Periodic orbits of some Zeraoulia-Sprott mappings

Abstract

This memory concerns the study of periodic orbits in some Zeraoulia-Sprott maps in 1 and 2 dimensions. The memory is divided into three chapters that deals with the properties of some 1 and 2 dimensional piecewise smooth maps, the Lyapunov exponents, the study of the periodic orbits of some two-dimensional chaotic attractors, and the study of the periodic orbits in one dimension.