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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 language | English |
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Pages (from-to) | 2077-2082 |
Number of pages | 6 |
Journal | Physica D: Nonlinear Phenomena |
Volume | 241 |
Issue number | 22 |
DOIs | |
Publication status | Published - Nov 2012 |
Research Groups and Themes
- Engineering Mathematics Research Group
Keywords
- Filippov
- bifurcation
- sliding
- superconducting
- catastrophic
- discontinuity
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Dive into the research topics of 'Three discontinuity-induced bifurcations to destroy self-sustained oscillations in a superconducting resonator'. Together they form a unique fingerprint.Projects
- 1 Finished
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When Worlds Collide: the asymptotics of interacting systems (Career Acceleration Fellowship)
Jeffrey, M. R. (Principal Investigator)
1/08/12 → 1/08/16
Project: Research