Publication result detail

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

LU, R.; ALEXANDER, P.; NATIQ, H.; KARTHIKEYAN, A.; SAJAD, J.; PETRŽELA, J.

Original Title

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

English Title

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

Type

WoS Article

Original Abstract

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.

English abstract

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.

Keywords

Sprott-B system; fractional order; dynamical analysis; circuit implementation

Key words in English

Sprott-B system; fractional order; dynamical analysis; circuit implementation

Authors

LU, R.; ALEXANDER, P.; NATIQ, H.; KARTHIKEYAN, A.; SAJAD, J.; PETRŽELA, J.

RIV year

2024

Released

17.09.2023

Publisher

MDPI

Location

Basel (Switzerland)

ISBN

1099-4300

Periodical

Entropy

Volume

25

Number

9

State

Swiss Confederation

Pages from

1

Pages to

12

Pages count

12

URL

https://www.mdpi.com/1099-4300/25/9/1352

Full text in the Digital Library

http://hdl.handle.net/11012/214458

BibTex

@article{BUT184639,
  author="Rending {Lu} and Prasina {Alexander} and Hayder {Natiq} and Anitha {Karthikeyan} and Jafari {Sajad} and Jiří {Petržela}",
  title="The intricacies of Sprott-B system with fractional-order derivatives: dynamical analysis, synchronization, and circuit implementation",
  journal="Entropy",
  year="2023",
  volume="25",
  number="9",
  pages="1--12",
  doi="10.3390/e25091352",
  url="https://www.mdpi.com/1099-4300/25/9/1352"
}

Documents

entropy-25-01352