Marcelo A. Pires

activity

20242026

α

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

5 citations · 14 across the 5 of their papers we have counts for

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3 papers · 1 filter

nlin.CD2026

Tricriticality and chaos in a generalized Allee-logistic map

Marcelo A. Pires, José S. Andrade, Hans J. Herrmann

We present a novel nonlinear dynamical model, the generalized Allee-logistic (GAL) map given by $x_{t + 1} = r x_{t} (1 - x_{t}) G (x_{t})$ where $G (x_{t}) = m (x_{t} - h) + 1 - m$ incorporates…

nlin.CD2026★ 2 cited

Chaos and Parrondo's paradox: An overview

Marcelo A. Pires, Erveton P. Pinto, Jose S. Cánovas +1

Parrondo's paradox (PP) is a fundamental principle in nonlinear science where the alternation of individually losing strategies leads to a winning outcome. In this topical review,…

nlin.CD2025★ 5 cited

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

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

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…

Tricriticality and chaos in a generalized Allee-logistic map

Chaos and Parrondo's paradox: An overview

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

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