8 citations · 39 across the 12 of their papers we have counts for
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Characteristics of the Invariant Measure of the Strange Attractor of the Bacteria Mathematical Model
V. Grytsay
The bacteria metabolic process of open nonlinear dissipative system far from equilibrium point is modeled using classical methods of synergetics. The invariant measure and its conv…
Structural Instability of a Biochemical Process
V. I. Grytsay
By the example of a mathematical model of a biochemical process, the structural instability of dynamical systems is studied by calculating the full spectrum of Lyapunov indices wit…
The structure of a chaos of strange attractors within a mathematical model of the metabolism of a cell
V. I. Grytsay, I. V. Musatenko
This work continues the study of the earlier constructed mathematical model of the metabolic process running in a cell. We will consider auto-oscillations arising on the level of e…
A mathematical model of the metabolic process of atherosclerosis
V. I. Grytsay
A mathematical model of the metabolic process of atherosclerosis is constructed.
Spectral Analysis and Invariant Measure in the Study of a Nonlinear Dynamics of the Metabolic Process in Cells
V. I Grytsay
The metabolic process in a cell is modeled with the use of the Fourier transformation. The histograms of the invariant measures of chaotic attractors are constructed. In particular…