8 citations
3 papers
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.DS2021★ 3 cited
Stability and cyclicity of polycycles in non-smooth planar vector fields
Paulo Santana
In this paper we extend three results about polycycles (also known as graphs) of planar smooth vector field to planar non-smooth vector fields (also known as piecewise vector field…
math.DS2021★ 8 cited
Limit Cycles Bifurcating from a Periodic Annulus in Discontinuous Planar Piecewise Linear Hamiltonian differential System with Three Zones
Claudio Pessoa, Ronisio Ribeiro
In this paper, we study the number of limit cycles that can bifurcating from a periodic annulus in discontinuous planar piecewise linear Hamiltonian differential system with three…