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  • The blow-up method applied to monodromic singularities [Elektronski vir]
    Ferčec, Brigita ; Giné, Jaume
    The blow-up method proves its effectiveness to characterize the integrability of the resonant saddles giving the necessary conditions to have formal integrability and the sufficiency doing the ... resolution of the associated recurrence differential equation using induction. In this work we apply the blow-up method to monodromic singularities in order to solve the center-focus problem. The case of nondegenerate monodromic singularities is straightforward since any real nondegenerate monodromy singularity can be embedded into a complex system with a resonant saddle. Here we apply the method to nilpotent and degenerate monodromic singularities solving the center problem when the center conditions are algebraic.
    Source: Electronic journal of qualitative theory of differential equations [Elektronski vir]. - ISSN 1417-3875 (No. 4, 2024, 18 str.)
    Type of material - e-article ; adult, serious
    Publish date - 2024
    Language - english
    COBISS.SI-ID - 181232643

    Link(s):

    https://www.math.u-szeged.hu/ejqtde/p10602.pdf
    Digital Library of the University of Maribor – DLUM
    DOI

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