Topological dynamics of two-piece eventually expanding maps

Youngna Choi

doi:10.1016/j.aml.2007.10.022

Topological dynamics of two-piece eventually expanding maps

Youngna Choi

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

Abstract

In this work we show that two-piece eventually expanding maps have the same topological dynamics as two-piece expanding maps. A two-piece eventually expanding map possesses an invariant set that is either a topological attractor or can be perturbed to become one.

Original language	English
Pages (from-to)	1033-1036
Number of pages	4
Journal	Applied Mathematics Letters
Volume	21
Issue number	10
DOIs	https://doi.org/10.1016/j.aml.2007.10.022
State	Published - Oct 2008

Keywords

Attractor
Expanding map
Geometric model
Invariant measure
Lorenz attractor

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10.1016/j.aml.2007.10.022

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title = "Topological dynamics of two-piece eventually expanding maps",

abstract = "In this work we show that two-piece eventually expanding maps have the same topological dynamics as two-piece expanding maps. A two-piece eventually expanding map possesses an invariant set that is either a topological attractor or can be perturbed to become one.",

keywords = "Attractor, Expanding map, Geometric model, Invariant measure, Lorenz attractor",

author = "Youngna Choi",

year = "2008",

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KW - Attractor

KW - Expanding map

KW - Geometric model

KW - Invariant measure

KW - Lorenz attractor

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JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

IS - 10

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Topological dynamics of two-piece eventually expanding maps

Abstract

Keywords

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