Article
Mathematics, Interdisciplinary Applications
Chengwei Dong
Summary: This paper investigates the fundamental dynamics of a novel three-dimensional chaotic system with hidden attractors and coexisting attractors, and demonstrates its potential in engineering applications.
FRACTAL AND FRACTIONAL
(2022)
Article
Physics, Multidisciplinary
Xinying Li, Shaoze Sun, Zongkai Yang, Jinping Li
Summary: This paper combines a memristor with a chaotic system to construct a four-dimensional memristive chaotic system with infinite coexisting attractors. The system's dynamical behavior is thoroughly studied, revealing complex dynamics and the potential for practical engineering applications.
Article
Physics, Multidisciplinary
Q. Lai, C. Lai
Summary: This study investigates a new chaotic system based on the classical integer order jerk system, incorporating a non-linear component called the memristor. The dynamical properties of the proposed memristive system are analyzed using various methods, and it is found that the system can generate a variety of complex behaviors. Numerical analysis and hardware implementation both support the feasibility of the chaotic oscillator based on memristor.
INDIAN JOURNAL OF PHYSICS
(2022)
Article
Engineering, Mechanical
Haohui Gu, Chunbiao Li, Yongxin Li, Xizhai Ge, Tengfei Lei
Summary: A hyperchaotic map with various patterns of coexisting attractors is discovered by introducing trigonometric functions. The periodicity of trigonometric functions brings possibilities for attractor self-producing. By introducing orthorhombic feedback, various types of coexisting attractors are produced, and chaotic signals with desired properties can be obtained. These findings are further verified based on the STM32 platform.
NONLINEAR DYNAMICS
(2023)
Article
Mathematics, Interdisciplinary Applications
Jiahui Wang, Chengwei Dong, Hantao Li
Summary: The study of hidden attractors is crucial for the engineering applications of nonlinear dynamical systems. In this paper, a new three-dimensional chaotic system is proposed, and its dynamical behaviors are investigated. The practicality of the system is verified through circuit simulations.
FRACTAL AND FRACTIONAL
(2022)
Article
Engineering, Multidisciplinary
A. Othman Almatroud, Amina-Aicha Khennaoui, Adel Ouannas, Viet-Thanh Pham
Summary: This paper proposes a new 2D fractional map with the simplest algebraic structure reported to date and analyzes its dynamic properties. Results show the coexistence of various kinds of periodic, chaotic, and hyper-chaotic attractors.
INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION
(2023)
Article
Computer Science, Hardware & Architecture
Shaohui Yan, Jianjian Wang, Ertong Wang, Qiyu Wang, Xi Sun, Lin Li
Summary: This paper presents a new four-dimensional dissipative chaotic system with coexisting attractors and investigates its dynamic behaviors through numerical simulations. The results show that the system exhibits rich dynamics, and the polarity of the chaotic signal can be changed by the introduction of offset boosting control. The spectral entropy complexity is used to select the initial condition for synchronization, and a back-stepping controller is designed to achieve synchronization. The system is further simulated using Multisim and implemented on hardware using field programmable gate arrays (FPGA).
INTEGRATION-THE VLSI JOURNAL
(2023)
Article
Physics, Applied
Qiang Lai, Zhiqiang Wan, Paul Didier Kamdem Kuate, Hilaire Fotsin
Summary: This paper introduces a novel memristive hyperchaotic system with two equilibria and two symmetric hyperchaotic attractors. The dynamic behaviors of the system are studied through bifurcation analysis, and analog circuit design and experimental implementation are presented. Synchronization of the system is achieved using adaptive control technique, with sufficient conditions established through theoretical and numerical analysis.
MODERN PHYSICS LETTERS B
(2021)
Article
Computer Science, Information Systems
Junjie Wen, Yiran Feng, Xueheng Tao, Yinghong Cao
Summary: This paper introduces a new 5-D chaotic system with hidden attractor, analyzing its stability and special phenomena, verifying its engineering applications, and proposing an offset boosting control method. By numerical simulation and analyzing the complexity of SE and C-0, as well as simulating the system using DSP technology, the results align well with the numerical simulation results. Theoretical analysis and simulation show the system's complex dynamical characteristics for secure communication and image encryption applications.
Article
Mathematics, Interdisciplinary Applications
Chuanhong Du, Licai Liu, Zhengping Zhang, Shixing Yu
Summary: This paper presents a Wien-Bridge circuit designed based on a voltage-controlled memristor to achieve amplitude and offset boosting control of chaotic signals. The system exhibits both linear and nonlinear behaviors and coexisting symmetric attractors and bistability.
CHAOS SOLITONS & FRACTALS
(2022)
Article
Mathematics, Interdisciplinary Applications
Chengwei Dong, Jiahui Wang
Summary: This paper presents a four-dimensional (4D) novel hyperchaotic system and investigates its complex dynamical behaviors, including hidden chaotic and hyperchaotic attractors, as well as five types of coexisting attractors. The numerical verification is performed by analyzing phase diagrams, Poincare maps, the Lyapunov exponent spectrum, and its bifurcation diagram. The short unstable cycles in the hyperchaotic system are systematically explored via the variational method, and the symbol codings of the cycles with four letters are realized based on the topological properties. The bifurcations of the cycles are explored through a homotopy evolution approach, and the novel 4D system is implemented by an analog electronic circuit, which is consistent with the numerical simulation results.
