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Mathematics
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Chaotic Systems and Their Applications, 2nd Edition
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Chaotic Systems and Their Applications, 2nd Edition

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Dynamical Systems".

Deadline for manuscript submissions: 31 August 2024 | Viewed by 975

Special Issue Editors

Prof. Dr. Chunhua Wang

E-Mail Website
Guest Editor
College of Computer Science and Electronic Engineering, Hunan University, Changsha 410082, China
Interests: fractional-order systems; chaotic circuits; memristor-based chaos; neural networks; neural networks and brain-inspired computing; chaotic image encryption
Special Issues, Collections and Topics in MDPI journals
Dr. Hairong Lin

E-Mail Website
Guest Editor
College of Computer Science and Electronic Engineering, Hunan University, Changsha, China
Interests: memristor; memristive neural networks; chaotic system and circuit; image encryption; neuromorphic engineering
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

We invite you to submit your latest theoretical and applied research in the field of chaos to the Special Issue entitled “Chaotic Systems and Their Applications, 2nd Edition”. The aim of the Special Issue is to promote the development and application of chaos theory in the areas of mathematics, physics, computer, information, economics, engineering, artificial intelligence, and so on. Any innovative study of theoretical and applied developments in chaos is highly welcome. In addition, research papers that focus on new chaos phenomena, constructing new chaotic systems, and proposing new chaos applications are also welcome. We are looking forward to receiving research manuscripts on chaos, chaotic systems, memristor, neural networks, bifurcation, nonlinear dynamics, synchronous control, equilibrium points, stability, nonlinear circuits, complex systems, fractional-order systems, and chaos-based applications. Note that appications are not limited to the topics mentioned.

Prof. Dr. Chunhua Wang
Dr. Hairong Lin
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. Mathematics is an international peer-reviewed open access semimonthly 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.

Published Papers (1 paper)

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Research

16 pages, 2990 KiB  
Article
On Chaos and Complexity Analysis for a New Sine-Based Memristor Map with Commensurate and Incommensurate Fractional Orders
by Tareq Hamadneh, Abderrahmane Abbes, Hassan Al-Tarawneh, Gharib Mousa Gharib, Wael Mahmoud Mohammad Salameh, Maha S. Al Soudi and Adel Ouannas
Mathematics 2023, 11(20), 4308; https://doi.org/10.3390/math11204308 - 16 Oct 2023
Cited by 2 | Viewed by 764
Abstract
In this study, we expand a 2D sine map via adding the discrete memristor to introduce a new 3D fractional-order sine-based memristor map. Under commensurate and incommensurate orders, we conduct an extensive exploration and analysis of its nonlinear dynamic behaviors, employing diverse numerical [...] Read more.
In this study, we expand a 2D sine map via adding the discrete memristor to introduce a new 3D fractional-order sine-based memristor map. Under commensurate and incommensurate orders, we conduct an extensive exploration and analysis of its nonlinear dynamic behaviors, employing diverse numerical techniques, such as analyzing Lyapunov exponents, visualizing phase portraits, and plotting bifurcation diagrams. The results emphasize the sine-based memristor map’s sensitivity to fractional-order parameters, resulting in the emergence of distinct and diverse dynamic patterns. In addition, we employ the sample entropy (SampEn) method and C0 complexity to quantitatively measure complexity, and we also utilize the 0–1 test to validate the presence of chaos in the proposed fractional-order sine-based memristor map. Finally, MATLAB simulations are be executed to confirm the results provided. Full article
(This article belongs to the Special Issue Chaotic Systems and Their Applications, 2nd Edition)
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