Geodesic
Bifurcation catastrophes of an instant cardiac rhythm in multifractal dynamics model
Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika, no. 1 (2016), pp. 63-73

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In this paper we study the instantaneous heart rate jumps within multifractal model dynamics.
Keywords: instantaneous heart rate, multifractal dynamics model, instantaneous heart rate jumps.
Mots-clés : bifurcation catastrophes 
A. P. Ivanov; A. N. Kudinov; D. Yu. Lebedev; S. A. Mikheev; V. P. Tsvetkov; I. V. Tsvetkov. Bifurcation catastrophes of an instant cardiac rhythm in multifractal dynamics model. Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika, no. 1 (2016), pp. 63-73. http://geodesic.mathdoc.fr/item/VTPMK_2016_1_a4/
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     title = {Bifurcation catastrophes of an instant cardiac rhythm in multifractal dynamics model},
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[1] Kudinov A. N., Lebedev D. Yu., Tsvetkov V. P., Tsvetkov I. V., “Mathematical model of multifractal dynamics and analysis of heart rate”, Mathematical Modeling, 26:10 (2014), 127–136 (in Russian) | Zbl

[2] Ivanov A. P., Kudinov A. N., Lebedev D. Yu., Tsvetkov V. P., Tsvetkov I. V., “Analysis of instantaneous heart rate in the multifractal dynamics model based on Holter monitoring”, Mathematical Modeling, 27:4 (2015), 16–30 (in Russian)

[3] Kudinov A. N., Tsvetkov V. P., Tsvetkov I. V., “Catastrophes in the multifractal dynamics of socialeconomic systems”, Russian Journal of Mathematical Physics, 18:2 (2011), 149–155 | DOI | MR | Zbl

[4] Kudinov A. N., Lebedev D. Yu., Ryzikov V. N., Tsvetkov V. P., Tsvetkov I. V., Ivanov A. P., “Self-similarity of a scatterogramm of an instant cardiac rhythm”, Vestnik TvGU. Seriya: Prikladnaya Matematika [Herald of Tver State University. Series: Applied Mathematics], 2014, no. 3, 105–115 (in Russian)

[5] Kudinov A. N., Lebedev D. Yu., Ryzhikov V. N., Tsvetkov V. P., Tsvetkov I. V., Ivanov A. P., “Self-similarity and fractal dimension of scatterogram of instant heart rate”, High Tech, 16:5 (2015), 57–63 (in Russian) | Zbl