Document Detail

Controlling chaos faster.
MedLine Citation:
PMID:  25273218     Owner:  NLM     Status:  In-Data-Review    
Predictive feedback control is an easy-to-implement method to stabilize unknown unstable periodic orbits in chaotic dynamical systems. Predictive feedback control is severely limited because asymptotic convergence speed decreases with stronger instabilities which in turn are typical for larger target periods, rendering it harder to effectively stabilize periodic orbits of large period. Here, we study stalled chaos control, where the application of control is stalled to make use of the chaotic, uncontrolled dynamics, and introduce an adaptation paradigm to overcome this limitation and speed up convergence. This modified control scheme is not only capable of stabilizing more periodic orbits than the original predictive feedback control but also speeds up convergence for typical chaotic maps, as illustrated in both theory and application. The proposed adaptation scheme provides a way to tune parameters online, yielding a broadly applicable, fast chaos control that converges reliably, even for periodic orbits of large period.
Christian Bick; Christoph Kolodziejski; Marc Timme
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Publication Detail:
Type:  Journal Article    
Journal Detail:
Title:  Chaos (Woodbury, N.Y.)     Volume:  24     ISSN:  1089-7682     ISO Abbreviation:  Chaos     Publication Date:  2014 Sep 
Date Detail:
Created Date:  2014-10-02     Completed Date:  -     Revised Date:  -    
Medline Journal Info:
Nlm Unique ID:  100971574     Medline TA:  Chaos     Country:  United States    
Other Details:
Languages:  eng     Pagination:  033138     Citation Subset:  IM    
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