Exponentially Small Heteroclinic Breakdown in the Generic Hopf-Zero Singularity
View/Open
art%3A10.1007%2Fs10884-013-9297-2.pdf (680,9Kb) (Restricted access)
Request copy
Què és aquest botó?
Aquest botó permet demanar una còpia d'un document restringit a l'autor. Es mostra quan:
- Disposem del correu electrònic de l'autor
- El document té una mida inferior a 20 Mb
- Es tracta d'un document d'accés restringit per decisió de l'autor o d'un document d'accés restringit per política de l'editorial
Cita com:
hdl:2117/20865
Document typeArticle
Defense date2013
Rights accessRestricted access - publisher's policy
Abstract
In this paper we prove the breakdown of a heteroclinic connection in the analytic
versal unfoldings of the generic Hopf-zero singularity in an open set of the parameter space.
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 corresponding stable and unstable one-dimensional manifolds
which is given by an exponentially small function in the perturbation parameter. Our result
applies both for conservative and dissipative unfoldings
CitationBaldoma, I.; Castejon, O.; Martinez-seara, M. Exponentially Small Heteroclinic Breakdown in the Generic Hopf-Zero Singularity. "Journal of dynamics and differential equations", 2013, vol. 25, núm. 2, p. 335-392.
ISSN1040-7294
Publisher versionhttp://link.springer.com/article/10.1007%2Fs10884-013-9297-2
Files | Description | Size | Format | View |
---|---|---|---|---|
art%3A10.1007%2Fs10884-013-9297-2.pdf![]() | 680,9Kb | Restricted access |
Except where otherwise noted, content on this work
is licensed under a Creative Commons license
:
Attribution-NonCommercial-NoDerivs 3.0 Spain