Affordable Access

Delayed feedback control of dynamical systems at a subcritical Hopf bifurcation.

Authors
  • Pyragas, K
  • Pyragas, V
  • Benner, H
Type
Published Article
Journal
Physical Review E
Publisher
American Physical Society (APS)
Publication Date
Nov 01, 2004
Volume
70
Issue
5 Pt 2
Pages
56222–56222
Identifiers
PMID: 15600743
Source
Medline
License
Unknown

Abstract

We consider the delayed feedback control of a torsion-free unstable periodic orbit originated in a dynamical system at a subcritical Hopf bifurcation. Close to the bifurcation point the problem is treated analytically using the method of averaging. We discuss the necessity of employing an unstable degree of freedom in the feedback loop as well as a nonlinear coupling between the controlled system and controller. To demonstrate our analytical approach the specific example of a nonlinear electronic circuit is taken as a model of a subcritical Hopf bifurcation.

Report this publication

Statistics

Seen <100 times