A new chaotic map derived from the Hermite-Kronecker-Brioschi characterization of the Bring-Jerrard quintic form

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18450%2F23%3A50020626" target="_blank" >RIV/62690094:18450/23:50020626 - isvavai.cz</a>

Result on the web

<a href="https://iopscience.iop.org/article/10.1088/1402-4896/acef6f" target="_blank" >https://iopscience.iop.org/article/10.1088/1402-4896/acef6f</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1088/1402-4896/acef6f" target="_blank" >10.1088/1402-4896/acef6f</a>

Result language

angličtina

Original language name

A new chaotic map derived from the Hermite-Kronecker-Brioschi characterization of the Bring-Jerrard quintic form

Original language description

The Bring-Jerrard normal form, achieved by Tschirnhaus transformation of a regular quintic, is a reduced type of the general quintic equation with quartic, cubic and quadratic terms omitted. However, the form itself is an equation opposing the mandatory characteristics of the iterative chaotic maps. Given the form represents the fixed-point equations, it is possible to turn it into a map of iterations. Under specific conditions, the quartic map achieved by transformation from the quintic normal form exhibits chaotic behavior for real numbers. Depending on the system parameters, the new map causes period-doubling until a complete chaos within a very short range. Basically, in this paper, we present a new one-dimensional chaotic map derived from the Hermite-Kronecker-Brioschi characterization of the Bring-Jerrard normal form, which exhibits chaotic behavior for negative initial points. We also included the brief analysis of the Bring-Jerrard generalized case which is the parent system of the chaotic map we proposed in this paper. © 2023 IOP Publishing Ltd.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

—

OECD FORD branch

10308 - Astronomy (including astrophysics,space science)

Project

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Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2023

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Physica scripta

ISSN

0031-8949

e-ISSN

1402-4896

Volume of the periodical

98

Issue of the periodical within the volume

9

Country of publishing house

GB - UNITED KINGDOM

Number of pages

14

Pages from-to

"Article number: 095245"

UT code for WoS article

001053340300001

EID of the result in the Scopus database

2-s2.0-85169618925