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    Boundary-Driven Delayed-Feedback Control of Spatiotemporal Dynamics in Excitable Media

    Sebastián Echeverría-Alar and Wouter-Jan Rappel

    Phys. Rev. Lett. 135, 267201 – Published 22 December, 2025

    DOI: https://doi.org/10.1103/vlnh-3xzf

    Abstract

    Scroll-wave instabilities in excitable domains are central to life-threatening arrhythmias, yet practical methods to stabilize these dynamics remain limited. Here, we investigate the effects of boundary layer heterogeneities in the spatiotemporal dynamics of a quasi-2D semidiscrete excitable model. We reveal that a novel boundary-driven mechanism suppresses meandering and chaotic spiral dynamics. We show how the strength of the heterogeneities mediates the emergence of this regulation through a pinning-unpinning-like transition. We derive a reduced 2D model and find that a decrease in bulk excitability and a boundary-driven delayed-feedback underlie the stabilization. Our results may point to alternative methods to control arrhythmias.

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