Center problem in the center manifold for quadratic differential systems in R3. (March 2016)

• Record Type: Journal Article
• Authors: Giné, Jaume; Valls, Claudia
• Is Part Of: Journal of symbolic computation. Volume 73(2016)
• Page Start: 250
• Page End: 267
• Publication Date: 2016-03
• Subjects: 34C05 -- 34A34 -- 34C14; Center-focus problem -- Center manifolds -- First integrals -- Modular arithmetics -- Gröbner basis; 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.2015.04.001
• Languages: English
• ISSNs: 0747-7171

Abstract

Abstract: Using tools of computer algebra based on the Gröbner basis theory we derive conditions for the existence of a center on a local center manifold for fifteen seven-parameter families of quadratic systems on R 3 . To obtain the results we use modular arithmetics.