An Approach to Generating Extremely Multistable Chaotic Systems

Abstract

In this paper, we propose new approaches to the construction of extremely multistable systems containing one-, two-, and three-dimensional lattices of identical hidden chaotic attractors possessing the same Lyapunov exponents. In particular, we prove that for multidimensional models of automatic control systems in the Lurie form, it is always possible to pass from an interactive system to a cascade system; this substantially simplifies the procedure for constructing multidimensional lattices of identical chaotic attractors.