Now showing items 1-3 of 3

    • Cyclicity of Nilpotent Centers with Minimum Andreev Number 

      García, I. A. (Isaac A.) (Springer, 2019-10-07)
      We consider polynomial families of real planar vector fields for which the origin is a monodromic nilpotent singularity having minimum Andree's number. There the centers are characterized by the existence of a formal inverse ...
    • Cyclicity of some symmetric nilpotent centers 

      García, I. A. (Isaac A.) (Elsevier, 2016)
      In this work we present techniques for bounding the cyclicity of a wide class of monodromic nilpotent singularities of symmetric polynomial planar vector fields. The starting point is identifying a broad family of nilpotent ...
    • Formal inverse integrating factors and the nilpotent center problem 

      García, I. A. (Isaac A.) (World Scientific Publishing, 2016)
      We are interested in deepening knowledge of methods based on formal power series applied to the nilpotent center problem of planar local analytic monodromic vector fields X. As formal integrability is not enough to ...