FRACTAL AND FRACTIONAL
(2022)
Article
Physics, Multidisciplinary
Qin Ming-Hong, Lai Qiang, Wu Yong-Hong
Summary: This paper proposes a simple four-dimensional memristive chaotic system with an infinite number of coexisting attractors, which exhibits complex dynamical behavior. The system is further investigated through digital simulations and the results are consistent with the experimental findings, demonstrating the feasibility and existence of this memristive chaotic system.
ACTA PHYSICA SINICA
(2022)
Article
Physics, Applied
Xiaoxia Li, Chi Zheng, Xue Wang, Yingzi Cao, Guizhi Xu
Summary: This paper introduces a new four-dimensional chaotic system with symmetric coexisting bifurcation behaviors and four coexisting attractors. By replacing the coupling resistor, a four-dimensional memristive chaotic system is constructed, showing extreme multistability phenomenon. The dynamics of the systems are fully analyzed using phase portraits, Lyapunov exponent spectra, and coexisting bifurcation diagrams.
MODERN PHYSICS LETTERS B
(2021)
Article
Mathematics, Interdisciplinary Applications
Ling Zhou, Zhenzhen You, Yun Tang
Summary: This paper introduces a new three-dimensional chaotic system that can generate different types of coexisting attractors with nested structures under fixed model parameters. The system exhibits sensitivity to initial conditions and can produce a multitude of coexisting attractors. The circuit implementation in Pspice supports numerical analyses and validates the mathematical model.
CHAOS SOLITONS & FRACTALS
(2021)
Article
Engineering, Mechanical
Tianming Liu, Jun Mou, Santo Banerjee, Yinghong Cao, Xintong Han
Summary: In this work, a new discrete mapping model is proposed by applying an odd function and fractional calculus to the BVP model, revealing the coexistence of chaos and hyperchaos, as well as the first discovery of chaos and hyperchaos existing simultaneously.
NONLINEAR DYNAMICS
(2021)
Article
Computer Science, Hardware & Architecture
Jun Mou, Feifei Yang, Ran Chu, Yinghong Cao
Summary: The paper presents an algorithm that combines image compression and encryption, utilizing compression sensing and hyper-chaotic maps to enhance security and compression performance, reducing data transmission costs and improving encryption efficiency.
MOBILE NETWORKS & APPLICATIONS
(2021)
Article
Computer Science, Software Engineering
Ji Xu, Jun Mou, Jian Liu, Jin Hao
Summary: This paper proposes a novel image encryption algorithm based on the fractional-order chaotic system and compression sensing algorithm, which is implemented on DSP hardware circuit and utilizes block feedback diffusion algorithm with simultaneous scrambling calculation and diffusion operation. The simulation results demonstrate the effective encryption of digital images, while the security analysis confirms the security and effectiveness of the proposed encryption algorithm.
Article
Physics, Multidisciplinary
Chenguang Ma, Jun Mou, Peng Li, Tianming Liu
Summary: A new 2-dimensional chaotic map with a simple algebraic form is proposed in this paper, and the numerical solution of the corresponding fractional-order map is derived. The new map still exhibits chaotic behaviors when expanded to fractional-order and improper fractional-order, and it has multiple coexisting attractors.
EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS
(2021)
Article
Computer Science, Information Systems
Jin Hao, Jun Mou, Li Xiong, Yingqian Zhang, Xinyu Gao, Yuwen Sha
Summary: This paper proposes a novel color image encryption algorithm based on the fractional order laser chaotic system and DNA mutation principle, analyzing the dynamic characteristics of the system and designing an encryption scheme. By scrambling the image values using chaotic sequences and Arnold matrices, and introducing DNA diffusion algorithm and DNA mutation theory for increased randomness, the algorithm demonstrates strong encryption capabilities and resistance to multiple decryption methods, enabling secure communication of digital images.
MULTIMEDIA TOOLS AND APPLICATIONS
(2022)
Article
Engineering, Mechanical
Li Xiong, Feifei Yang, Jun Mou, Xinlei An, Xinguo Zhang
Summary: This paper proposes a memristive circuit system and analyzes its dynamical characteristics. The results show that the system is suitable for image encryption application, and a new method using red-blue 3D glasses to observe chaotic attractors is proposed. Additionally, an image encryption algorithm based on DNA variation is designed and security performance analysis experiments are performed. Finally, a hardware circuit based on the memristive system is implemented.
