Physical Journal B
Volume Number	87
Issue Number	4
e-ISSN	14346036
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2014-04-07
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Statistical and Nonlinear Physics Condensed Matter Physics Physics Statistical Physics, Dynamical Systems and Complexity Fluid- and Aerodynamics Solid State Physics
Content Type	Text
Resource Type	Article
Subject	Electronic, Optical and Magnetic Materials Condensed Matter Physics

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