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Composing α-Gauss and logistic maps: Gradual and sudden transitions to chaos

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We introduce the α-Gauss-Logistic map, a new nonlinear dynamics constructed by composing the logistic and α-Gauss maps. Explicitly, our model is given by x_{t+1}=f_{L}(x_{t})x_{t}^{-α}-⌊f_{L}(x_{t})x_{t}^{-α}⌋, where f_{L}(x_{t})=rx_{t}(1-x_{t}) is the l... ...