The dynamic analysis of discrete fractional-order two-gene map

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18450%2F23%3A50020569" target="_blank" >RIV/62690094:18450/23:50020569 - isvavai.cz</a>

Výsledek na webu

<a href="https://link.springer.com/article/10.1140/epjs/s11734-023-00912-7" target="_blank" >https://link.springer.com/article/10.1140/epjs/s11734-023-00912-7</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1140/epjs/s11734-023-00912-7" target="_blank" >10.1140/epjs/s11734-023-00912-7</a>

Jazyk výsledku

angličtina

Název v původním jazyce

The dynamic analysis of discrete fractional-order two-gene map

Popis výsledku v původním jazyce

The evolutionary processes are based on information transmission by nervous systems and inheritance by genes in DNA. Various continuous and discrete mathematical models have been presented for genes. Discrete gene models are particularly interesting due to their simple analysis and low computational costs. It is imperative to create genetic factors based on gene models that depend on the past. This paper proposes a discrete fractional-order two-gene map model. At first, the gene map is evaluated using the phase plane, bifurcation diagram, and Lyapunov exponent, and the periodic and chaotic behaviors of the system are shown. Then, the fractional-order gene map model is introduced. The system’s dynamic behaviors are investigated using bifurcation diagrams according to system parameters and derivative order. It is shown that increasing the value of the fractional order increases complexity, leading to chaotic behavior in the model. While decreasing the fractional derivative order mostly changes the dynamics to periodic. Finally, the synchronization of two two-gene maps with discrete fractional order is investigated using the electrical connection. The results show that in contrast to the integer-order model, the fractional-order model can reach synchronization. © 2023, The Author(s).

Název v anglickém jazyce

The dynamic analysis of discrete fractional-order two-gene map

Popis výsledku anglicky

The evolutionary processes are based on information transmission by nervous systems and inheritance by genes in DNA. Various continuous and discrete mathematical models have been presented for genes. Discrete gene models are particularly interesting due to their simple analysis and low computational costs. It is imperative to create genetic factors based on gene models that depend on the past. This paper proposes a discrete fractional-order two-gene map model. At first, the gene map is evaluated using the phase plane, bifurcation diagram, and Lyapunov exponent, and the periodic and chaotic behaviors of the system are shown. Then, the fractional-order gene map model is introduced. The system’s dynamic behaviors are investigated using bifurcation diagrams according to system parameters and derivative order. It is shown that increasing the value of the fractional order increases complexity, leading to chaotic behavior in the model. While decreasing the fractional derivative order mostly changes the dynamics to periodic. Finally, the synchronization of two two-gene maps with discrete fractional order is investigated using the electrical connection. The results show that in contrast to the integer-order model, the fractional-order model can reach synchronization. © 2023, The Author(s).

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

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

European Physical Journal - Special Topics

ISSN

1951-6355

e-ISSN

1951-6401

Svazek periodika

232

Číslo periodika v rámci svazku

14-15

Stát vydavatele periodika

DE - Spolková republika Německo

Počet stran výsledku

13

Strana od-do

2445-2457

Kód UT WoS článku

001040899500002

EID výsledku v databázi Scopus

2-s2.0-85166314818