Recent Advances in Chaotic Systems and Their Security Applications

A special issue of Electronics (ISSN 2079-9292). This special issue belongs to the section "Circuit and Signal Processing".

Deadline for manuscript submissions: closed (31 October 2021) | Viewed by 15684

Special Issue Editors


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Laboratory of Nonlinear Systems, Circuits & Coplexity (LaNSCom), Department of Physics, Aristotle University of Thessaloniki, GR-54124 Thessaloniki, Greece
Interests: electrical and electronics engineering; mathematical modeling; control theory; engineering, applied and computational mathematics; numerical analysis; mathematical analysis; numerical modeling; modeling and simulation; robotics
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Guest Editor
Laboratory of Nonlinear Systems, Circuits & Complexity, Physics Department, Aristotle University of Thessaloniki, Thessaloniki 54124, Greece
Interests: chaos; control; observer design; cryptography
Special Issues, Collections and Topics in MDPI journals

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Youth Research Institute, Saint Petersburg Electrotechnical University “LETI”, 5, Professora Popova st., 197376 Saint Petersburg, Russia
Interests: numerical integration; symplectic integrators; symmetric methods; adaptive methods; chaotic systems; nonlinear dynamics
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Guest Editor
Engineering Mathematics and Physics Department, Faculty of Engineering, Cairo University, 12613 Giza, Egypt
Interests: fractional-order circuits and systems; bifurcation; chaos; memristor; encryption

Special Issue Information

Dear Colleagues,

Chaotic systems have long been integrated into security-related applications. Due to their deterministic nature, highly complex dynamics, and sensitivity to initial conditions and parameter changes, they constitute an efficient tool for masking information.

The aim of this Special Issue is to explore recent trends and developments in chaos-based encryption schemes. Contributions can address any type of chaotic system and all applications related to information masking and security. Review articles focused on specific applications or methods are also welcome.

Potential topics include but are not limited to the following:

  • Continuous, discrete time, and fractional order chaotic systems;
  • Different chaos synchronization and antisynchronization techniques;
  • Chaotic systems with hidden attractors;
  • Secure communications;
  • Signal encryption;
  • Random number generation;
  • Entropy-based cryptography;
  • Message authentication;
  • Digital signature;
  • Hardware implementations of encryption designs;
  • Any other security-related engineering application.

Dr. Christos Volos
Dr. Lazaros Moysis
Dr. Denis Butusov
Dr. Ahmed Radwan
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. Electronics 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 2400 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
  • nonlinear systems
  • chaotic cryptosystems
  • secure communications
  • random number generators

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Published Papers (6 papers)

