CONTROLLING UNSTABLE PERIODIC-ORBITS BY A DELAYED CONTINUOUS FEEDBACK

Authors
BIELAWSKI S DEROZIER D GLORIEUX P
Citation
S. Bielawski et al., CONTROLLING UNSTABLE PERIODIC-ORBITS BY A DELAYED CONTINUOUS FEEDBACK, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 49(2), 1994, pp. 180000971-180000974
Citations number
18
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
49
Issue
2
Year of publication
1994
Pages
180000971 - 180000974
Database
ISI
SICI code
1063-651X(1994)49:2<180000971:CUPBAD>2.0.ZU;2-N
Abstract
A method is presented for stabilizing unstable periodic orbits of a dy namical system by applying continuous feedback on a control parameter. The feedback signal is proportional to the difference between two val ues of a dynamical variable, separated by a time equal to the unstable orbit periodicity. This method has been checked numerically and exper imentally on the control of the unstable orbits of a CO2 laser with mo dulated losses.