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From a differentiable to a real analytic perturbation theory, applications to the Kupka Smale theorems

Published online by Cambridge University Press:  19 September 2008

H. W. Broer  and
F. M. Tangerman
H. W. Broer
Affiliation:
Department of Mathematics, University of Groningen, G.P.O. 800, 9700 AV Groningen, The Netherlands
F. M. Tangerman
Affiliation:
Department of Mathematics, Boston University, 111 Cummingston Street, Boston, MA 02215, U.S.A.
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Abstract

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Kupka-Smale like theorems are proven in the real analytic case, using existing perturbation schemes for the smooth case and the heat operator. As a consequence, a topological proof is obtained of Siegel's theorem on the generic divergence of normal form transformations.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 6 , Issue 3 , September 1986 , pp. 345 - 362
Copyright
Copyright © Cambridge University Press 1986

References

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