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

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.… Click to show full abstract

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.

Keywords: time glycolytic; glycolytic oscillator; discrete time; oscillator model

Journal Title: Axioms
Year Published: 2024

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