The Uniform Isochronous Centers with Homogeneous Nonlinearities of Degree 6
摘要
In this paper we study the topological phase portraits of polynomial differential systems with a uniform isochronous center, whose nonlinear parts are homogeneous polynomials of degree 6. We obtain all the distinct topological phase portraits in the Poincaré disc. For each phase portrait, we give a precise system to realize it.