On the center conditions for analytic monodromic degenerate singularities

Giné, Jaume; Llibre, Jaume

doi:https://doi.org/10.1142/S0218127412503038

View/Open

Preprint (589.3Kb)

Issue date

2012

Author

Giné, Jaume

Llibre, Jaume

Suggested citation

Giné, Jaume; Llibre, Jaume; . (2012) . On the center conditions for analytic monodromic degenerate singularities. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2012, vol. 22, núm. 2, p. 1250303. https://doi.org/10.1142/S0218127412503038.

Abstract

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.

URI

http://hdl.handle.net/10459.1/60386

DOI

https://doi.org/10.1142/S0218127412503038

Is part of

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2012, vol. 22, núm. 2, p. 1250303