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Research

17 pages, 4320 KiB  
Article
Correcting Errors in Color Image Encryption Algorithm Based on Fault Tolerance Technique
by Heba G. Mohamed, Fadwa Alrowais and Dalia H. ElKamchouchi
Electronics 2021, 10(23), 2890; https://doi.org/10.3390/electronics10232890 - 23 Nov 2021
Viewed by 1641
Abstract
Security standards have been raised through modern multimedia communications technology, which allows for enormous progress in security. Modern multimedia communication technologies are concerned with fault tolerance technique and information security. As a primary method, there is widespread use of image encryption to protect [...] Read more.
Security standards have been raised through modern multimedia communications technology, which allows for enormous progress in security. Modern multimedia communication technologies are concerned with fault tolerance technique and information security. As a primary method, there is widespread use of image encryption to protect image information security. Over the past few years, image encryption has paid more attention to combining DNA technologies in order to increase security. The objective here is to provide a new method for correcting color image encryption errors due to the uncertainty of DNA computing by using the fractional order hyperchaotic Lorenz system. To increase randomness, the proposed cryptosystem is applied to the three plain image channels: Red, Green, and Blue. Several methods were compared including the following: entropy, correlation, key sensitivity, key space, data loss attacks, speed computation, Number of Pixel changing rate (NPCR), and Unified Average Change Intensity randomness (UACI) tests. Consequently, the proposed scheme is very secure against a variety of cryptographic attacks. Full article
(This article belongs to the Special Issue Recent Advances in Chaotic Systems and Their Security Applications)
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17 pages, 8457 KiB  
Article
A New RBF Neural Network-Based Fault-Tolerant Active Control for Fractional Time-Delayed Systems
by Bo Wang, Hadi Jahanshahi, Christos Volos, Stelios Bekiros, Muhammad Altaf Khan, Praveen Agarwal and Ayman A. Aly
Electronics 2021, 10(12), 1501; https://doi.org/10.3390/electronics10121501 - 21 Jun 2021
Cited by 51 | Viewed by 2742
Abstract
Recently, intelligent control techniques have received considerable attention. In most studies, the systems’ model is assumed to be without any delay, and the effects of faults and failure in actuators are ignored. However, in real practice, sensor malfunctioning, mounting limitation, and defects in [...] Read more.
Recently, intelligent control techniques have received considerable attention. In most studies, the systems’ model is assumed to be without any delay, and the effects of faults and failure in actuators are ignored. However, in real practice, sensor malfunctioning, mounting limitation, and defects in actuators bring about faults, failure, delay, and disturbances. Consequently, applying controllers that do not consider these problems could significantly deteriorate controllers’ performance. In order to address this issue, in the current paper, we propose a new neural network-based fault-tolerant active control for fractional time-delayed systems. The neural network estimator is integrated with active control to compensate for all uncertainties and disturbances. The suggested method’s stability is achieved based on the concept of active control and the Lyapunov stability theorem. Then, a fractional-order memristor system is investigated, and some characteristics of this chaotic system are studied. Lastly, by applying the proposed control scheme, synchronization results of the fractional time-delayed memristor system in the presence of faults and uncertainties are studied. The simulation results suggest the effectiveness of the proposed control technique for uncertain time-delayed nonlinear systems. Full article
(This article belongs to the Special Issue Recent Advances in Chaotic Systems and Their Security Applications)
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19 pages, 26706 KiB  
Article
Efficient Chaos-Based Substitution-Box and Its Application to Image Encryption
by Ahmed A. Abd El-Latif, Bassem Abd-El-Atty, Akram Belazi and Abdullah M. Iliyasu
Electronics 2021, 10(12), 1392; https://doi.org/10.3390/electronics10121392 - 10 Jun 2021
Cited by 45 | Viewed by 3159
Abstract
Chaotic systems are vital in designing contemporary cryptographic systems. This study proposes an innovative method for constructing an effective substitution box using a 3-dimensional chaotic map. Moreover, bouyed by the efficiency of the proposed chaos-based substitution boxes’ effectiveness, we introduce a new chaos-based [...] Read more.
Chaotic systems are vital in designing contemporary cryptographic systems. This study proposes an innovative method for constructing an effective substitution box using a 3-dimensional chaotic map. Moreover, bouyed by the efficiency of the proposed chaos-based substitution boxes’ effectiveness, we introduce a new chaos-based image cryptosystem that combines the adeptness of Gray codes, a non-linear and sensitive hyper-chaotic system, and the proposed S-box. The generated secret key emanating from the cryptosystem is correlated to the input image to produce a unique key for each image. Extensive experimental outcomes demonstrate the utility, effectiveness, and high performance of the resulting cryptosystem. Full article
