Axioms (Apr 2024)

The Existence of Li–Yorke Chaos in a Discrete-Time Glycolytic Oscillator Model

  • Mirela Garić-Demirović,
  • Mustafa R. S. Kulenović,
  • Mehmed Nurkanović,
  • Zehra Nurkanović

DOI
https://doi.org/10.3390/axioms13040280
Journal volume & issue
Vol. 13, no. 4
p. 280

Abstract

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This paper investigates an autonomous discrete-time glycolytic oscillator model with a unique positive equilibrium point which exhibits chaos in the sense of Li–Yorke in a certain region of the parameters. We use Marotto’s theorem to prove the existence of chaos by finding a snap-back repeller. The illustration of the results is presented by using numerical simulations.

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