A hybrid symbolic-numerical approach to the center-focus problem. (September 2017)

• Record Type: Journal Article
• Authors: Mahdi, Adam; Pessoa, Claudio; Hauenstein, Jonathan D.
• Is Part Of: Journal of symbolic computation. Volume 82(2017)
• Page Start: 57
• Page End: 73
• Publication Date: 2017-09
• Subjects: Center-focus problem -- Center manifold -- First integral -- Numerical algebraic geometry; 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.2016.11.019
• Languages: English
• ISSNs: 0747-7171

Abstract

Abstract: We propose a new hybrid symbolic-numerical approach to the center-focus problem. The method allowed us to obtain center conditions for a three-dimensional system of differential equations, which was previously not possible using traditional, purely symbolic computational techniques.