A new method for twist theorems

Yitzhak Katznelson; Donald S. Ornstein

doi:10.1007/BF03341971

A new method for twist theorems

Yitzhak Katznelson^*
, Donald S. Ornstein

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

We present a new method to prove twist theorems. The method applies to C^3+γ, measure-preserving twist maps which are not necessarily perturbations of the classical Twist, but it assumes “good behavior” for some finite orbit (which is guaranteed in particular if the map is a perturbation or if F has a good rotation number on a boundary circle) and guarantees a set of positive measure of C^2+γ−ε invariant curves.

Original language	English
Pages (from-to)	157-208
Number of pages	52
Journal	Journal d'Analyse Mathematique
Volume	60
Issue number	1
DOIs	https://doi.org/10.1007/BF03341971
State	Published - Dec 1993
Externally published	Yes

Access to Document

10.1007/BF03341971

Cite this

@article{34d15425e54c454986de358bd7092c22,

title = "A new method for twist theorems",

abstract = "We present a new method to prove twist theorems. The method applies to C3+γ, measure-preserving twist maps which are not necessarily perturbations of the classical Twist, but it assumes “good behavior” for some finite orbit (which is guaranteed in particular if the map is a perturbation or if F has a good rotation number on a boundary circle) and guarantees a set of positive measure of C2+γ−ε invariant curves.",

author = "Yitzhak Katznelson and Ornstein, \{Donald S.\}",

year = "1993",

month = dec,

doi = "10.1007/BF03341971",

language = "אנגלית",

volume = "60",

pages = "157--208",

journal = "Journal d'Analyse Mathematique",

issn = "0021-7670",

publisher = "Springer New York",

number = "1",

}

TY - JOUR

T1 - A new method for twist theorems

AU - Katznelson, Yitzhak

AU - Ornstein, Donald S.

PY - 1993/12

Y1 - 1993/12

N2 - We present a new method to prove twist theorems. The method applies to C3+γ, measure-preserving twist maps which are not necessarily perturbations of the classical Twist, but it assumes “good behavior” for some finite orbit (which is guaranteed in particular if the map is a perturbation or if F has a good rotation number on a boundary circle) and guarantees a set of positive measure of C2+γ−ε invariant curves.

AB - We present a new method to prove twist theorems. The method applies to C3+γ, measure-preserving twist maps which are not necessarily perturbations of the classical Twist, but it assumes “good behavior” for some finite orbit (which is guaranteed in particular if the map is a perturbation or if F has a good rotation number on a boundary circle) and guarantees a set of positive measure of C2+γ−ε invariant curves.

UR - https://www.scopus.com/pages/publications/84951664805

U2 - 10.1007/BF03341971

DO - 10.1007/BF03341971

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:84951664805

SN - 0021-7670

VL - 60

SP - 157

EP - 208

JO - Journal d'Analyse Mathematique

JF - Journal d'Analyse Mathematique

IS - 1

ER -

A new method for twist theorems

Abstract

Access to Document

Other files and links

Fingerprint

Cite this