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

Authors :
Hajian, Dorsa Nezhad
Parastesh, Fatemeh
Rajagopal, Karthikeyan
Jafari, Sajad
Perc, Matjaž
Klemenčič, Eva
Source :
Proceedings of the Royal Society A: Mathematical, Physical & Engineering Sciences. Dec2023, Vol. 479 Issue 2280, p1-16. 16p.
Publication Year :
2023

Abstract

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
13645021
Volume :
479
Issue :
2280
Database :
Academic Search Index
Journal :
Proceedings of the Royal Society A: Mathematical, Physical & Engineering Sciences
Publication Type :
Academic Journal
Accession number :
174675776
Full Text :
https://doi.org/10.1098/rspa.2023.0730