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: closed (30 April 2024) | Viewed by 2159
Special Issue Editors
Interests: chaos theory; chaotic cryptography; fractional dynamics; mathematical software; adaptive learning
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
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Keywords
- chaos theory
- control
- encryption
- fractional calculus
- modeling
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