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Positive invariant regions for a modified Van Der Pol equation modeling heart action

Author

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  • Acosta, A.
  • Gallo, R.
  • García, P.
  • Peluffo-Ordóñez, D.

Abstract

The dynamical characterization of the heart rate is definitely a problem of vital importance. The selection, construction and adjustment of models that reproduce the dynamic behavior of the cardiac muscle, brings us closer to the solution of the usual classification problem in medicine, i.e. decide whether or not a patient belongs to the healthy class of patients.

Suggested Citation

  • Acosta, A. & Gallo, R. & García, P. & Peluffo-Ordóñez, D., 2023. "Positive invariant regions for a modified Van Der Pol equation modeling heart action," Applied Mathematics and Computation, Elsevier, vol. 442(C).
    • Handle: RePEc:eee:apmaco:v:442:y:2023:i:c:s0096300322008001
    DOI: 10.1016/j.amc.2022.127732
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    References listed on IDEAS

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    1. dos Santos, Angela M. & Lopes, Sergio R. & Viana, R.L.Ricardo L., 2004. "Rhythm synchronization and chaotic modulation of coupled Van der Pol oscillators in a model for the heartbeat," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 338(3), pages 335-355.
    2. 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.
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    Cited by:

    1. Liqin Liu & Chunrui Zhang, 2023. "Multiple Hopf Bifurcations of Four Coupled van der Pol Oscillators with Delay," Mathematics, MDPI, vol. 11(23), pages 1-16, November.

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