Injection locking near a stochastic bifurcation: the dc SQUID as a case study

A.r Bulsara, J.a Acebrón, W.-J Rappel, A Hibbs, L Kunstmanas and M Krupka

Physica A: Statistical Mechanics and its Applications, 2003, vol. 325, issue 1, 220-229

Abstract: We examine the response of a 2D nonlinear oscillator (exemplified in this work by the two-junction superconducting quantum interference device - SQUID) subject to a weak time-periodic target signal, just past the onset of a saddle-node bifurcation. Adjusting the control parameters of the device allows us to identify a regime wherein the response (characterized by an output signal-to-noise ratio at the target frequency) is maximal. The phenomenon has the flavor of the well-studied stochastic resonance effect but is, in fact, shown to arise from a nonlinear deterministic resonance in the “running solution” regime. Our results are presented in the context of experimental results.

Keywords: Stochastic bifurcation; Resonance; Signal amplification (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:325:y:2003:i:1:p:220-229

DOI: 10.1016/S0378-4371(03)00201-2

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