Evolutionary stable strategies and cubic vector fields

J Bastos, C Buzzi, P Santana - Nonlinear Differential Equations and …, 2024 - Springer
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 …

Phase portraits of (2; 0) reversible vector fields with symmetrical singularities

C Buzzi, J Llibre, P Santana - Journal of Mathematical Analysis and …, 2021 - Elsevier
In this paper we study the phase portraits in the Poincaré disk of the reversible vector fields
of type (2; 0) having generic bifurcations around a symmetric singular point p. We also prove …

[HTML][HTML] Integrability via reversibility

MP Wojtkowski - Journal of Geometry and Physics, 2017 - Elsevier
A class of left-invariant second order reversible systems with functional parameter is
introduced which exhibits the phenomenon of robust integrability: an open and dense …

Planar reversible vector fields, averaging theory and polycycles in non-smooth vector fields

PHR Santana - 2021 - repositorio.unesp.br
Neste trabalho veremos os retratos de fase, no disco de Poincaré, das formas normais
locais das singularidades simétricas dos campos reversíveis do tipo (2; 0) e (2; 1) de baixa …

[引用][C] A FAMILY OF QUADRATIC POLYNOMIAL VECTOR FIELDS ON S2 WITH (3, 2)-TYPE REVERSIBILITY