Phase Portrait of the Riccati Quadratic Polynomial Differential Systems

Jaume Llibre, Bruno Dominiciano Lopes, Paulo Ricardo da Silva

In this paper we characterize the phase portrait of the Riccati quadratic polynomial differential systems $$\dot{x}={\alpha }_2(x),\dot{y}=k{y}^2+{\beta }_1(x)y+{\gamma }_2(x),$$ with $(x,y)\in…