Generating limit cycles from a nilpotent critical point via normal forms

By María Jesús Álvarez, Armengol Gasull. 2006

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Abstract It is well known that the normal form theory can be applied to solve the center–focus problem for monodromic planar nilpotent singularities. In this paper we see how this theory can also be applied to generate limit cycles from this type of singularities.

Subfields: Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/73514e608464ed5fcd61399b64bea851c8aed2de