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American Physical Society, Physical review E: Statistical, nonlinear, and soft matter physics, 5(61), p. 5149-5153

DOI: 10.1103/physreve.61.5149

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Adaptive estimation and control method for unstable periodic dynamics in spike trains

Journal article published in 2000 by David J. Christini ORCID, Daniel T. Kaplan
This paper was not found in any repository, but could be made available legally by the author.
This paper was not found in any repository, but could be made available legally by the author.

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Postprint: archiving allowed
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Abstract

Dynamical control of excitable biological systems is often complicated by the difficult and unreliable task of precontrol identification of unstable periodic orbits (UPO's). Here we show that, for both chaotic and nonchaotic systems, UPO's can be located, and their dynamics characterized, during control. Tracking of system nonstationarities emerges naturally from this approach. Such a method is potentially valuable for the control of spike trains of excitable biological systems, for which precontrol UPO identification is often impractical, and nonstationarities (natural or stimulation induced) are common.