Abstract
In this paper we classify the codimension one singularities of tangent vector fields on Whitney's umbrella and we give generic models for their bifurcations.
Keywords
- Vector Field
- Implicit Function Theorem
- Central Manifold
- Local Homeomorphism
- Tangent Vector Field
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This work was partially supported by FONDECYT'S Project N° 1190/85.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
F. Dumortier., Singularities of vector fields. Monografías de Matemática N° 32. Instituto de Matemática Pura e Aplicada, Rio de Janeiro, Brasil.
C. Gutiérrez-J. Sotomayor. Stable vector fields on manifolds with singularities, Proc. London Math. Soc. Vol. XLIV, July 1982, pp. 97–112.
M. Wallace., Caracterización de los campos vectoriales analíticos de ℝ3, tangentes al paraguas de Whitney, Notas de la Sociedad de Matemática de Chile (to appear).
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1988 Springer-Verlag
About this paper
Cite this paper
Billeke, J., Wallace, M. (1988). Bifurcationss of codimension one singularities of tangent vector fields on Whitney's umbrella. In: Bamón, R., Labarca, R., Palis, J. (eds) Dynamical Systems Valparaiso 1986. Lecture Notes in Mathematics, vol 1331. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083062
Download citation
DOI: https://doi.org/10.1007/BFb0083062
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-50016-2
Online ISBN: 978-3-540-45889-0
eBook Packages: Springer Book Archive
