Analytic integrability of quasi-homogeneous systems via the Yoshida method. (May 2021)

• Record Type: Journal Article
• Authors: García, Belén; Llibre, Jaume; Lombardero, Antón; Pérez del Río, Jesús S.
• Is Part Of: Journal of symbolic computation. Volume 104(2021)
• Page Start: 960
• Page End: 980
• Publication Date: 2021-05
• Subjects: Quasi-homogeneous differential systems -- Analytic integrability -- Kovalevskaya exponents -- Yoshida method; Mathematics -- Data processing -- Periodicals; Numerical analysis -- Data processing -- Periodicals; Automatic programming (Computer science) -- Periodicals; Mathématiques -- Informatique -- Périodiques; Analyse numérique -- Informatique -- Périodiques; Programmation automatique -- Périodiques; Automatic programming (Computer science); Mathematics -- Data processing; Numerical analysis -- Data processing; Periodicals; Electronic journals; 510.285
• DOI: 10.1016/j.jsc.2020.11.002
• Languages: English
• ISSNs: 0747-7171

Abstract

Abstract: The objective of this paper is twofold. First we do a survey on what we call the Yoshida method for studying the analytic first integrals of the quasi-homogeneous polynomial differential systems. After, we apply the Yoshida method for studying the analytic first integrals of all the quasi-homogeneous polynomial differential systems in R 3 of degree 2.