Regions of instability for non-twist maps

1999/10/27 by John Franks, Patrice Le Calvez, Franks, John +1
Mathematics · Physics and Astronomy · #34C35 #58F05 #Advanced Differential Equations and Dynamical Systems #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems #math.DS #msc:34C35 #msc:58F05

paper · pdf · doi:10.48550/arxiv.math/9910152

30 pages

openalex publication_date 1999/10/27 · arxiv created 2000/05/30 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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