Open AccessCENTER PROBLEM FOR CUBIC DIFFERENTIAL SYSTEMS WITH THE LINE AT INFINITY AND AN AFFINE REAL INVARIANT STRAIGHT LINE OF TOTAL MULTIPLICITY FOUR
Author(s) -
Şubă Alexandru,
Vacaraş Olga
Publication year - 2021
Publication title -
bukovinsʹkij matematičnij žurnal
Language(s) - English
Resource type - Journals
ISSN - 2309-4001
DOI - 10.31861/bmj2021.02.03
Subject(s) - multiplicity (mathematics) , degenerate energy levels , invariant (physics) , mathematics , affine transformation , pure mathematics , mathematical analysis , physics , mathematical physics , quantum mechanics
In this article, we show that a non-degenerate monodromic critical point of dierentialsystems with the line at innity and an ane real invariant straight line of total multiplicityfour is a center type if and only if the rst four Lyapunov quantities vanish.