Geodesic
Mathematical model of multi-fractal dynamics and analysis of heart rate
Matematičeskoe modelirovanie, Tome 26 (2014) no. 10, pp. 127-136

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On the basis of test data self-similar rate of curves of the instantaneous cardiac rhythm is shown. Within a model of multi-fractal dynamics received equations that describe the piecewise linear trend of instant heart rate. It is proposed classification of types of its dynamics as a function of the fractal dimension of $\mathrm{D}$ of the curve of heart rate on the basis of equations. In the field of values of $\mathrm{D}$ near bifurcation points of $\mathrm{D}_b$ is the bifurcation phenomena having jumps of speed of a piecewise linear trend of instant heart rate.
Keywords: multi-fractal dynamics, instant heart rate, self-similarity
Mots-clés : bifurcation point, fractal dimension. 
@article{MM_2014_26_10_a9,
     author = {A. N. Kudinov and D. Y. Lebedev and V. P. Tsvetkov and I. V. Tsvetkov},
     title = {Mathematical model of multi-fractal dynamics and analysis of heart rate},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {127--136},
     publisher = {mathdoc},
     volume = {26},
     number = {10},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2014_26_10_a9/}
}
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A. N. Kudinov; D. Y. Lebedev; V. P. Tsvetkov; I. V. Tsvetkov. Mathematical model of multi-fractal dynamics and analysis of heart rate. Matematičeskoe modelirovanie, Tome 26 (2014) no. 10, pp. 127-136. http://geodesic.mathdoc.fr/item/MM_2014_26_10_a9/