https://doi.org/10.1140/epjp/s13360-025-07159-2
Regular Article
Effect of electromagnetic induction on the nonlinear excitation in the FitzHugh-Nagumo cardiac model through the cubic-quintic complex Ginzburg-Landau equation
1
Laboratory of Atomic, Molecular Physics and Biophysics, Department of Physics, Faculty of Science, P.O. Box 812, Yaounde, Cameroon
2
African Centre for Advanced Studies, P.O. Box 4477, Yaounde, Cameroon
3
Department of Mathematical and Physical Sciences, National Advanced School of Engineering of Yaounde, P.O. Box 8390, Yaounde, Cameroon
4
Complex Systems Research Group, Department of Physics and Astronomy, Private Bag 16, Palapye, Botswana
5
Laboratory of Mechanics, Department of Physics, Faculty of Science, P.O. Box 812, Yaounde, Cameroon
a
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Received:
27
August
2025
Accepted:
3
December
2025
Published online:
27
January
2026
Abstract
Electromagnetic induction is crucial for understanding the heart’s electrical and chemical dynamics and detecting functional abnormalities. In this study, we examine a modified FitzHugh-Nagumo (FHN) model incorporating standard diffusion and a feedback gain parameter. Through multiple-scale expansion, we derive a cubic-quintic complex Ginzburg-Landau (CQCGL) equation governing action potential dynamics, and we construct traveling wave solutions using a modified Hirota bilinear method (HBM). The feedback gain markedly affects action potentials: (i) On the left side, it reduces amplitude, period, and depolarization/repolarization duration before the transition region. (ii) On the right side, it produces a quasi-periodic structure at 
, favoring rhythm stabilization. Modulational instability (MI) analysis shows that values of 
below or above 0.64 destabilize the system. Numerical simulations closely match the analytical results, confirming the model’s validity. Biologically, these findings highlight electromagnetic induction as a key modulator of cardiac function, influencing action potentials through ion-channel regulation and gap junction coupling, and shaping arrhythmia dynamics.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
