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Feedback Stabilization Applied to Heart Rhythm Dynamics Using an Integro-Differential Method

Author

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  • Asher Yahalom

    (Department of Electrical & Electronic Engineering, Faculty of Engineering, Ariel University, Ariel 40700, Israel
    Center for Astrophysics, Geophysics, and Space Sciences (AGASS), Ariel University, Ariel 40700, Israel)

  • Natalia Puzanov

    (Department of Electrical & Electronic Engineering, Faculty of Engineering, Ariel University, Ariel 40700, Israel)

Abstract

In this paper, we applied a chaos control method based on integro-differential equations for stabilization of an unstable cardiac rhythm, which is described by a variation of the modified Van der Pol equation. Chaos control with this method may be useful for stabilization of irregular heartbeat using a small perturbation. This method differs from other stabilization strategies by the absence of adjustable parameters and the lack of rough approximations in determining control functions whose control parameters are fixed by the properties of the unstable system itself.

Suggested Citation

  • Asher Yahalom & Natalia Puzanov, 2024. "Feedback Stabilization Applied to Heart Rhythm Dynamics Using an Integro-Differential Method," Mathematics, MDPI, vol. 12(1), pages 1-14, January.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:1:p:158-:d:1312695
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    References listed on IDEAS

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    1. Grudziński, Krzysztof & Żebrowski, Jan J, 2004. "Modeling cardiac pacemakers with relaxation oscillators," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 336(1), pages 153-162.
    2. Ferreira, Bianca Borem & de Paula, Aline Souza & Savi, Marcelo Amorim, 2011. "Chaos control applied to heart rhythm dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 44(8), pages 587-599.
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    Keywords

    chaos control; cardiac rhythm;

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