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  • Article
  • Open Access
4 Citations
1,718 Views
27 Pages

An Improved Multi-Chaotic Public Key Algorithm Based on Chebyshev Polynomials

  • Chunfu Zhang,
  • Jing Bai,
  • Yanchun Liang,
  • Adriano Tavares and ,
  • Lidong Wang,
  • Tiago Gomes and
  • Sandro Pinto
  • + 2 authors+ 0 author

2 September 2024

Due to the similar characteristics of chaotic systems and cryptography, public key encryption algorithms based on chaotic systems are worth in-depth research and have high value for the future. Chebyshev polynomials have good properties and are often...

  • Article
  • Open Access
1 Citations
1,881 Views
17 Pages

Chebyshev polynomials define a rather canonical chaotic cryptosystem and some strong attacks have been designed to that cryptosystem. We report the numerical experiments performed with multiple precision arithmetic using conventional software as gmp...

  • Article
  • Open Access
9 Citations
3,550 Views
16 Pages

26 September 2020

In this paper, the problem of constructing the measurement matrix in compressed sensing is addressed. In compressed sensing, constructing a measurement matrix of good performance and easy hardware implementation is of interest. It has been recently s...

(This article belongs to the Special Issue Information Theoretic Signal Processing and Learning)
  • Article
  • Open Access
16 Citations
3,527 Views
22 Pages

Chaotic Compressive Spectrum Sensing Based on Chebyshev Map for Cognitive Radio Networks

  • Salma Benazzouza,
  • Mohammed Ridouani,
  • Fatima Salahdine and
  • Aawatif Hayar

7 March 2021

Recently, the chaotic compressive sensing paradigm has been widely used in many areas, due to its ability to reduce data acquisition time with high security. For cognitive radio networks (CRNs), this mechanism aims at detecting the spectrum holes bas...

  • Article
  • Open Access
7 Citations
2,448 Views
27 Pages

A Lightweight Authentication Method for Industrial Internet of Things Based on Blockchain and Chebyshev Chaotic Maps

  • Zhonghao Zhai,
  • Junyi Liu,
  • Xinying Liu,
  • Yanqin Mao and ,
  • Xinjun Zhang,
  • Jialin Ma and
  • Chunhua Jin
  • + 2 authors+ 0 author

The Industrial Internet of Things (IIoT), a key enabler of Industry 4.0, integrates advanced communication technologies with the industrial economy to enable intelligent manufacturing and interconnected systems. Secure and reliable identity authentic...

(This article belongs to the Section Internet of Things)
  • Article
  • Open Access
6 Citations
3,272 Views
18 Pages

A Provably Secure IBE Transformation Model for PKC Using Conformable Chebyshev Chaotic Maps under Human-Centered IoT Environments

  • Chandrashekhar Meshram,
  • Agbotiname Lucky Imoize,
  • Amer Aljaedi,
  • Adel R. Alharbi and ,
  • Sajjad Shaukat Jamal and
  • Sharad Kumar Barve
  • + 1 author+ 0 author

30 October 2021

The place of public key cryptography (PKC) in guaranteeing the security of wireless networks under human-centered IoT environments cannot be overemphasized. PKC uses the idea of paired keys that are mathematically dependent but independent in practic...

(This article belongs to the Special Issue Intelligence, Security, Trust and Privacy Advances in IoT, Bigdata and 5G Networks)
  • Article
  • Open Access
11 Citations
3,167 Views
20 Pages

27 April 2023

One of the most frequently used signaling techniques for initiating, sustaining, and dismissing sessions on the internet is a session initiation protocol (SIP). Currently, SIPs are gaining widespread applications in the human-centered Internet of Thi...

(This article belongs to the Special Issue Chaos-Based Secure Communication and Cryptography)
  • Article
  • Open Access
12 Citations
2,927 Views
14 Pages

13 August 2023

To improve the randomness of the Chebyshev chaotic sequences by coupling the Logistic map and the Chebyshev map, a new one-dimensional Logistic–Chebyshev chaotic map (LCCM) is first presented in this paper. Several tests, including the bifurcat...

