Dynamical patterns in stochastic ρ4 equation: An analysis of quasi-periodic, bifurcation, chaotic behavior

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27740%2F25%3A10255722" target="_blank" >RIV/61989100:27740/25:10255722 - isvavai.cz</a>

Výsledek na webu

<a href="https://www.worldscientific.com/doi/epdf/10.1142/S0219887824503201" target="_blank" >https://www.worldscientific.com/doi/epdf/10.1142/S0219887824503201</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1142/S0219887824503201" target="_blank" >10.1142/S0219887824503201</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Dynamical patterns in stochastic ρ4 equation: An analysis of quasi-periodic, bifurcation, chaotic behavior

Popis výsledku v původním jazyce

The stochastic dynamical rho 4 equation is utilized as a robust framework for modeling the behavior of complex systems characterized by randomness and nonlinearity, with applications spanning various scientific fields. The aim of this paper is to employ an analytical method to identify stochastic traveling wave solutions of the dynamical rho 4 equation. Novel hyperbolic and rational functions are investigated through this method. A Galilean transformation is applied to reformulate the model into a planar dynamical system, which enables a comprehensive qualitative analysis. Additionally, the emergence of chaotic and quasi-periodic patterns following the introduction of a perturbation term is addressed. Simulation results indicate that significant changes in the systems&apos; dynamic behavior are caused by adjusting the amplitude and frequency parameters. Our findings indicate the impact of the method on system dynamics and its efficacy in analyzing solitons and phase behavior in nonlinear models. These discoveries provide fresh perspectives on how the suggested method can lead to notable shifts in the systems&apos; dynamic behavior. The effectiveness and practicality of the proposed methodology in scrutinizing soliton solutions and phase visualizations across diverse nonlinear models are underscored by these revelations.

Název v anglickém jazyce

Dynamical patterns in stochastic ρ4 equation: An analysis of quasi-periodic, bifurcation, chaotic behavior

Popis výsledku anglicky

The stochastic dynamical rho 4 equation is utilized as a robust framework for modeling the behavior of complex systems characterized by randomness and nonlinearity, with applications spanning various scientific fields. The aim of this paper is to employ an analytical method to identify stochastic traveling wave solutions of the dynamical rho 4 equation. Novel hyperbolic and rational functions are investigated through this method. A Galilean transformation is applied to reformulate the model into a planar dynamical system, which enables a comprehensive qualitative analysis. Additionally, the emergence of chaotic and quasi-periodic patterns following the introduction of a perturbation term is addressed. Simulation results indicate that significant changes in the systems&apos; dynamic behavior are caused by adjusting the amplitude and frequency parameters. Our findings indicate the impact of the method on system dynamics and its efficacy in analyzing solitons and phase behavior in nonlinear models. These discoveries provide fresh perspectives on how the suggested method can lead to notable shifts in the systems&apos; dynamic behavior. The effectiveness and practicality of the proposed methodology in scrutinizing soliton solutions and phase visualizations across diverse nonlinear models are underscored by these revelations.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10100 - Mathematics

Projekt

—

Návaznosti

O - Projekt operacniho programu

Rok uplatnění

2025

Kód důvěrnosti údajů

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

Název periodika

International Journal of Geometric Methods in Modern Physics

ISSN

0219-8878

e-ISSN

1793-6977

Svazek periodika

22

Číslo periodika v rámci svazku

05

Stát vydavatele periodika

SG - Singapurská republika

Počet stran výsledku

22

Strana od-do

2450320

Kód UT WoS článku

001322531900003

EID výsledku v databázi Scopus

2-s2.0-85204721461