ALGORITHMS FOR CONTROLLING CHAOTIC MOTION - APPLICATION FOR THE BVP OSCILLATOR

Citation
S. Rajasekar et M. Lakshmanan, ALGORITHMS FOR CONTROLLING CHAOTIC MOTION - APPLICATION FOR THE BVP OSCILLATOR, Physica. D, 67(1-3), 1993, pp. 282-300
Citations number
55
Categorie Soggetti
Mathematical Method, Physical Science",Physics,"Physycs, Mathematical
Journal title
ISSN journal
01672789
Volume
67
Issue
1-3
Year of publication
1993
Pages
282 - 300
Database
ISI
SICI code
0167-2789(1993)67:1-3<282:AFCCM->2.0.ZU;2-Q
Abstract
The BVP oscillator is a biologically and physically important dynamica l system exhibiting chaotic motion, phaselocking phenomenon and so on. In this paper we investigate the controlling of chaos in this system both when periodic and constant currents are present. We use the vario us control algorithms and investigate their effectiveness. In particul ar we study the controlling by the following mechanisms: (i) adaptive control algorithm; (ii) weak periodic perturbations; (iii) Ott-Grebogi -Yorke method; (iv) weak feedback control and (v) addition of noise. A lso, we show the suppression of chaos by numerical models.