On stability of cycles in some piecewise dynamical systems of mathematical biology
https://doi.org/10.25587/2411-9326-2025-1-4-14
Abstract
For a piecewise linear three-dimensional dynamical system of biochemical kinetics with three-steps righthand sides, we find conditions of existence of two stable cycles in the phase portrait. Toroidal neighborhoods of these cycles are constructed.
About the Authors
A. V. Glubokikh
Novosibirsk State University
Russian Federation
Russian Federation
Alina V. Glubokikh
1 Pirogov Street, Novosibirsk 630090
V. P. Golubyatnikov
Sobolev Institute of Mathematics
Russian Federation
Russian Federation
Vladimir P. Golubyatnikov
4 Koptyug Avenue, Novosibirsk 630090
E. P. Volokitin
Sobolev Institute of Mathematics
Russian Federation
Russian Federation
Evgenii P. Volokitin
4 Koptyug Avenue, Novosibirsk 630090
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Review
For citations:
Glubokikh A.V., Golubyatnikov V.P., Volokitin E.P. On stability of cycles in some piecewise dynamical systems of mathematical biology. Mathematical notes of NEFU. 2025;32(1):4-14. (In Russ.) https://doi.org/10.25587/2411-9326-2025-1-4-14
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