5 papers
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 where incorporates…
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,…
Composing -Gauss and logistic maps: Gradual and sudden transitions to chaos
Marcelo A. Pires, Constantino Tsallis, Evaldo M. F. Curado
We introduce the -Gauss-Logistic map, a new nonlinear dynamics constructed by composing the logistic and -Gauss maps. Explicitly, our model is given by $x_{t+1} = f_L(x_t)x…
Cryptocurrency Time Series on the Binary Complexity-Entropy Plane: Ranking Efficiency from the Perspective of Complex Systems
Erveton P. Pinto, Marcelo A. Pires, Rone N. da Silva +1
We report the first application of a tailored Complexity-Entropy Plane designed for binary sequences and structures. We do so by considering the daily up/down price fluctuations of…
Parrondo's effects with aperiodic protocols
Marcelo A. Pires, Erveton P. Pinto, Rone N. da Silva +1
In this work, we study the effectiveness of employing archetypal aperiodic sequencing -- namely Fibonacci, Thue-Morse, and Rudin-Shapiro -- on the Parrondian effect. From a capital…