(This article belongs to the Section Information Security and Privacy)
  • Article
  • Open Access
28 Citations
3,371 Views
16 Pages

Modelling of Chaotic Processes with Caputo Fractional Order Derivative

  • Kolade M. Owolabi,
  • José Francisco Gómez-Aguilar,
  • G. Fernández-Anaya,
  • J. E. Lavín-Delgado and
  • E. Hernández-Castillo

14 September 2020

Chaotic dynamical systems are studied in this paper. In the models, integer order time derivatives are replaced with the Caputo fractional order counterparts. A Chebyshev spectral method is presented for the numerical approximation. In each of the sy...

(This article belongs to the Section Complexity)
  • Article
  • Open Access
2 Citations
1,228 Views
24 Pages

21 July 2025

In this paper, an exponential delay feedback method is proposed to improve the performance of the digital chaotic maps against their dynamical degradation. In this paper, the performance of the scheme is verified using one-dimensional linear, exponen...

(This article belongs to the Special Issue Chaos-Based Secure Communication and Cryptography, 2nd Edition)
  • Article
  • Open Access
5 Citations
8,023 Views
31 Pages

The Quantum Double Delta Swarm (QDDS) Algorithm is a networked, fully-connected novel metaheuristic optimization algorithm inspired by the convergence mechanism to the center of potential generated within a single well of a spatially colocated double...

(This article belongs to the Section Big Data, Computing and Artificial Intelligence)
  • Article
  • Open Access
42 Citations
3,337 Views
17 Pages

Chebyshev Polynomial-Based Scheme for Resisting Side-Channel Attacks in 5G-Enabled Vehicular Networks

  • Mahmood A. Al-Shareeda,
  • Selvakumar Manickam,
  • Badiea Abdulkarem Mohammed,
  • Zeyad Ghaleb Al-Mekhlafi and ,
  • Amjad Qtaish,
  • Abdullah J. Alzahrani,
  • Gharbi Alshammari,
  • Amer A. Sallam and
  • Khalil Almekhlafi
  • + 4 authors+ 0 author

10 June 2022

The privacy and security vulnerabilities in fifth-generation (5G)-enabled vehicular networks are often required to cope with schemes based on either bilinear pair cryptography (BPC) or elliptic curve cryptography (ECC). Nevertheless, these schemes su...

(This article belongs to the Section Transportation and Future Mobility)
  • Article
  • Open Access
73 Citations
3,601 Views
16 Pages

CM-CPPA: Chaotic Map-Based Conditional Privacy-Preserving Authentication Scheme in 5G-Enabled Vehicular Networks

  • Mahmood A. Al-Shareeda,
  • Selvakumar Manickam,
  • Badiea Abdulkarem Mohammed,
  • Zeyad Ghaleb Al-Mekhlafi and ,
  • Amjad Qtaish,
  • Abdullah J. Alzahrani,
  • Gharbi Alshammari,
  • Amer A. Sallam and
  • Khalil Almekhlafi
  • + 4 authors+ 0 author

3 July 2022

The security and privacy concerns in vehicular communication are often faced with schemes depending on either elliptic curve (EC) or bilinear pair (BP) cryptographies. However, the operations used by BP and EC are time-consuming and more complicated....

(This article belongs to the Section Communications)
  • Article
  • Open Access
2 Citations
5,214 Views
14 Pages

5 March 2018

In cognitive radio networks (CRNs), improving system utility and ensuring system fairness are two important issues. In this paper, we propose a spectrum allocation model to construct CRNs based on graph coloring theory, which contains three classes o...

  • Article
  • Open Access
21 Citations
2,934 Views
23 Pages

23 September 2022

Parameter identification is an important method to establish the governing system of a pumped storage unit. Appropriate parameters will make the governing system obtain better control performance. Therefore, in this study, an improved artificial humm...

(This article belongs to the Topic Hydroelectric Power)
  • Article
  • Open Access
35 Citations
3,429 Views
18 Pages

27 July 2022

Copyright protection of medical images is a vital goal in the era of smart healthcare systems. In recent telemedicine applications, medical images are sensed using medical imaging devices and transmitted to remote places for screening by physicians a...

