20.500.12556/DKUM-67234 Limit cycle bifurcated from a center in a three dimensional system Based on the pseudo-division algorithm, we introduce a method for computing focal values of a class of 3-dimensional autonomous systems. Using the $Є^1$-order focal values computation, we determine the number of limit cycles bifurcating from each component of the center variety (obtained by Mahdi et al). It is shown that at most four limit cycles can be bifurcated from the center with identical quadratic perturbations and that the bound is sharp. algorithms three dimensional systems focal value limit cycle Hopf bifurcation center algoritmi tridimenzionalni sistemi fokusna vrednost limitni cikel Hopfova bifurkacija središče true false true Angleški jezik Slovenski jezik Znanstveno delo 2017-08-08 11:55:01 2017-08-08 11:56:21 2022-08-01 13:42:47 2019-07-11 16:13:24 2016 0 0 str. 1-11 št. 109 Letn. 2016 2016 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 1072-6691 517.95 7027289 1024228444 1072-6691 URN:SI:UM:DK:DWEBBLPK Electronic_Journal_of_Differential_Equations_2016_Sang,_Fercec,_Wang_Limit_Cycles_Bifurcated_From_a_Center_in_a_Three_Dimensional_System.pdf Electronic_Journal_of_Differential_Equations_2016_Sang,_Fercec,_Wang_Limit_Cycles_Bifurcated_From_a_Center_in_a_Three_Dimensional_System.pdf 1 A8A709DB1B3C935BB67FC787109AF9FB 4a7ab4831358c856e5993bdb93c3a23d000f029289782bf06579d5df8b69ca18 7e1f26c9-7c0e-11eb-bb7a-00155d0001ca 20.500.12556/dkum/b58d581d-9d4e-4409-ae0e-a72e943f4b0f https://dk.um.si/Dokument.php?lang=slv&id=114994 http://ejde.math.txstate.edu/Volumes/2016/109/sang.pdf 1 https://dk.um.si/Dokument.php?lang=slv&id=114993 Fakulteta za energetiko 0 0 0