From a differentiable to a real analytic perturbation theory, applications to the Kupka Smale theorems-Reference-Cited by-同舟云学术

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

Published:1986-09 Issue:3 Volume:6 Page:345-362
ISSN:0143-3857
Container-title:Ergodic Theory and Dynamical Systems
language:en
Short-container-title:Ergod. Th. Dynam. Sys.

Author:

Broer H. W.,Tangerman F. M.

Abstract

AbstractKupka-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.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,General Mathematics

Reference36 articles.

1. �ber die Existenz einer Normalform analytischerHamiltonscher Differentialgleichungen in der N�he einer Gleichgewichtsl�sung

2. On the group of real analytic diffeomorphisms of a compact real analytic manifold

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