Systèmes dynamiques chaotiques

Abstract

This thesis focuses on chaotic discrete dynamical systems. A detailed study on the notions of discrete dynamical systems such as the notion of stability, bifurcations and chaos are available in this thesis. In this thesis there is also a brief introduction to optimization methods. In addition, some types of chaos application to optimization are developed such as on efficient chaotic optimization algorithm based on partition of data set in global research step and chaotic optimization algorithm based on the modified probability density function of Lozi map. Numerical simulations are used to validate the proposed results.