On uniqueness and stability of a cycle in one gene network

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Abstract

We describe necessary and suffcient conditions for uniqueness and stability of a cycle in an invariant domain of phase portrait of one Glass-Pasternack type block-linear dynamical system that simulates functioning of one natural gene network. Existence of such a cycle, geometry and combinatorics of phase portraits of similar systems were studied in our previous publications.

Original languageEnglish
Article number32
Pages (from-to)464-473
Number of pages10
JournalSiberian Electronic Mathematical Reports
Volume18
Issue number1
DOIs
Publication statusPublished - 2021

Keywords

  • circular gene network
  • cycles
  • fixed points
  • invariant domains
  • phase portraits
  • piecewise linear dynamical systems
  • Poincare map

OECD FOS+WOS

  • 1.01 MATHEMATICS

State classification of scientific and technological information

  • 27 MATHEMATICS

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