Quasi-homogeneous polynomial differential systems having a center at the origin. (May 2020)

• Record Type: Journal Article
• Authors: Xiong, Yanqin; Lu, Shiping
• Is Part Of: Applied mathematics letters. Volume 103(2020)
• Publication Date: 2020-05
• Subjects: Quasi-homogeneous polynomial system -- Center -- Weight degree; Applied mathematics -- Periodicals; 519.05
• DOI: 10.1016/j.aml.2019.106167
• Languages: English
• ISSNs: 0893-9659

Abstract

Abstract: This paper investigates the quasi-homogeneous polynomial differential systems with a center at the origin. It provides general forms of the corresponding systems and presents two algorithms finding all possible systems with a given degree or a given weight degree by the algebraic analysis method. As an application, two special cases have been studied.