Dynamics and control of spiral waves under feedback derived from a moving measuring point

Gao, Yuan; Liu, Pengwei; Shi, Jian; Wang, Guangrui

doi:10.1016/j.chaos.2023.113220

Cited by 4 publications

(1 citation statement)

References 69 publications

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“…Consequently, several other strategies have been developed, such as electric pulse [20,21], field pacing [22] and recently polarized electric fields [23,24]. Optogenetic manipulation in extended models with photosensitive ion channels [25,26] and feedback-controlled forcing of spiral waves are cutting-edge methods employed to destabilize rotating tips [27]. Given the spatial arrangement of the medium, obstacles of proper size can lead spiral seeds to drift away from the heterogeneous site [28,29].…”

Section: Introductionmentioning

confidence: 99%

Chirality and curvature determine the meandering of spirals in multilayer excitable media

Nezhad Hajian,

Parastesh,

Rajagopal

et al. 2023

Proc. R. Soc. A.

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We study the emergence of meandering spiral waves in a multilayer structure where two spirals, originating independently, evolve in space–time. The FitzHugh-Nagumo model, enhanced with electromagnetic induction effects, defines the nodal dynamics. The layers are chemically coupled, and the drift of spirals is influenced by interlayer flux coupling. An external magnetic flux force is also necessary to destabilize and unpin spiral rotors. The effects of unique characteristics of spiral patterns, like chirality and tip curvature, are assessed. We find that spirals often drift within a bounded meandering area; however, determining the drift directions and overall meandering regions is complex. The forced spiral generally drifts a greater distance, except for identical co-rotating spirals, which drift synchronously. Spirals with opposite chirality exhibit asynchronous drift and wavefront asymmetry, even with identical tip curvature. Regardless of chirality, non-identical spirals are geometrically aligned and amplified before drifting. Stimulating the more loosely curved spiral ensures both spirals drift.

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