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Cardiac Alternans Suppression Under $T \pm ϵ$ $T \pm 𝜖$ Feedback Control: Nonlinear Dynamics Analysis

Electrical and Computer Systems Engineering Discipline and Advanced Engineering Platform, School of Engineering, Monash University, 47500 Bandar Sunway, Malaysia

E-mail Address: liang.shiuan-ni@monash.edu

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Duy-Manh Le

Institute of Theoretical and Applied Research, Duy Tan University, Hanoi 100000, Vietnam

E-mail Address: ldmanh02468@gmail.com

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Pik-Yin Lai

Department of Physics and Center for Complex Systems, National Central University, Chung-Li District, Taoyuan City, Taiwan 320, R.O.C.

E-mail Address: pylai@phy.ncu.edu.tw

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https://doi.org/10.1142/S0218127419300362Cited by:1 (Source: Crossref)

Abstract

The nonlinear dynamical properties of the recently proposed $T \pm ϵ$ $T \pm 𝜖$ feedback control for suppressing cardiac alternans is investigated in detail for the discrete cardiac restitution map model and the continuous Luo–Rudy I ionic model. It is shown that cardiac alternans, induced by fast pacing, can be dramatically reduced by small changes of fixed magnitude ( $ϵ$ $𝜖$ ) under feedback control when $ϵ$ $𝜖$ exceeds a critical threshold. Remarkably, the suppression is achieved by utilizing the induced chaotic dynamics. Detailed information on the nature and mechanism of the control, and properties of the attractors are analyzed and discussed in the light of nonlinear dynamics.

Keywords:

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