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20142025
most citedMelnikov analysis in nonsmooth differential systems with nonlinear switching manifold

44 citations · 61 across the 5 of their papers we have counts for

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math.DS2025

Backward Julia sets for a class of p-adic Hénon like maps

Jéfferson L. R. Bastos, Danilo Caprio, Oyran Raizzaro

In this work we study the backward filled Julia sets of a class of -adic polynomial maps defined by , where $c\…

math.DS2023★ 9 cited

On structural stability of Evolutionary Stables Strategies

Jefferson Bastos, Claudio Buzzi, Paulo Santana

The introduction of concepts of Game Theory and Ordinary Differential Equations into Biology gave birth to the field of Evolutionary Stable Strategies, with applications in Biology…

math.DS2022★ 5 cited

Evolutionary Stable Strategies and Cubic Vector Fields

Jefferson Bastos, Claudio Buzzi, Paulo Santana

The introduction of concepts of Game Theory and Ordinary Differential Equations into Biology gave birth to the field of Evolutionary Stable Strategies, with applications in Biology…

math.DS2020

Shadowing and Stability in p-adic dynamics

Jéfferson Bastos, Danilo Caprio, Ali Messaoudi

In this paper, we study dynamical properties as shadowing and structural stability for a class of dynamics on and , where is a prime number.…

math.DS2018★ 44 cited

Melnikov analysis in nonsmooth differential systems with nonlinear switching manifold

Jéfferson L. R. Bastos, Claudio A. Buzzi, Jaume Llibre +1

We study the family of piecewise linear differential systems in the plane with two pieces separated by a cubic curve. Our main result is that 7 is a lower bound for the Hilbert num…

math.DS2014★ 2 cited

Parametrization for a class of Rauzy Fractal

Jefferson Bastos, Tatiana Rodrigues

In this paper, we study a class of Rauzy fractals given by the polynomial where is an integer. In particular we give explicitly an autom…

math.DS2014★ 1 cited

A class of cubic Rauzy Fractals

J. Bastos, A. Messaoudi, D. Smania +1

In this paper, we study arithmetical and topological properties for a class of Rauzy fractals given by the polynomial where is an intege…