Keywords
- Bifurcation Diagram
- Invariant Manifold
- Unstable Manifold
- Stable Manifold
- Fundamental Domain
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 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
Bröcker, Th. Differentiable germs and catastrophes, Cambridge University Press, (1975).
Hirsch, M.W. Pugh, C.C. Shub, M. Invariant Manifolds, Springer Lecture Notes in Mathematics 583, (1977).
Newhouse, S. Palis, J. Takens, F. Bifurcations and Stability of Families of Diffeomorphisms, Publications Mathématiques I.H.E.S., 57, (1981).
Palis, J. de Melo, W. Geometric Theory of Dynamical Systems, An Introduction, Springer Verlag, (1982).
Palis, J. A differentiable invariant of topological conjugacies and moduli of stability, Astérisque, 51, 335–346, (1978).
Palis, J. Smale, S. Structural Stability theorems, in: Global Analysis, Proc. A.M.S. Symp. in Pure Math. XIV, 223–232, (1970).
Palis, J. Takens, F. Stability of Parametrized Families of Gradient Vector Fields, Annals of Mathematics, 118, 383–421, (1983).
Takens, F. Moduli of stability for gradients: generic k-parameter families are not always structurally stable, to appear in the Proceedings of a Conference on Dynamical Systems in Heraklion, Crete, ed. S.N. Pneumatikos, (1983).
Vegter, G. Bifurcations of gradient vector fields, Astérisque vol. 98–99, 39–73, (1982).
Vegter, G. Bifurcations of gradient vector fields, Ph.D. Thesis, Groningen, (1983).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1985 Springer-Verlag
About this paper
Cite this paper
Vegter, G. (1985). Global stability of generic two-parameter families of gradients on three-manifolds. In: Braaksma, B.L.J., Broer, H.W., Takens, F. (eds) Dynamical Systems and Bifurcations. Lecture Notes in Mathematics, vol 1125. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0075638
Download citation
DOI: https://doi.org/10.1007/BFb0075638
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-15233-0
Online ISBN: 978-3-540-39411-2
eBook Packages: Springer Book Archive
