On the distality and expansivity of certain maps on spheres

Manoj Choudhuri; Gianluca Faraco; Alok Kumar Yadav

doi:10.1080/14689367.2023.2248013

On the distality and expansivity of certain maps on spheres

Manoj Choudhuri
, Gianluca Faraco
, Alok Kumar Yadav

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

1 Citation (Scopus)

Abstract

Any affine map on the (n + 1)-dimensional Euclidean space gives rise to a natural map on the n-dimensional sphere whose dynamical aspects are not so well-studied in the literature. We explore the dynamical aspects of these maps by investigating about their distality and expansivity.

Original language	English
Pages (from-to)	166-181
Number of pages	16
Journal	Dynamical Systems
Volume	39
Issue number	1
DOIs	https://doi.org/10.1080/14689367.2023.2248013
Publication status	Published - 2024
Externally published	Yes

Keywords

37C25
distality
expansivity
homeomorphisms
Primary:37B05
Secondary:37E10
spheres
Topological dynamics

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10.1080/14689367.2023.2248013

Cite this

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title = "On the distality and expansivity of certain maps on spheres",

abstract = "Any affine map on the (n + 1)-dimensional Euclidean space gives rise to a natural map on the n-dimensional sphere whose dynamical aspects are not so well-studied in the literature. We explore the dynamical aspects of these maps by investigating about their distality and expansivity.",

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author = "Manoj Choudhuri and Gianluca Faraco and Yadav, \{Alok Kumar\}",

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AU - Faraco, Gianluca

AU - Yadav, Alok Kumar

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AB - Any affine map on the (n + 1)-dimensional Euclidean space gives rise to a natural map on the n-dimensional sphere whose dynamical aspects are not so well-studied in the literature. We explore the dynamical aspects of these maps by investigating about their distality and expansivity.

KW - 37C25

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KW - expansivity

KW - homeomorphisms

KW - Primary:37B05

KW - Secondary:37E10

KW - spheres

KW - Topological dynamics

UR - https://www.scopus.com/pages/publications/85169674328

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DO - 10.1080/14689367.2023.2248013

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JO - Dynamical Systems

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On the distality and expansivity of certain maps on spheres

Abstract

Keywords

Access to Document

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