Regions of instability for non-twist maps

John Franks; Patrice Le Calvez

doi:10.1017/S0143385702000858

Regions of instability for non-twist maps

John Franks^*, Patrice Le Calvez

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Review article › peer-review

48 Scopus citations

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.

Original language	English (US)
Pages (from-to)	111-141
Number of pages	31
Journal	Ergodic Theory and Dynamical Systems
Volume	23
Issue number	1
DOIs	https://doi.org/10.1017/S0143385702000858
State	Published - Feb 2003

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1017/S0143385702000858

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title = "Regions of instability for non-twist maps",

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.",

author = "John Franks and {Le Calvez}, Patrice",

year = "2003",

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doi = "10.1017/S0143385702000858",

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AU - Franks, John

AU - Le Calvez, Patrice

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DO - 10.1017/S0143385702000858

M3 - Review article

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SN - 0143-3857

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EP - 141

JO - Ergodic Theory and Dynamical Systems

JF - Ergodic Theory and Dynamical Systems

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Regions of instability for non-twist maps

Abstract

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