Invariant circles for homogeneous polynomial vector fields on the 2-dimensional sphere

Limit cycles, invariant meridians and pa

Limit cycles, invariant meridians and parallels for polynomial vector fields on the torus

✍ Jaume Llibre; João C. Medrado 📂 Article 📅 2011 🏛 Elsevier Science 🌐 French ⚖ 115 KB

We study the polynomial vector fields of arbitrary degree in R 3 having the 2-dimensional torus invariant by their flow. We characterize all the possible configurations of invariant meridians and parallels that these vector fields can exhibit. Furthermore we analyze when these invariant either meri