(This article belongs to the Special Issue Recent Advances in Chaotic Systems and Their Security Applications)
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14 pages, 8756 KiB  
Article
Impact of the Chaotic Synchronization’s Stability on the Performance of QCPSK Communication System
by Ruslans Babajans, Darja Cirjulina, Juris Grizans, Arturs Aboltins, Dmitrijs Pikulins, Maris Zeltins and Anna Litvinenko
Electronics 2021, 10(6), 640; https://doi.org/10.3390/electronics10060640 - 10 Mar 2021
Cited by 11 | Viewed by 1725
Abstract
The current work presents a study of the implementation of a quadrature chaos phase-shift keying communication system (QCPSK) based on the employment of different chaos oscillators. The research takes two directions, with one being the study of the chaos synchronization’s noise immunity for [...] Read more.
The current work presents a study of the implementation of a quadrature chaos phase-shift keying communication system (QCPSK) based on the employment of different chaos oscillators. The research takes two directions, with one being the study of the chaos synchronization’s noise immunity for several chaos oscillators that are the potential core blocks of the QCPSK system. The correlation coefficient over time is used to estimate the synchronization noise immunity. The second direction is the estimation of the QCPSK system’s baseband model performance in the AWGN propagation channel using the bit error ratio (BER) as the estimation method for several chaos oscillators employed as the core of the QCPSK system’s model. Full article
(This article belongs to the Special Issue Recent Advances in Chaotic Systems and Their Security Applications)
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11 pages, 2607 KiB  
Article
Dynamic Analysis of the Switched-Inductor Buck-Boost Converter Based on the Memristor
by Yan Yang, Dongdong Li and Dongqing Wang
Electronics 2021, 10(4), 452; https://doi.org/10.3390/electronics10040452 - 11 Feb 2021
Cited by 14 | Viewed by 2975
Abstract
The direct current (DC)–DC converter presents abundant nonlinear phenomena, such as periodic bifurcation and chaotic motion, under certain conditions. For a switched-inductor buck-boost (SIBB) converter with the memristive load, this paper constructs its state equation model under two operating statuses, investigates its chaotic [...] Read more.
The direct current (DC)–DC converter presents abundant nonlinear phenomena, such as periodic bifurcation and chaotic motion, under certain conditions. For a switched-inductor buck-boost (SIBB) converter with the memristive load, this paper constructs its state equation model under two operating statuses, investigates its chaotic dynamic characteristics, and draws and analyzes the bifurcation diagrams of the inductive current and phase portraits, under some parameter changing by the MATLAB simulation based on the state equation. Then, by applying certain minor perturbations to parameters, the chaotic phenomenon suppression method is explored by controlling peak current in continuous current mode (CCM) to keep the converter run normally. Finally, the power simulation (PSIM) verifies that the waveforms and the phase portraits controlling the corresponding parameters are consistent with those of the MATLAB simulation. Full article
(This article belongs to the Special Issue Recent Advances in Chaotic Systems and Their Security Applications)
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11 pages, 16126 KiB  
Article
On Dynamics of a Fractional-Order Discrete System with Only One Nonlinear Term and without Fixed Points
by Amina-Aicha Khennaoui, Adel Ouannas, Shaher Momani, Iqbal M. Batiha, Zohir Dibi and Giuseppe Grassi
Electronics 2020, 9(12), 2179; https://doi.org/10.3390/electronics9122179 - 18 Dec 2020
Cited by 9 | Viewed by 1720
Abstract
Dynamical systems described by fractional-order difference equations have only been recently introduced inthe literature. Referring to chaotic phenomena, the type of the so-called “self-excited attractors” has been so far highlighted among different types of attractors by several recently presented fractional-order discrete systems. Quite [...] Read more.
Dynamical systems described by fractional-order difference equations have only been recently introduced inthe literature. Referring to chaotic phenomena, the type of the so-called “self-excited attractors” has been so far highlighted among different types of attractors by several recently presented fractional-order discrete systems. Quite the opposite, the type of the so-called “hidden attractors”, which can be characteristically revealed through exploring the same aforementioned systems, is almost unexplored in the literature. In view of those considerations, the present work proposes a novel 3D chaotic discrete system able to generate hidden attractors for some fractional-order values formulated for difference equations. The map, which is characterized by the absence of fixed points, contains only one nonlinear term in its dynamic equations. An appearance of hidden attractors in their chaotic modes is confirmed through performing some computations related to the 0–1 test, largest Lyapunov exponent, approximate entropy, and the bifurcation diagrams. Finally, a new robust control law of one-dimension is conceived for stabilizing the newly established 3D fractional-order discrete system. Full article
(This article belongs to the Special Issue Recent Advances in Chaotic Systems and Their Security Applications)
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