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

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10308 - Astronomy (including astrophysics,space science)

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2023

Kód důvěrnosti údajů

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

Název periodika

Physica scripta

ISSN

0031-8949

e-ISSN

1402-4896

Svazek periodika

98

Číslo periodika v rámci svazku

9

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

14

Strana od-do

"Article number: 095245"

Kód UT WoS článku

001053340300001

EID výsledku v databázi Scopus

2-s2.0-85169618925