20.500.12556/DKUM-50610 Limit cycle bifurcations from a nilpotent focus or center of planar systems We study analytic properties of the Poincaré return map and generalized focal values of analytic planar systems with a nilpotent focus or center. We use the focal values and the map to study the number of limit cycles of this kind of systems and obtain some new results on the lower and upper bounds of the maximal number of limit cycles bifurcating from the nilpotent focus or center. The main results generalize the classical Hopf bifurcation theory and establish the new bifurcation theory for the nilpotent case. mathematic limit cycles bifurcation center problem matematika limitni cikli bifurkacija problem centra true true true Wiley Angleški jezik Slovenski jezik Znanstveno delo 2015-07-10 12:42:13 2015-07-10 12:42:13 2025-09-15 11:07:48 2022-03-30 03:07:12 2012 0 0 str. 1-28 Letn. 2012 2012 0000-00-00 Zaloznikova Objavljeno NiDoloceno 2012-08-11 2012-10-28 2012-11-28 1085-3375 517.9 12311129 19592968 10.1155/2012/720830 1085-3375 URN:SI:UM:DK:76CLVRAA Abstract_and_Applied_Analysis_2012_Han,_Romanovski_Limit_Cycle_Bifurcations_from_a_Nilpotent_Focus_or_Center_of_Planar_Systems.pdf Abstract_and_Applied_Analysis_2012_Han,_Romanovski_Limit_Cycle_Bifurcations_from_a_Nilpotent_Focus_or_Center_of_Planar_Systems.pdf 1 10E21BD4325361CF060108AC5B94DD05 658b4ad5ff1ee27f79b1504354c8a2382ab63318945e3cf631bbb03327833847 3c2402e8-7c0e-11eb-bb7a-00155d0001ca https://dk.um.si/Dokument.php?lang=slv&id=112422 http://www.hindawi.com/journals/aaa/2012/720830/ 1 https://dk.um.si/Dokument.php?lang=slv&id=75169 Fakulteta za naravoslovje in matematiko 0 0 0