Three discontinuity-induced bifurcations to destroy self-sustained oscillations in a superconducting resonator

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Abstract

Based on previous experimental and analytical studies, the nonsmooth dynamical model of a superconducting resonator is discussed. The device is a superconducting sensor whose key elements are a sensor probe attached to a conducting ring, around which flows an electric current. The ring is interrupted by a microbridge of a superconducting material, whose temperature can be altered to sensitively control the device’s conductivity. In certain conditions, novel self-sustaining power oscillations are observed, and can suddenly disappear. It was previously shown that this disappearance can be described by a periodic attractor undergoing a catastrophic sliding bifurcation. Here we reveal the sequence of bifurcations that leads up to this event, beginning with the change in stability of a fixed point that creates an attractor, and the birth of a saddle-type periodic orbit by means of a Hopf-like discontinuity-induced bifurcation.
Original languageEnglish
Pages (from-to)2077-2082
Number of pages6
JournalPhysica D: Nonlinear Phenomena
Volume241
Issue number22
DOIs
Publication statusPublished - Nov 2012

Keywords

  • Filippov
  • bifurcation
  • sliding
  • superconducting
  • catastrophic
  • discontinuity

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