title: Locating unstable periodic orbits: when adaptation integrates into delayed feedback control.
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.
authors.affiliation: School of Mathematical Sciences, Centre for Computational Systems Biology, and Shanghai Key Laboratory for Contemporary Applied Mathematics, Fudan University, Shanghai 200433, China.
authors.forename: Wei
authors.initials: W
authors.lastname: Lin
authors.forename: Huanfei
authors.initials: H
authors.lastname: Ma
authors.forename: Jianfeng
authors.initials: J
authors.lastname: Feng
authors.forename: Guanrong
authors.initials: G
authors.lastname: Chen
mesh_terms: D005246:Feedback; D017711:Nonlinear Dynamics; D010507:Periodicity