Comparison of random and deterministic characteristics of chaotic signals issued from a one-dimensional piecewise linear map

Abstract

This paper presents the characteristics of the power spectral density (PSD) of chaotic signals generated by a one-dimensional piecewise linear map. The majority of previous research on chaos show that chaotic signals are rather broadband with impulsive auto-correlation sequence (ACS). However, recent studies of the skew tent map [4, 5] have shown that the PSD and ACS are modi ed according to certain values of the bifurcations. We propose to extend this work to other maps and to study relations between bandwidth and Lyapunov exponents.