On the center conditions for analytic monodromic degenerate singularities
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In this paper we present two methods for detecting centers of monodromic degenerate singularities of planar analytic vector fields. These methods use auxiliary symmetric vector fields can be applied independently that the singularity is algebraic solvable or not, or has characteristic directions or not. We remark that these are the first methods which allows to study monodromic degenerate singularities with characteristic directions.
Is part ofInternational Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2012, vol. 22, núm. 2, p. 1250303
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