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

PHYSICA D-NONLINEAR PHENOMENA

卷:241

Article

Jeffrey, Mike R.

关键词: Filippov;    Bifurcation;    Sliding;    Superconducting;    Catastrophic;    Discontinuity;   

DOI  :  10.1016/j.physd.2011.05.008

来源: Elsevier

【 摘 要 】

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. (C) 2011 Elsevier B.V. All rights reserved.

【 授权许可】

Free