The intricacies of Sprott-B system with fractional-order derivatives: dynamical analysis, synchronization, and circuit implementation

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F23%3APU148997" target="_blank" >RIV/00216305:26220/23:PU148997 - isvavai.cz</a>

Výsledek na webu

<a href="https://www.mdpi.com/1099-4300/25/9/1352" target="_blank" >https://www.mdpi.com/1099-4300/25/9/1352</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.3390/e25091352" target="_blank" >10.3390/e25091352</a>

Jazyk výsledku

angličtina

Název v původním jazyce

The intricacies of Sprott-B system with fractional-order derivatives: dynamical analysis, synchronization, and circuit implementation

Popis výsledku v původním jazyce

Studying simple chaotic systems with fractional-order derivatives improves modeling accuracy, increases complexity, and enhances control capabilities and robustness against noise. This paper investigates the dynamics of the simple Sprott-B chaotic system using fractional-order derivatives. This study involves a comprehensive dynamical analysis conducted through bifurcation diagrams, revealing the presence of coexisting attractors. Additionally, the synchronization behavior of the system is examined for various derivative orders. Finally, the integer-order and fractional-order electronic circuits are implemented to validate the theoretical findings. This research contributes to a deeper understanding of the Sprott-B system and its fractional-order dynamics, with potential applications in diverse fields such as chaos-based secure communications and nonlinear control systems.

Název v anglickém jazyce

The intricacies of Sprott-B system with fractional-order derivatives: dynamical analysis, synchronization, and circuit implementation

Popis výsledku anglicky

Studying simple chaotic systems with fractional-order derivatives improves modeling accuracy, increases complexity, and enhances control capabilities and robustness against noise. This paper investigates the dynamics of the simple Sprott-B chaotic system using fractional-order derivatives. This study involves a comprehensive dynamical analysis conducted through bifurcation diagrams, revealing the presence of coexisting attractors. Additionally, the synchronization behavior of the system is examined for various derivative orders. Finally, the integer-order and fractional-order electronic circuits are implemented to validate the theoretical findings. This research contributes to a deeper understanding of the Sprott-B system and its fractional-order dynamics, with potential applications in diverse fields such as chaos-based secure communications and nonlinear control systems.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

20205 - Automation and control systems

Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2023

Kód důvěrnosti údajů

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

Název periodika

ENTROPY

ISSN

1099-4300

e-ISSN

—

Svazek periodika

25

Číslo periodika v rámci svazku

9

Stát vydavatele periodika

CH - Švýcarská konfederace

Počet stran výsledku

12

Strana od-do

1-12

Kód UT WoS článku

001073580700001

EID výsledku v databázi Scopus

2-s2.0-85172185765