The article is devoted to investigate the dynamics of behavior of functional-differential equation with delay of mathematical model of the regulatory mechanisms of cardiac activity and liver function in pathogenesis. Moreover, the results of the computational experiment for the quantitative analysis of the object state are presented. The behavior of the system in the zone of dynamic chaos was analyzed with the use of developed software.

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Nonlinear oscillations of single-mass system at force excitation of vibration connected with fixed base by weightless viscoelastic spring are considered. To take into account the rheological properties of the spring material, the Boltzmann-Volterr principle was used. Mathematical models of the problem in question are obtained, which are described by nonlinear integro-differential equations. A solution method based on the use of quadrature formulas has been developed and a computer program has been compiled on its basis, the results of which are reflected in the form of graphs. Influence of nonlinear and rheological properties of spring on amplitude and phase of mass oscillations is investigated.

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