Global phase portraits of quintic reversible uniform isochronous centers

Abstract

This paper studies the global phase portraits of uniform isochronous quintic centers at the origin with time reversibility such that their nonlinear part is not homogeneous. By using Poincaré compactification, we obtain all possible phase portraits of this quintic polynomial differential system.

Keywords

• quintic polynomial system
• uniform isochronous centers
• global phase portraits
• time reversibility