Volume 6, Issue 3, August 1999, Pages 314 - 331
Viewing the Efficiency of Chaos Control
Authors
Philippe Chanfreau, Hannu Lyyjynen
Corresponding Author
Philippe Chanfreau
Received 19 January 1999, Revised 13 April 1999, Accepted 14 May 1999, Available Online 2 August 1999.
- DOI
- 10.2991/jnmp.1999.6.3.7How to use a DOI?
- Abstract
This paper aims to cast some new light on controlling chaos using the OGY- and the Zero-Spectral-Radius methods. In deriving those methods we use a generalized procedure differing from the usual ones. This procedure allows us to conveniently treat maps to be controlled bringing the orbit to both various saddles and to sources with both real and complex eigenvalues. We demonstrate the procedure and the subsequent control on a variety of maps. We evaluate the control by examining the basins of attraction of the relevant controlled systems graphically and in some cases analytically.
- Copyright
- © 2006, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - Philippe Chanfreau AU - Hannu Lyyjynen PY - 1999 DA - 1999/08/02 TI - Viewing the Efficiency of Chaos Control JO - Journal of Nonlinear Mathematical Physics SP - 314 EP - 331 VL - 6 IS - 3 SN - 1776-0852 UR - https://doi.org/10.2991/jnmp.1999.6.3.7 DO - 10.2991/jnmp.1999.6.3.7 ID - Chanfreau1999 ER -