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Ergodic Theory and Dynamical Systems Ergodic Theory and Dynamical Systems

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Regions of instability for non-twist maps

Published online by Cambridge University Press:  24 January 2003

JOHN FRANKS  and
PATRICE LE CALVEZ
JOHN FRANKS
Affiliation:
Department of Mathematics, Northwestern University, Evanston, IL 60208-2730 (e-mail: john@math.northwestern.edu)
PATRICE LE CALVEZ
Affiliation:
Laboratoire Analyse, Géometrie et Applications, UMR CNRS 7539, Institut Galilée, Université Paris 13, 93430 Villetaneuse, France
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Abstract

In this paper we consider an analog of the regions of instability for twist maps in the context of area preserving diffeomorphisms which are not twist maps. Several properties analogous to those of classical regions of instability are proved.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 23 , Issue 1 , February 2003 , pp. 111 - 141
Copyright
2003 Cambridge University Press

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