On a Class of One-dimensional Chaotic Discrete Dynamical System with Multi Step Piecewise Uniform Invariant Density

Abstract

Nonlinear systems described by the simple mathematical model often exhibit extremely complicated behavior called chaos. In this paper, chaotic behavior, exhibited by the one-dimensional difference equation, is discussed. A class of nonlinear discrete system with the invariant density, which is multi step type piece-wise uniform, is newly introduced.