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Locating unstable periodic orbits: when adaptation integrates into delayed feedback control
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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. doi:10.1103/PhysRevE.82.046214 ISSN 1539-3755.
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Official URL: http://dx.doi.org/10.1103/PhysRevE.82.046214
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 | ||||
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Subjects: | Q Science > QC Physics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Centre for Scientific Computing Faculty of Science, Engineering and Medicine > Science > Computer Science |
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Journal or Publication Title: | Physical Review E (Statistical, Nonlinear, and Soft Matter Physics) | ||||
Publisher: | American Physical Society | ||||
ISSN: | 1539-3755 | ||||
Official Date: | 19 October 2010 | ||||
Dates: |
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Volume: | Vol.82 | ||||
Number: | No.4 Part 2 | ||||
Number of Pages: | 6 | ||||
Page Range: | Article no. 046214 | ||||
DOI: | 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 |
Data sourced from Thomson Reuters' Web of Knowledge
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