Locating unstable periodic orbits: when adaptation integrates into delayed feedback control.
Phys Rev E Stat Nonlin Soft Matter Phys
; 82(4 Pt 2): 046214, 2010 Oct.
Article
em En
| MEDLINE
| ID: mdl-21230372
ABSTRACT
Finding unstable periodic orbits (UPOs) is always a challenging demand in biophysics and computational biology, which needs efficient algorithms. To meet this need, an approach to locating unstable periodic orbits in chaotic dynamical system is presented. The uniqueness of the approach lies in the introduction of adaptive rules for both feedback gain and time delay in the system without requiring any information of the targeted UPO periods a priori. This approach is theoretically validated under some mild conditions and successfully tested with some practical strategies in several typical chaotic systems with or without significant time delays.
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Base de dados:
MEDLINE
Assunto principal:
Periodicidade
/
Dinâmica não Linear
/
Retroalimentação
Idioma:
En
Ano de publicação:
2010
Tipo de documento:
Article