Memetic approach for the reconstruction of periodic and chaotic orbits of two-dimensional cubic maps

Abstract Analyzing chaotic dynamical systems is a challenging task, due to their strong sensitivity to initial conditions, implying that even the smallest deviation in the initial conditions will amplify exponentially over the time. As a result, the reconstruction of periodic or chaotic orbits of chaotic dynamical systems from time series represents a formidable task. In this paper, we consider this problem for the case of two-dimensional discrete chaotic systems (maps). In a previous paper pres