Composing $\hat{I}\pm$-Gauss and logistic maps: Gradual and sudden transitions to chaos

Marcelo A. Pires, Constantino Tsallis, Evaldo M. F. Curado

We introduce the $\hat{I}\pm$-Gauss-Logistic map, a new nonlinear dynamics constructed by composing the logistic and $\hat{I}\pm$-Gauss maps. Explicitly, our model is given by $x_{t+1} = f_L(x_t)x…