Mathematical model of multi-fractal dynamics and analysis of heart rate

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.