Adaptive estimation and control of unstable periodic dynamics in excitable biological systems

TL;DR

This paper presents a method for real-time identification and control of unstable periodic orbits in excitable biological systems, addressing challenges of nonstationarity and pre-control identification.

Contribution

It introduces a novel approach to locate and characterize UPOs during control, applicable to both chaotic and nonchaotic biological systems.

Findings

UPOs can be identified during control without prior knowledge.

The method tracks system nonstationarities naturally.

Applicable to chaotic and nonchaotic excitable systems.

Abstract

Dynamical control of excitable biological systems is often complicated by the difficult and unreliable task of pre-control identification of unstable periodic orbits (UPOs). Here we show that, for both chaotic and nonchaotic systems, UPOs 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 excitable biological systems, for which pre-control UPO identification is often impractical and nonstationarities (natural or stimulation-induced) are common.