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Article
Engineering, Mechanical
Quan Xu et al.
Summary: This paper presents a nonlinear function with an N-shaped curve and a multiplier-free implementation to avoid the use of analog multipliers in the hardware implementation of the FHN neuron model. Numerical simulations and hardware experiments confirm that the improved FHN neuron model can generate rich electrical activities, including periodic spiking behavior, chaotic behavior, and quasi-periodic behavior. The availability of the proposed nonlinear function for analog circuit implementation of FHN neuron-based neuromorphic intelligence is demonstrated through the analog circuit implementation and hardware experiment without any multiplier.
NONLINEAR DYNAMICS
(2023)
Article
Engineering, Mechanical
Qiyu Wang et al.
Summary: A simple four-dimensional chaotic system is proposed in this paper, which is considered as a Hamiltonian conservative system based on the analysis of Hamiltonian energy and conservative nature. The conservative and chaotic properties of the system are verified through phase diagram, Lyapunov exponents, bifurcation diagram, and complexity diagram. The extreme multistability of the system is studied, showing the coexistence of unequal and equal energy levels. The topology of these conservative motions is closely related to the isoenergy line of the Hamiltonian function. Additionally, the offset-boosting under parameter control is investigated, and the feasibility of the system is verified through simulation and experimental circuits. Furthermore, the system is applied to finite-time synchronization, laying a foundation for practical engineering applications.
NONLINEAR DYNAMICS
(2023)
Article
Physics, Multidisciplinary
Yixin Chen et al.
Summary: In this paper, a new mix chaotic circuit with a pi-shaped structure is proposed, which consists of two memristors, a memcapacitor, an inductor, and a capacitor. The equilibrium point and dynamical behaviors of the circuit are analyzed in detail under two different parameters. Moreover, the exceptional phenomenon of multistability is discovered in the new circuit. The circuit is implemented on a DSP platform, and the experimental results are in accordance with the simulation results. The analysis shows that the new mix chaotic circuit has complex dynamical characteristics and can be used in the field of encryption.
EUROPEAN PHYSICAL JOURNAL PLUS
(2023)
Article
Mathematics
Fei Yu et al.
Summary: In this paper, a simple seven-term 4D hyperchaotic system based on the classical Sprott-C 3D chaotic system is presented. The system is inspired by a previous study on a simple 4D hyperchaotic system. The paper discusses the limitations of the previous system and proposes an improved 5D memristive hyperchaotic system with hidden attractors. The properties of the new system are analyzed and hardware circuits are realized and verified through experiments.
Article
Mathematics
Yue Zhu et al.
Summary: In this paper, we propose a chaotic digital image encryption scheme based on an optimized artificial fish swarm algorithm and DNA coding to address the problems of small key space and weak resistance to differential attacks in existing encryption algorithms. The key is associated with the ordinary image pixel through the MD5 hash operation, and the hash value generated by the ordinary image is used to increase the sensitivity of the key. The artificial fish school algorithm is used to scramble the positions of pixels in the block, and scrambling operation between blocks is proposed to increase the scrambling effect. Operations based on DNA encoding, obfuscation, and decoding technologies are performed in the diffusion stage to obtain encrypted images.
Article
Mathematics, Interdisciplinary Applications
Joao Inacio Moreira Bezerra et al.
Summary: With the increase in internet-connected devices and advancements in technologies like 5G, data-sharing over non-secure channels in real-time applications has grown significantly, leading to a greater demand for fast cryptography algorithms. Traditional algorithms like AES are not suitable for image encryption, hence researchers have explored chaotic encryption strategies as an alternative. However, the performance of these chaotic ciphers is limited due to the use of floating-point arithmetic and inefficient memory access. This study proposes using fixed-point arithmetic for generating chaotic sequences to improve computational efficiency and employing a simultaneous permutation-diffusion operation and block encryption to address the issue of inefficient memory access. The proposed scheme outperforms AES, previous literature values, and the Ascon algorithm with a significantly higher throughput.
CHAOS SOLITONS & FRACTALS
(2023)
Article
Mathematics, Interdisciplinary Applications
Qiuzhen Wan et al.
Summary: In this paper, a new method for generating symmetric multi-scroll attractors is proposed based on a magnetized Hopfield neural network (HNN). The mathematical model of magnetized HNN is established, and its dynamic characteristics are analyzed. The complex attractor structure changes of the magnetized HNN under external pulse controlled memristor, pulse current stimulation and their combined effects are discussed respectively. The numerical simulation results show that the magnetized HNN can produce multi-scroll chaotic and multi-scroll periodic strange attractors with symmetric structure under pulse controlled memristor or/and pulse current stimulation. The number of attractors can be changed by setting the different series of multi-level-logic pulse functions. The experimental results verify the validity of the numerical simulation results, and the magnetized HNN circuit is realized using discrete analog electronic devices.
CHAOS SOLITONS & FRACTALS
(2023)
Article
Mathematics, Interdisciplinary Applications
Xilin Liu et al.
Summary: This paper proposes an image encryption algorithm based on conservative hyperchaotic and biological gene algorithms to solve the vulnerability of current image encryption algorithms to reconstruction attacks. By introducing a new conservative hyperchaotic system, calculating the hash value of plaintext image using SHA-512, and generating the initial key through a devised key generation algorithm, the algorithm's security and efficiency are improved. The algorithm also includes new dynamic coding rules, enhancing the security through pseudorandom sequence control.
CHAOS SOLITONS & FRACTALS
(2023)
Article
Physics, Multidisciplinary
Xinyu Gao et al.
