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Existence of invariant tori in volume-preserving diffeomorphisms

Published online by Cambridge University Press:  19 September 2008

Zhihong Xia
Zhihong Xia
Affiliation:
School of Mathematics, Georgia Institute of Technology, Atlanta, GA 30332, USA
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Abstract

In this paper we consider certain volume-preserving diffeomorphisms on I × Tn, where I ∈ ℝ is a closed interval and Tn is an n-dimensional torus. We show that under certain non-degeneracy conditions, all of the maps sufficiently close to the integrable maps preserve a large set of n-dimensional invariant tori.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 12 , Issue 3 , September 1992 , pp. 621 - 631
Copyright
Copyright © Cambridge University Press 1992

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References

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