Summary
International Technical Conference on Circuits/Systems, Computers and Communications
2008
Session Number:C5
Session:
Number:C5-3
Conversion of Stability Observed in Van der Pol Oscillator by Unstable Time-Delayed Controller
Hiroyuki Shirahama, Chol-Ung Choe, Kazuhiro Fukushima,
pp.-
Publication Date:2008/7/7
Online ISSN:2188-5079
Summary:
We have demonstrated that an unstable time-delayed controller can provide a tool to control the stability of Hopf bifurcation. The unstable time-delayed controller has used to stabilize an unstable periodic orbit operating in subcritical mode. By developing a new coupling method the unstable time-delayed system was improved to be applied for conversion of stability in Hopf bifurcation system. In this study, as an example, conversion of stability of Van der Pol oscillator has been confirmed both experimentally and numerically. The control method would control various oscillations of systems arising from Hopf bifurcation.