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384531

On positive braids motivated by Rossler dynamical system

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Last updated: 31 Dec 2024

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Abstract

Rossler positive braids are defined and denoted by Rþ
m. We represented a general form of
Rossler positive braid, and its associated permutation. For the m period Rossler positive braid Rþ
m,
the number of crossing equals to ½2ðm  2Þþðm  1Þ, and the genus g ðRþ
mÞ¼ðm  2Þ, it also has a
braid index equals to m, m > 1. 

DOI

10.1016/j.joems.2014.11.001

Keywords

KEYWORDS Braid groups, Knots, Positive braid, Rossler dynamical system

Authors

First Name

M. Anis, E.

Last Name

Ahmed

MiddleName

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Affiliation

Department of Mathematics, Faculty of Science, Mansoura University, 35516, Egypt

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Orcid

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First Name

Atef Ibrahim

Last Name

Elmahdy

MiddleName

-

Affiliation

Department of Mathematics, Faculty of Science, Mansoura University, 35516, Egypt

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Volume

23

Article Issue

3

Related Issue

50853

Issue Date

2015-10-01

Receive Date

2024-10-07

Publish Date

2015-10-01

Page Start

490

Page End

493

Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 23_Issue 3_Pages 490-493.pdf

PDF . 963.5kB

Link

https://joems.journals.ekb.eg/article_384531.html

Detail API

https://joems.journals.ekb.eg/service?article_code=384531

Order

384,531

Type

Original Article

Type Code

3,248

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

https://joems.journals.ekb.eg/

MainTitle

On positive braids motivated by Rossler dynamical system

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Type

Article

Created At

21 Dec 2024