NDLI: Torsion of instability zones for conservative twist maps on the annulus

Content Provider	Scilit
Author	Florio, Anna Calvez, Patrice Le
Copyright Year	2021
Description	Journal: Nonlinearity For a twist map f of the annulus preserving the Lebesgue measure, we give sufficient conditions to assure the existence of a set of positive measure of points with non-zero asymptotic torsion. In particular, we deduce that every bounded instability region for f contains a set of positive measure of points with non-zero asymptotic torsion. Moreover, for an exact symplectic twist map f, we provide a simple, geometric proof of a result by Cheng and Sun (1996 Sci. China A 39 709) which characterizes -integrability of f by the absence of conjugate points.
Related Links	https://iopscience.iop.org/article/10.1088/1361-6544/abbe63/pdf
Ending Page	423
Page Count	13
Starting Page	411
ISSN	09517715
e-ISSN	13616544
DOI	10.1088/1361-6544/abbe63
Journal	Nonlinearity
Issue Number	1
Volume Number	34
Language	English
Publisher	IOP Publishing
Publisher Date	2021-01-01
Access Restriction	Open
Subject Keyword	Journal: Nonlinearity Twist Map
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Statistical and Nonlinear Physics Mathematical Physics

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