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Chaos and Complexity in Fractional Order Systems and Their Applications

A special issue of Entropy (ISSN 1099-4300). This special issue belongs to the section "Complexity".

Deadline for manuscript submissions: 30 April 2024 | Viewed by 1603

Special Issue Editors


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Guest Editor
Engineering Mathematics and Physics Department, Faculty of Engineering, Cairo University, Giza 12613, Egypt
Interests: chaos theory; chaotic cryptography; fractional dynamics; mathematical software; adaptive learning

E-Mail Website
Guest Editor
Electronics and Computer Engineering Program, School of Engineering and Applied Sciences, Nile University, Giza 12588, Egypt
Interests: fractional order circuits and systems; chaos theory and nonlinear systems; encryption; bio-impedance modelling; analog and digital memristive systems

Special Issue Information

Dear Colleagues,

Both fractional calculus and chaos theory have various applications in science and engineering. Fractional-order systems provide more realistic models and degrees of freedom in different applications than their integer counterparts. Chaotic behavior is advantageous for producing deterministic randomness with interesting characteristics and sensitivity to parameter variation and initial conditions. In recent decades, many numerical techniques and tools have been developed for solving and analyzing fractional-order systems. Specifically, fractional-order chaotic systems have been proposed, which exhibit complex behaviors, including multi-scroll and hidden attractors. Fractional-order chaotic systems have also been utilized in biological and financial modeling. Hence, the control and synchronization of such models have been widely investigated. Robotic motion control can also benefit from the advantages of fractional-order chaos. Many other applications, e.g., digital communication, data privacy, and encryption, require more degrees of freedom in the utilized randomness sources to enhance performance. Digital and analog realizations of fractional-order systems make them more amenable to real-life applications. This Special Issue focuses on recent and novel developments and achievements in fractional order systems, their chaotic behavior, analysis, realization, and applications.

Dr. Wafaa Sayed
Dr. Lobna A. Said
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Entropy is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • chaos theory
  • control
  • encryption
  • fractional calculus
  • modeling

Published Papers (1 paper)

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Research

12 pages, 9384 KiB  
Article
The Intricacies of Sprott-B System with Fractional-Order Derivatives: Dynamical Analysis, Synchronization, and Circuit Implementation
by Rending Lu, Prasina Alexander, Hayder Natiq, Anitha Karthikeyan, Sajad Jafari and Jiri Petrzela
Entropy 2023, 25(9), 1352; https://doi.org/10.3390/e25091352 - 17 Sep 2023
Viewed by 836
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 [...] Read more.
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. Full article
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