Lin, Wei, Ma, Huanfei, Feng, Jianfeng and Chen, Guanrong. (2010) Locating unstable periodic orbits: when adaptation integrates into delayed feedback control. Physical Review E (Statistical, Nonlinear, and Soft Matter Physics), Vol.82 (No.4 Part 2). Article no. 046214. ISSN 1539-3755

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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.

Item Type:	Journal Article
Subjects:	Q Science > QC Physics
Divisions:	Faculty of Science > Centre for Scientific Computing Faculty of Science > Computer Science
Journal or Publication Title:	Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)
Publisher:	American Physical Society
ISSN:	1539-3755
Date:	19 October 2010
Volume:	Vol.82
Number:	No.4 Part 2
Number of Pages:	6
Page Range:	Article no. 046214
Identification Number:	10.1103/PhysRevE.82.046214
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Restricted or Subscription Access
Funder:	LMNS, NNSF of China, Engineering and Physical Sciences Research Council (EPSRC), EU
Grant number:	60874121, 10971035, 10832006
URI:	http://wrap.warwick.ac.uk/id/eprint/4960

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