(This article belongs to the Section Sensing and Imaging)
  • Article
  • Open Access
2 Citations
1,314 Views
25 Pages

Improved Superb Fairy-Wren Optimization Algorithm and Its Application

  • Yachao Cao,
  • Hexuan Lv,
  • Yanping Cui,
  • Zhe Wu and
  • Qiang Zhang

The Superb Fairy-wren Optimization Algorithm (SFOA) is a meta-heuristic algorithm inspired by the behavior of the superb fairy-wren. However, the conventional SFOA tends to converge to local optima and exhibits limited convergence accuracy when addre...

(This article belongs to the Section Biological Optimisation and Management)
  • Article
  • Open Access
7 Citations
1,693 Views
21 Pages

In a distributed wireless sensor network (DWSN), sensors continuously perceive the environment, collect data, and transmit it to remote users through the network so as to realize real-time monitoring of the environment or specific targets. However, g...

(This article belongs to the Special Issue Emerging Distributed/Parallel Computing Systems)
  • Article
  • Open Access
1,608 Views
54 Pages

25 February 2025

Forest canopy image is a necessary technical means to obtain canopy parameters, whereas image segmentation is an essential factor that affects the accurate extraction of canopy parameters. To address the limitations of forest canopy image mis-segment...

(This article belongs to the Section Forest Inventory, Modeling and Remote Sensing)
  • Article
  • Open Access
6 Citations
3,970 Views
29 Pages

2 September 2024

The availability of a higher resolution fine spectral bandwidth in hyperspectral images (HSI) makes it easier to identify objects of interest in them. The inclusion of noise into the resulting collection of images is a limitation of HSI and has an ad...

(This article belongs to the Special Issue Image Processing and Analysis: Trends in Registration, Data Fusion, 3D Reconstruction, and Change Detection (Third Edition))
  • Article
  • Open Access
5 Citations
2,387 Views
20 Pages

Augmented reality (AR) is a virtual technology that integrates virtual information and objects into real environments, offering unprecedented possibilities in such fields such as architecture, education, and healthcare. Real-time communication and se...

(This article belongs to the Special Issue Novel Methods Applied to Security and Privacy Problems)
  • Article
  • Open Access
15 Citations
2,884 Views
24 Pages

30 July 2024

Symmetries and symmetry-breaking play significant roles in data security. While remote sensing images, being extremely sensitive geospatial data, require protection against tampering or destruction, as well as assurance of the reliability of the data...

(This article belongs to the Special Issue Symmetries and Symmetry-Breaking in Data Security)
  • Article
  • Open Access
17 Citations
3,702 Views
16 Pages

RIS-Enabled Secret Key Generation for Secured Vehicular Communication in the Presence of Denial-of-Service Attacks

  • Mahmoud A. Shawky,
  • Syed Tariq Shah,
  • Qammer H. Abbasi,
  • Mohamed Hussein and ,
  • Muhammad A. Imran,
  • Syed Faraz Hasan,
  • Shuja Ansari and
  • Ahmad Taha
  • + 3 authors+ 0 author

19 April 2023

Wireless communication has become an integral part of modern vehicles. However, securing the information exchanged between interconnected terminals poses a significant challenge. Effective security solutions should be computationally inexpensive, ult...

(This article belongs to the Special Issue Security and Communication Networks)
  • Article
  • Open Access
4 Citations
3,001 Views
23 Pages

An Innovative NOx Emissions Prediction Model Based on Random Forest Feature Selection and Evolutionary Reformer

  • Xianyu Meng,
  • Xi Li,
  • Jialei Chen,
  • Yongyan Fu and ,
  • Chu Zhang,
  • Muhammad Shahzad Nazir and
  • Tian Peng
  • + 2 authors+ 0 author

3 January 2025

Developing more precise NOx emission prediction models is pivotal for effectively controlling NOx emissions from gas turbines. In this paper, a Reformer is combined with random forest (RF) feature selection and the chaos game optimization (CGO) algor...

