Piecewise Linear Dynamical System Modeling Gene Network with Variable Feedback

V. P. Golubyatnikov, M. V. Kazantsev

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)46-54
Number of pages9
JournalJournal of Mathematical Sciences (United States)
Volume230
Issue number1
DOIs
Publication statusPublished - 1 Apr 2018

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