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  • Limit cycle bifurcations from a nilpotent focus or center of planar systems
    Han, Maoan ; Romanovski, Valery
    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.
    Vir: Abstract and applied analysis. - ISSN 1085-3375 (Vol. 2012, art. ID 720830, 2012, 28 str.)
    Vrsta gradiva - članek, sestavni del
    Leto - 2012
    Jezik - angleški
    COBISS.SI-ID - 19592968

    Povezava(-e):

    http://dx.doi.org/10.1155/2012/720830
    Digitalna knjižnica Univerze v Mariboru – DKUM
    DOI

vir: Abstract and applied analysis. - ISSN 1085-3375 (Vol. 2012, art. ID 720830, 2012, 28 str.)
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