https://doi.org/10.1140/epjs/s11734-024-01303-2
Regular Article
Master–slave synchronization of electrocardiogram chaotic networks dealing with stochastic perturbance
1
Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, 600127, Chennai, Tamil Nadu, India
2
Research Center for Complex Systems, Aalen University, Aalen, Germany
3
Department of Mathematics, The Gandhigram Rural Institute (Deemed to be University) Gandhigram, 624 302, Dindigul, Tamil Nadu, India
a
rambu1995@gmail.com
c
balugru@gmail.com
Received:
12
May
2024
Accepted:
2
August
2024
Published online:
19
September
2024
This study investigates the master–slave synchronization criteria for four-dimensional electrocardiogram (ECG) chaotic networks, focusing on the interconnecting electrical potentials in the sinoatrial and atrioventricular nodes. The model encompasses electrocardiograms from healthy hearts and those with known rhythm abnormalities such as atrial flutter, ventricular tachycardia, and ventricular flutter. For the first time, a state feedback controller is employed to address the master–slave synchronization problem of stochastic ECG chaotic networks (SECCNs) for both pathological and non-pathological heartbeats. We establish a sufficient condition based on a quadratic Lyapunov-Krasovskii functional, ensuring synchronization of the SECCNs to the desired state. Furthermore, we provide a numerical simulation to illustrate the theoretical findings.
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© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2024. 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.
