Extensions of zero-dimensional dynamical systems and hyperbolic attractors

RJ Fokkink; J Keesling; LG Oversteegen

doi:doi:10.1016/j.topol.2004.08.016

Extensions of zero-dimensional dynamical systems and hyperbolic attractors

RJ Fokkink, J Keesling, LG Oversteegen

Applied Probability

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

Abstract

Motivated by a topological classification of tiling spaces by Barge and Diamond, we construct extensions of zero-dimensional dynamical systems by blowing up a first-category invariant set. In particular, it is possible to create an arbitrary number of asymptotic pairs in any dynamical system. Keywords: Residual extension; Hyperbolic attractor

Original language	Undefined/Unknown
Pages (from-to)	83-86
Number of pages	4
Journal	Topology and Its Applications: a journal devoted to general, geometric, set-theoretic and algebraic topology
Volume	152
Issue number	1-2
DOIs	https://doi.org/doi:10.1016/j.topol.2004.08.016
Publication status	Published - 2005

Keywords

academic journal papers
ZX CWTS JFIS < 1.00

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doi:10.1016/j.topol.2004.08.016

Cite this

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title = "Extensions of zero-dimensional dynamical systems and hyperbolic attractors",

abstract = "Motivated by a topological classification of tiling spaces by Barge and Diamond, we construct extensions of zero-dimensional dynamical systems by blowing up a first-category invariant set. In particular, it is possible to create an arbitrary number of asymptotic pairs in any dynamical system. Keywords: Residual extension; Hyperbolic attractor",

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T1 - Extensions of zero-dimensional dynamical systems and hyperbolic attractors

AU - Fokkink, RJ

AU - Keesling, J

AU - Oversteegen, LG

PY - 2005

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AB - Motivated by a topological classification of tiling spaces by Barge and Diamond, we construct extensions of zero-dimensional dynamical systems by blowing up a first-category invariant set. In particular, it is possible to create an arbitrary number of asymptotic pairs in any dynamical system. Keywords: Residual extension; Hyperbolic attractor

KW - academic journal papers

KW - ZX CWTS JFIS < 1.00

U2 - doi:10.1016/j.topol.2004.08.016

DO - doi:10.1016/j.topol.2004.08.016

M3 - Article

VL - 152

SP - 83

EP - 86

JO - Topology and Its Applications: a journal devoted to general, geometric, set-theoretic and algebraic topology

JF - Topology and Its Applications: a journal devoted to general, geometric, set-theoretic and algebraic topology

SN - 0166-8641

IS - 1-2

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