Phase portraits of quadratic polynomial vector fields having a rational first integral of degree 3

Phase portraits of quadratic polynomial

Phase portraits of quadratic polynomial vector fields having a rational first integral of degree 2

✍ Laurent Cairó; Jaume Llibre 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 840 KB

We classify all the global phase portraits of the quadratic polynomial vector fields having a rational first integral of degree 2. In other words we characterize all the global phase portraits of the quadratic polynomial vector fields having all their orbits contained in conics. For such a vector fi