Employing 0-1 test for chaos to characterize the chaotic dynamics of a generalized Gauss iterated map

Abstract

This work deals with the numerical analysis of the nonlinear dynamics of a Gauss iterated map in a generalized form, obtained with the inclusion of two extra parameters, which makes the map dynamic behavior quite different from the original system. For the exploration of such dynamics, the 0-1 test for chaos is employed to identify intervals of parameters associated with chaotic and regular behavior. The validity of the chaoticity-regularity classification obtained with 0-1 test is confirmed by comparison with bifurcation diagrams. Contour maps reveal regions where chaotic behavior could be observed when two parameters are considered for the analysis. Palavras-chave. nonlinear dynamics, chaotic system, generalized Gauss iterated map, 0-1 test for chaos