Ask a Question

Prefer a chat interface with context about you and your work?

Polynomial and rational first integrals for planar homogeneous polynomial differential systems

Polynomial and rational first integrals for planar homogeneous polynomial differential systems

In this paper we find necessary and sufficient conditions in order that a planar homogeneous polynomial differential system has a polynomial or rational first integral.We apply these conditions to linear and quadratic homogeneous polynomial differential systems.