Regions of instability for non-twist maps

John M Franks*, Patrice Le Calvez

*Corresponding author for this work

Research output: Contribution to journalReview article

35 Citations (Scopus)

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 languageEnglish (US)
Pages (from-to)111-141
Number of pages31
JournalErgodic Theory and Dynamical Systems
Volume23
Issue number1
DOIs
StatePublished - Feb 1 2003

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Twist Map
Diffeomorphisms
Analogue
Context

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

Franks, John M ; Le Calvez, Patrice. / Regions of instability for non-twist maps. In: Ergodic Theory and Dynamical Systems. 2003 ; Vol. 23, No. 1. pp. 111-141.
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Regions of instability for non-twist maps. / Franks, John M; Le Calvez, Patrice.

In: Ergodic Theory and Dynamical Systems, Vol. 23, No. 1, 01.02.2003, p. 111-141.

Research output: Contribution to journalReview article

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T1 - Regions of instability for non-twist maps

AU - Franks, John M

AU - Le Calvez, Patrice

PY - 2003/2/1

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N2 - 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.

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DO - 10.1017/S0143385702000858

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