Constructing center-stable tori

Andy Hammerlindl

doi:10.1016/j.anihpc.2017.07.005

Constructing center-stable tori

Andy Hammerlindl

School of Mathematics

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

2 Citations (Scopus)

Abstract

We show that certain derived-from-Anosov diffeomorphisms on the 2-torus may be realized as the dynamics on a center-stable or center-unstable torus of a 3-dimensional strongly partially hyperbolic system. We also construct examples of center-stable and center-unstable tori in higher dimensions.

Original language	English
Pages (from-to)	713-728
Number of pages	16
Journal	Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire
Volume	35
Issue number	3
DOIs	https://doi.org/10.1016/j.anihpc.2017.07.005
Publication status	Published - May 2018

Keywords

Dynamical coherence
Invariant submanifolds
Partial hyperbolicity

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10.1016/j.anihpc.2017.07.005

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title = "Constructing center-stable tori",

abstract = "We show that certain derived-from-Anosov diffeomorphisms on the 2-torus may be realized as the dynamics on a center-stable or center-unstable torus of a 3-dimensional strongly partially hyperbolic system. We also construct examples of center-stable and center-unstable tori in higher dimensions.",

keywords = "Dynamical coherence, Invariant submanifolds, Partial hyperbolicity",

author = "Andy Hammerlindl",

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AB - We show that certain derived-from-Anosov diffeomorphisms on the 2-torus may be realized as the dynamics on a center-stable or center-unstable torus of a 3-dimensional strongly partially hyperbolic system. We also construct examples of center-stable and center-unstable tori in higher dimensions.

KW - Dynamical coherence

KW - Invariant submanifolds

KW - Partial hyperbolicity

UR - https://www.scopus.com/pages/publications/85028659093

U2 - 10.1016/j.anihpc.2017.07.005

DO - 10.1016/j.anihpc.2017.07.005

M3 - Article

AN - SCOPUS:85028659093

SN - 0294-1449

VL - 35

SP - 713

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JO - Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire

JF - Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire

IS - 3

ER -

Constructing center-stable tori

Abstract

Keywords

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