Lyapunov exponents of the predator prey model

Abstract

The main aim of this thesis is to indicate and quantify chaos in discrete dynamical systems that are depending on real parameters. As a first step the Lyapunov exponent is studied for one-dimensional maps. More precisely, the Logistic parametric family is deeply researched and the Lyapunov exponents are computed. Secondly, the Lyapunov exponents are introduced, studied and computed for n-dimensional maps, the Hénon map is investigated. As a goal of the research the Lotka–Volterra parametric family is introduced and utilizing installed algorithms their Lyapunov exponents are simulated and evaluated.