(This article belongs to the Special Issue Advances in Process Systems Engineering: Selected Papers from China PSE Annual Meeting)
  • Article
  • Open Access
456 Views
20 Pages

13 May 2026

Because smart microgrids can flexibly integrate distributed energy resources and support grid-connected and islanded operation modes, they enhance power supply reliability and promote the efficient utilization of renewable energy. However, the open c...

(This article belongs to the Section A: Computer Science)
  • Article
  • Open Access
3,123 Views
49 Pages

23 September 2026

Remote sensing (RS) images transmitted through distributed satellite, UAV, and sensor networks are vulnerable to interception and misuse, while conventional encryption may reduce the effectiveness of downstream image classification. This paper propos...

  • Article
  • Open Access
34 Citations
4,131 Views
23 Pages

14 February 2022

Many image encryption schemes based on compressive sensing have poor reconstructed image quality when the compression ratio is low, as well as difficulty in hardware implementation. To address these problems, we propose an image encryption algorithm...

  • Article
  • Open Access
25 Citations
4,591 Views
15 Pages

An Improved Public Key Cryptographic Algorithm Based on Chebyshev Polynomials and RSA

  • Chunfu Zhang,
  • Yanchun Liang,
  • Adriano Tavares,
  • Lidong Wang and ,
  • Tiago Gomes and
  • Sandro Pinto
  • + 1 author+ 0 author

21 February 2024

Due to its very desirable properties, Chebyshev polynomials are often used in the design of public key cryptographic systems. This paper discretizes the Chebyshev mapping, generalizes the properties of Chebyshev polynomials, and proposes an improved...

  • Article
  • Open Access
39 Citations
5,726 Views
18 Pages

5 November 2023

Image encryption based on chaotic maps is an important method for ensuring the secure communication of digital multimedia on the Internet. To improve the encryption performance and security of image encryption systems, a new image encryption algorith...

(This article belongs to the Section Information Theory, Probability and Statistics)
  • Feature Paper
  • Article
  • Open Access
24 Citations
5,604 Views
20 Pages

23 February 2023

Electronically protected health information is held in computerized healthcare records that contain complete healthcare information and are easily shareable or retrieved by various health care providers via the Internet. The two most important concer...

(This article belongs to the Section Computer Science & Engineering)
  • Article
  • Open Access
20 Citations
5,566 Views
26 Pages

Design, Hardware Implementation on FPGA and Performance Analysis of Three Chaos-Based Stream Ciphers

  • Fethi Dridi,
  • Safwan El Assad,
  • Wajih El Hadj Youssef and
  • Mohsen Machhout

In this paper, we come up with three secure chaos-based stream ciphers, implemented on an FPGA board, for data confidentiality and integrity. To do so, first, we performed the statistical security and hardware metrics of certain discrete chaotic map...

(This article belongs to the Section Engineering)
  • Article
  • Open Access
41 Citations
5,913 Views
19 Pages

The Design and FPGA-Based Implementation of a Stream Cipher Based on a Secure Chaotic Generator

  • Fethi Dridi,
  • Safwan El Assad,
  • Wajih El Hadj Youssef,
  • Mohsen Machhout and
  • René Lozi

11 January 2021

In this study, with an FPGA-board using VHDL, we designed a secure chaos-based stream cipher (SCbSC), and we evaluated its hardware implementation performance in terms of computational complexity and its security. The fundamental element of the syste...

(This article belongs to the Special Issue Cryptography and Its Applications in Information Security)
  • Article
  • Open Access
79 Citations
3,173 Views
26 Pages

10 April 2023

In many disciplines, including pattern recognition, data mining, machine learning, image analysis, and bioinformatics, data clustering is a common analytical tool for data statistics. The majority of conventional clustering techniques are slow to con...

(This article belongs to the Section A: Computer Science)
  • Article
  • Open Access
25 Citations
3,929 Views
30 Pages

A Chaotic Krill Herd Optimization Algorithm for Global Numerical Estimation of the Attraction Domain for Nonlinear Systems

  • Messaoud Aloui,
  • Faiçal Hamidi,
  • Houssem Jerbi,
  • Mohamed Omri and ,
  • Dumitru Popescu and
  • Rabeh Abbassi
  • + 1 author+ 0 author

23 July 2021

Nowadays, solving constrained engineering problems related to optimization approaches is an attractive research topic. The chaotic krill herd approach is considered as one of most advanced optimization techniques. An advanced hybrid technique is expl...

