20.500.12556/DKUM-67194 Computation of focus quantities of three-dimensional polynomial systems Fix a collection of polynomial vector fields on $R^3$ with a singularity at the origin, for every one of which the linear part at the origin has two pure imaginary and one non-zero eigenvalue. Some such systems admit a local analytic first integral, which then defines a local center manifold of the system.Conditions for existence of a first integral are given by the vanishing certain polynomial or rational functions in the coefficients of the system called focus quantities. In this paper we prove that the focus quantities have a structure analogous to that in the two-dimensional case and use it to formulate an efficient algorithm for computing them. integrability focus quantities center conditions integrabilnost fokusne količine stanje centra true true true Angleški jezik Slovenski jezik Neznano 2017-08-07 08:25:03 2017-08-07 08:26:44 2026-09-03 12:44:39 2019-07-11 16:12:07 2014 0 0 str. 529-544 št. 5 Letn. 43 Oct. 2014 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 Y507-6781 517.9 20968456 20981768 Y507-6781 URN:SI:UM:DK:VFEI6KHA Journal_of_Shanghai_Normal_University_(Natural_Sciences_·_Mathematics)_2014_G．_Romanovski,_Shafer_Computation_of_focus_quantities_of_t.pdf Journal_of_Shanghai_Normal_University_(Natural_Sciences_·_Mathematics)_2014_G．_Romanovski,_Shafer_Computation_of_focus_quantities_of_t.pdf 1 79C2FAA79CC71F57A8C8F6753AB68C0A c2cc06d20e80277104fbcf2b9957a5a2674d59de7f1db250dff859ae376def02 7c0a6e2f-7c0e-11eb-bb7a-00155d0001ca 20.500.12556/dkum/3830b9f2-76d0-4cc3-9e48-f1e82f2a1c0f https://dk.um.si/Dokument.php?lang=slv&id=114912 http://qktg.shnu.edu.cn/zrb/shsfqkszrben/ch/reader/view_abstract.aspx?file_no=201405010&flag=1 1 https://dk.um.si/Dokument.php?lang=slv&id=114911 Fakulteta za naravoslovje in matematiko 0 0 0