We construct a discretization of the phase portrait of a 3-dimensional dynamical system of biochemical kinetics with piecewise linear right-hand sides. We describe geometry of the phase portrait and construct an invariant piecewise linear surface bounded by a stable cycle of this system composed of eight linear segments.
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Translated from Sibirskii Zhurnal Chistoi i Prikladnoi Matematiki 16, No. 4, 2016, pp. 28-37.
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Golubyatnikov, V.P., Kazantsev, M.V. Piecewise Linear Dynamical System Modeling Gene Network with Variable Feedback. J Math Sci 230, 46–54 (2018). https://doi.org/10.1007/s10958-018-3725-0
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DOI: https://doi.org/10.1007/s10958-018-3725-0