(This article belongs to the Special Issue Automatic Control and Soft Computing in Engineering)
  • Feature Paper
  • Article
  • Open Access
10 Citations
4,669 Views
10 Pages

Chaotic Jaya Approaches to Solving Electromagnetic Optimization Benchmark Problems

  • Leandro dos S. Coelho,
  • Viviana C. Mariani,
  • Sotirios K. Goudos,
  • Achilles D. Boursianis and ,
  • Konstantinos Kokkinidis and
  • Nikolaos V. Kantartzis
  • + 1 author+ 0 author

2 June 2021

The Jaya optimization algorithm is a simple, fast, robust, and powerful population-based stochastic metaheuristic that in recent years has been successfully applied in a variety of global optimization problems in various application fields. The essen...

  • Article
  • Open Access
13 Citations
2,769 Views
18 Pages

29 December 2022

A hydraulic generator regulating system with electrical, mechanical, and hydraulic constitution is a complex nonlinear system, which is analyzed in this research. In the present study, the dynamical behavior of this system is investigated. Afterward,...

(This article belongs to the Special Issue Analysis and Mathematical Modeling of Control Engineering and Path Planning)
  • Article
  • Open Access
7 Citations
2,021 Views
19 Pages

25 December 2023

To support more complex and robust online services, enterprise-class applications prefer to interconnect multiple servers as the pedestal to enhance the system’s interoperability. However, the multiserver architecture always struggles to reconc...

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Article
  • Open Access
5 Citations
3,375 Views
21 Pages

3 June 2022

Background: The US government has enacted the Health Insurance Portability and Accountability Act (HIPAA), in which patient control over electronic protected health information is a major issue of concern. The two main goals of the Act are the privac...

(This article belongs to the Special Issue Recent Advances in Cybersecurity and Computer Networks)
  • Article
  • Open Access
9 Citations
2,608 Views
16 Pages

27 June 2024

To reduce the impact of the cold chain logistics center layout on economic benefits, operating efficiency and carbon emissions, a layout optimization method is proposed based on the improved dung beetle algorithm. Firstly, based on the analysis of th...

(This article belongs to the Special Issue Symmetry: Recent Developments in Engineering Science and Applications)
  • Article
  • Open Access
8 Citations
4,374 Views
25 Pages

Chebyshev Pseudospectral Method for Fractional Differential Equations in Non-Overlapping Partitioned Domains

  • Shina Daniel Oloniiju,
  • Nancy Mukwevho,
  • Yusuf Olatunji Tijani and
  • Olumuyiwa Otegbeye

2 August 2024

Fractional differential operators are inherently non-local, so global methods, such as spectral methods, are well suited for handling these non-local operators. Long-time integration of differential models such as chaotic dynamical systems poses spec...

(This article belongs to the Topic Fractional Calculus, Symmetry Phenomenon and Probability Theory for PDEs, and ODEs)
  • Article
  • Open Access
4 Citations
1,684 Views
37 Pages

A Hyperspectral Remote Sensing Image Encryption Algorithm Based on a Novel Two-Dimensional Hyperchaotic Map

  • Zongyue Bai,
  • Qingzhan Zhao,
  • Wenzhong Tian,
  • Xuewen Wang and ,
  • Jingyang Li and
  • Yuzhen Wu
  • + 1 author+ 0 author

30 October 2025

With the rapid advancement of hyperspectral remote sensing technology, the security of hyperspectral images (HSIs) has become a critical concern. However, traditional image encryption methods—designed primarily for grayscale or RGB images&mdash...

(This article belongs to the Section Signal and Data Analysis)
  • Article
  • Open Access
330 Views
25 Pages

A Rolling Bearing Fault Diagnosis Method Based on ICEEMDAN and AHO−SVM

  • Liping Wang,
  • Yaozheng Zhao,
  • Yan Chen and
  • Guangyong Xi

19 July 2026

To address the issues of rolling bearing fault vibration signals being susceptible to noise interference and the support vector machine (SVM) relying on manual parameter settings, this paper proposes a fault diagnosis method based on ICEEMDAN and AIH...