NONLINEAR DYNAMICS
(2022)
Article
Engineering, Mechanical
Xinyu Gao, Jun Mou, Li Xiong, Yuwen Sha, Huizhen Yan, Yinghong Cao
Summary: This paper proposes a multiple-image encryption algorithm based on single-channel scrambling, diffusion, and chaotic system. The algorithm encrypts the image set by fusing and converting from the RGB channel to the HSV channel. For single-channel encryption, scrambling and diffusion operations are performed. The algorithm shows excellent encryption speed and security performance based on performance analysis.
NONLINEAR DYNAMICS
(2022)
Article
Computer Science, Information Systems
Xinyu Gao, Jun Mou, Santo Banerjee, Yinghong Cao, Li Xiong, Xiaoyang Chen
Summary: A multiple-image encryption scheme based on hyperchaotic map and 3D cube is designed in this paper. The scheme constructs a cube graph by superimposing planes and performs DNA encoding, rotation, and swapping operations on the images, achieving effective and secure image encryption.
JOURNAL OF KING SAUD UNIVERSITY-COMPUTER AND INFORMATION SCIENCES
(2022)
Article
Mathematics, Interdisciplinary Applications
Xuejun Li, Jun Mou, Yinghong Cao, Santo Banerjee
Summary: This paper studies an optical image encryption scheme based on fractional Fourier transform and five-dimensional host-induced nonlinearity fractional-order laser hyperchaotic system. By analyzing the dynamic characteristics of the proposed system and combining BP neural network, GF(17) domain diffusion and hyperchaotic random point scrambling algorithm, a novel image encryption scheme is proposed. The research provides an experimental basis and theoretical guidance for image secure communication combining fractional-order laser hyperchaotic systems and optical methods, and offers a new research perspective for optical image encryption.
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
(2022)
Article
Physics, Multidisciplinary
Stelios Bekiros, Samaneh Soradi-Zeid, Jun Mou, Amin Yousefpour, Ernesto Zambrano-Serrano, Hadi Jahanshahi
Summary: This article focuses on determining numerical solutions for the two-dimensional time-space fractional Schrodinger equation using the Laguerre wavelet approach. The problem is discretized and solved using a collocation method, which has been proven to provide accurate results. The numerical examples provided in the article support this claim.
Article
Mathematics
Zhenggang Guo, Junjie Wen, Jun Mou
Summary: In this paper, a new six-dimensional memristor chaotic system is designed by combining a chaotic system with a memristor. By analyzing the phase diagram, eleven different attractors are found, including a multi-wing attractor and symmetric attractors. The system is proven to have the property of a hidden chaotic attractor. The dynamic behavior of the system under parameter changes and various phenomena, such as chaos degradation and coexistence of multiple attractors, are analyzed.
Article
Mathematics
Naif D. Alotaibi, Hadi Jahanshahi, Qijia Yao, Jun Mou, Stelios Bekiros
Summary: This study introduces a novel ensemble neural network approach for accurately classifying upper limb electromyography (EMG) signals. The proposed technique integrates long short-term memory networks (LSTM) and attention mechanisms, achieving high accuracy through preprocessing and feature extraction of the signals.
Article
Mathematics
Naif D. Alotaibi, Hadi Jahanshahi, Qijia Yao, Jun Mou, Stelios Bekiros
Summary: The control of rehabilitation robots faces challenges in dealing with unknown disturbances, and many advanced techniques for controlling and identifying such systems have yet to be implemented. In this study, a novel algorithm is proposed that uses a finite estimator and Gaussian process to identify and forecast the unknown dynamics of a 2-DoF knee rehabilitation robot. The algorithm makes use of the probabilistic nature of Gaussian processes and guarantees finite-time convergence through the Lyapunov theorem.
Article
Mathematics, Interdisciplinary Applications
Xingce Liu, Jun Mou, Jue Wang, Santo Banerjee, Peng Li
Summary: In this paper, a chaotic circuit based on a memcapacitor and meminductor is constructed and its dynamic behavior is studied. The equilibrium stability and dynamic characteristics of the system are analyzed using mathematical modeling and decomposition methods, revealing some special phenomena. The circuit implementation of the system is achieved on a DSP platform, and the numerical simulation results validate the abundant dynamical characteristics of the system.
FRACTAL AND FRACTIONAL
(2022)
Article
Mathematics, Interdisciplinary Applications
Tao Ma, Jun Mou, Bo Li, Santo Banerjee, Huizhen Yan
Summary: This paper investigates the complex dynamics of fractional-order neural networks by proposing a fractional-order Hopfield neural network (FOHNN) system and solving it using the Adomian decomposition method. The dynamics of the system are analyzed through phase diagrams, bifurcation diagrams, Lyapunov exponential spectra, and Lyapunov dimensions.
FRACTAL AND FRACTIONAL
(2022)
Article
Computer Science, Information Systems
Xuejun Li, Bo Li, Bo Sun, Zhisen Wang, Caiyin Wang, Jun Mou
Summary: This paper proposes a new image encryption scheme based on an optical injection semiconductor laser chaotic system, which includes two processes of scrambling and diffusion. Experimental results indicate that the algorithm has good image encryption performance and can effectively resist various common attacks.
