On a hidden attractor of one asymmetric gene network model
https://doi.org/10.25587/2411-9326-2024-2-3-13
Abstract
We consider a model of simplest circular gene network regulated by one negative and two positive feedbacks. The model is represented in the form of 3-dimensional dynamical system with piecewise linear threshold righthand sides. In the phase portrait of this system, we describe a hidden attractor. Conditions of existence and uniqueness of a cycle of this system are established.
About the Authors
V. P. Golubyatnikov
Novosibirsk State University
Russian Federation
Russian Federation
Vladimir P. Golubyatnikov
1 Pirogov Street, 630090 Novosibirsk
E. A. Sitnyakovskaya
Novosibirsk State University
Russian Federation
Russian Federation
Elizaveta A. Sitnyakovskaya
1 Pirogov Street, 630090 Novosibirsk
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Review
For citations:
Golubyatnikov V.P., Sitnyakovskaya E.A. On a hidden attractor of one asymmetric gene network model. Mathematical notes of NEFU. 2024;31(2):3-13. (In Russ.) https://doi.org/10.25587/2411-9326-2024-2-3-13
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