(This article belongs to the Special Issue Advanced Fault Diagnosis Using Interpretable, Multimodal and Transfer Learning Techniques)
  • Article
  • Open Access
7 Citations
2,767 Views
14 Pages

25 October 2021

In the stage of modelling, measuring, mechanical processing and manufacturing of the nonlinear energy harvesting system, deviations and errors of system parameters are inevitable. Even slight variation of key parameters may have a significant influen...

(This article belongs to the Special Issue Vibration Control and Applications)
  • Article
  • Open Access
6 Citations
1,765 Views
19 Pages

31 October 2024

Wireless Sensor Networks (WSNs) are rapidly being integrated into various fields, significantly impacting and facilitating many aspects of human life. However, the increasingly prominent security issues associated with WSNs have become a significant...

(This article belongs to the Section Microwave and Wireless Communications)
  • Article
  • Open Access
665 Views
29 Pages

15 April 2026

With the rapid maturation of autonomous driving technology, the hybrid traffic of Internal Container Trucks (ICTs) and External Container Trucks (ECTs) has become a major trend in Automated Container Terminals (ACTs), imposing higher demands on the i...

  • Article
  • Open Access
2 Citations
757 Views
32 Pages

A Hybrid Intelligent Fault Diagnosis Framework for Rolling Bearings and Gears Based on BAYES-ICEEMDAN-SNR Feature Enhancement and ITOC-LSSVM

  • Xiaoxu He,
  • Xingwei Ge,
  • Zhe Wu,
  • Qiang Zhang and ,
  • Yiying Yang and
  • Yachao Cao
  • + 1 author+ 0 author

28 February 2026

To address the challenges of difficult feature extraction for rolling bearing vibration signals, low efficiency in optimizing diagnostic model parameters, and the tendency to get trapped in local optima, this paper proposes an improved ICEEMDAN featu...

(This article belongs to the Section Fault Diagnosis & Sensors)
  • Article
  • Open Access
22 Citations
3,464 Views
16 Pages

Session-Dependent Token-Based Payload Enciphering Scheme for Integrity Enhancements in Wireless Networks

  • Zaid Ameen Abduljabbar,
  • Vincent Omollo Nyangaresi,
  • Mustafa A. Al Sibahee,
  • Mudhafar Jalil Jassim Ghrabat and ,
  • Junchao Ma,
  • Iman Qays Abduljaleel and
  • Abdulla J. Y. Aldarwish
  • + 2 authors+ 0 author

Wireless networks have continued to evolve to offer connectivity between users and smart devices such as drones and wireless sensor nodes. In this environment, insecure public channels are deployed to link the users to their remote smart devices. Som...

(This article belongs to the Section Network Services and Applications)
  • Article
  • Open Access
3 Citations
908 Views
34 Pages

Vibration Signal Denoising Method Based on ICFO-SVMD and Improved Wavelet Thresholding

  • Yanping Cui,
  • Xiaoxu He,
  • Zhe Wu,
  • Qiang Zhang and
  • Yachao Cao

22 January 2026

Non-stationary, multi-component vibration signals in rotating machinery are easily contaminated by strong background noise, which masks weak fault features and degrades diagnostic reliability. This paper proposes a joint denoising method that combine...

(This article belongs to the Section Industrial Sensors)
  • Article
  • Open Access
9 Citations
3,229 Views
25 Pages

22 April 2024

In order to realize the accurate and reliable fault diagnosis of hydraulic systems, a diagnostic model based on improved tuna swarm optimization (ITSO), optimized convolutional neural networks (CNNs), and bi-directional long short-term memory (BiLSTM...

(This article belongs to the Section Fault Diagnosis & Sensors)
  • Article
  • Open Access
25 Citations
1,917 Views
15 Pages

13 December 2024

Accurate fault diagnosis of transformers is crucial for preventing power system failures and ensuring the continued reliability of electrical grids. To address the challenge of low accuracy in transformer fault diagnosis using support vector machines...

(This article belongs to the Section F4: Critical Energy Infrastructure)

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