Delayed feedback control of periodic orbits in autonomous systems
chao-dyn
2009-10-31 v1 Chaotic Dynamics
Abstract
For controlling periodic orbits with delayed feedback methods the periodicity has to be known a priori. We propose a simple scheme, how to detect the period of orbits from properties of the control signal, at least if a periodic but nonvanishing signal is observed. We analytically derive a simple expression relating the delay, the control amplitude, and the unknown period. Thus, the latter can be computed from experimentally accessible quantities. Our findings are confirmed by numerical simulations and electronic circuit experiments
Cite
@article{arxiv.chao-dyn/9808007,
title = {Delayed feedback control of periodic orbits in autonomous systems},
author = {Wolfram Just and Dirk Reckwerth and Johannes Möckel and Ekkehard Reibold and Hartmut Benner},
journal= {arXiv preprint arXiv:chao-dyn/9808007},
year = {2009}
}
Comments
4 pages, Revtex, manuscript also available at ftp://athene.fkp.physik.th-darmstadt.de/pub/publications/wolfram/prl_98a/ or at http://athene.fkp.physik.th-darmstadt.de/public/wolfram_publ.html