From a differentiable to a real analytic perturbation theory, applications to the Kupka Smale theorems
- 1 June 1986
- journal article
- research article
- Published by Cambridge University Press (CUP) in Ergodic Theory and Dynamical Systems
- Vol. 6 (3) , 345-362
- https://doi.org/10.1017/s0143385700003540
Abstract
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.Keywords
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