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Destruction of invariant circles

Published online by Cambridge University Press:  10 December 2009

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Abstract

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Let in be an exact, area-preserving, monotone twist diffeomorphism of the cylinder and let 10 be a Liouville number. We will show that arbitrarily close to in the C∞ topology there exists a C∞ diffeomorphism with no homotopically non-trivial invariant circle of rotation number ω.

Information

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 8 , Volume 8: Charles Conley Memorial Issue , December 1988, pp. 199 - 214
Copyright
Copyright © Cambridge University Press 1988

References

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