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Breakdown of heteroclinic orbits for analytic unfoldings of the hopf-zero singularity. The singular case

Autor
Baldoma, I.; Martinez-seara, Tere; Castejon, O.
Tipus d'activitat
Document cientificotècnic
Data
2011
Repositori
http://hdl.handle.net/2117/15085 Obrir en finestra nova
URL
http://www.ma1.upc.edu/recerca/preprints/2011/ Obrir en finestra nova
Resum
In this paper we prove the breakdown of an heteroclinic connection in the analytic versal unfoldings of the generic Hopf-Zero singularity. This heteroclinic orbit appears at any order if one performs the normal form around the origin, therefore it is a phenomenon \beyond all orders". In this paper we provide a formula for the distance between the correspond- ing stable and unstable one dimensional manifolds which is given by an exponentially small function in the perturbation parameter. Our resu...
Citació
Baldomá, I.; Castejón, O.; Martínez-Seara, M. "Breakdown of heteroclinic orbits for analytic unfoldings of the hopf-zero singularity. The singular case". 2011.
Grup de recerca
SD - Sistemes Dinàmics

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