Characteristics of the Invariant Measure of the Strange Attractor of the Bacteria Mathematical Model

Authors

  • V. Grytsay Bogolyubov Institute for Theoretical Physics, Nat. Acad. of Sci. of Ukraine

DOI:

https://doi.org/10.15407/ujpe67.6.443

Keywords:

mathematical model, metabolic process, strange attractor, phase space, invariant measure, convergence

Abstract

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 convergence in the phase space of the system was obtained in strange attractor mode. The distribution of point density of trajectory intersection of phase space cells with maximum invariant measure and convergence in time of its average value was obtained. The result concluded is that the value of an invariant measure can be a characteristic of the transitional process of adaptation of cell metabolic process to change outside environment.

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Published

2022-10-27

How to Cite

Grytsay, V. (2022). Characteristics of the Invariant Measure of the Strange Attractor of the Bacteria Mathematical Model. Ukrainian Journal of Physics, 67(6), 443. https://doi.org/10.15407/ujpe67.6.443

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Section

General physics