Summary: We propose a color image encryption scheme by combining hyperchaotic map, cross-plane operation, and gene theory. The hyperchaotic map used in the scheme is analyzed and studied, and a color image encryption scheme is designed based on its dynamics. A DNA mutation operation is applied at the end of the encryption process to enhance image randomness and improve algorithm security. Simulation experiments, performance analysis, and attack tests validate the effectiveness and security of the proposed algorithm. This work explores the potential application of chaos theory and gene theory in image encryption.
Article
Computer Science, Artificial Intelligence
Qiang Lai et al.
Summary: This paper presents a novel chaos-based encryption scheme using a two-dimensional Salomon map to protect images from being captured or attacked. Experimental results show that the scheme has excellent cryptographic effect and security.
EXPERT SYSTEMS WITH APPLICATIONS
(2023)
Article
Computer Science, Artificial Intelligence
Ugur Erkan et al.
Summary: Chaotic systems play a crucial role in various applications. However, the existing systems have limitations in complexity and randomness. In this study, a novel 2D hyperchaotic system called Schaffer map is proposed, which shows high complexity and randomness. The system is evaluated using rigorous chaos indicators and compared with existing counterparts. The results demonstrate the system's superior ergodicity and erraticity properties. The applicability of the system in image encryption is also tested and shows excellent performance.
EXPERT SYSTEMS WITH APPLICATIONS
(2023)
Article
Computer Science, Hardware & Architecture
Fei Yu et al.
Summary: In this paper, a new 5D memristive exponential hyperchaotic system is proposed and its fundamental dynamics characteristics are analyzed. The system exhibits a rich set of dynamic behaviors when appropriate parameter sets are chosen. The system is implemented using the Field Programmable Gate Array (FPGA) and the experimental results are consistent with the numerical simulation results on MATLAB. An image encryption application based on the system is presented, and the security analysis demonstrates the feasibility and effectiveness of the image encryption algorithm.
INTEGRATION-THE VLSI JOURNAL
(2023)
Article
Mathematics, Interdisciplinary Applications
Xiaojuan Ma et al.
Summary: In this paper, a fast hyperchaotic image encryption scheme based on RSVM and step-by-step scrambling-diffusion is proposed. The scheme utilizes the RSVM algorithm to generate random one-dimensional arrays of the pixel matrix, which are then used to scramble-diffuse the rows/columns of the pixel matrix. The control parameters of the RSVM algorithm are determined by the SHA-256 of the plaintext pixels, ensuring that even small changes in the plaintext pixels result in significant differences in the ciphertext images. Additionally, the overall time complexity of the scheme is quite low, reducing the time cost significantly.
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
(2023)
Article
Mathematics, Interdisciplinary Applications
Xiaoxiong Lu et al.
Summary: This paper studies the period of sequences generated by iterating the logistic map over ring DOUBLE-STRUCK CAPITAL Z3n from the perspective of its associated functional network. The complete explicit form of the period of the sequences starting from any initial value is given theoretically and verified experimentally. Conditions ensuring the corresponding sequences to achieve the maximum period over the ring are also derived.
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
(2023)
Article
Engineering, Mechanical
Bocheng Bao et al.
Summary: This paper constructs a memristor-based neuron model and investigates the memristor effect in a discrete map as well as its impact on neuronal behavior. Numerical methods reveal complex mode transition behaviors, which are strongly dependent on the initial state of the memristor. Furthermore, a hardware platform is developed to demonstrate the effectiveness of the memristive neuron model in imitating firing activities of biological neurons.
NONLINEAR DYNAMICS
(2023)
Article
Computer Science, Information Systems
Xiaojuan Ma et al.
Summary: This paper proposes a hyperchaotic image encryption system based on the improved Joseph algorithm and reversible cellular automata. The encryption algorithm is highly sensitive to the original image and effectively hides pixel information, increasing the encryption performance and resistance against attacks. Simulation experiments and safety analysis demonstrate the algorithm's effectiveness in resisting various attacks.
MULTIMEDIA TOOLS AND APPLICATIONS
(2023)
Article
Automation & Control Systems
Junwei Sun et al.
Summary: In this article, a multimode generalization and differentiation circuit for Pavlov associative memory is proposed using memristors. The circuit is designed to consider the learning and forgetting processes among multiple neurons, and achieves secondary differentiation. The nonvolatility and thresholding properties of memristors are utilized for multiple generalization and differentiation, while inhibition modules are used for extinction and differentiation inhibition during forgetting.
IEEE TRANSACTIONS ON CYBERNETICS
(2023)
Review
Mathematics
Hairong Lin et al.
Summary: Since the discovery of the Lorenz chaotic system in 1963, the construction of chaotic systems with complex dynamics has been a hot topic in chaos research. Recently, memristive Hopfield neural networks (MHNNs) have shown great potential in designing complex, chaotic systems due to their unique network structures, hyperbolic tangent activation function, and memory property. This review provides an analysis of different modeling methods, reviews pioneering works and recent important papers, and surveys the progress of MHNN-based chaotic systems in various applications. It aims to be a reference and resource for both chaos researchers and those interested in applying chaotic systems.
Article
Mathematics, Interdisciplinary Applications
Zhen Yang et al.
Summary: In this work, a new 2D discrete hyper-chaotic map with linear cross-coupled topological structure combined with the Tent and Logistic map is constructed, outperforming other enhanced chaotic maps developed recently. An efficient PRNG based on the proposed map is then implemented on FPGA, generating sequences with high randomness and passing various tests successfully. Experimental results show that the proposed PRNG occupies only 1.4% of the available FPGA resources, while achieving a clock frequency of 158 MHz with a maximum throughput of 9.26 Gbps, outperforming the state-of-the-art.
CHAOS SOLITONS & FRACTALS
(2023)
Article
Computer Science, Artificial Intelligence
Wei Yao et al.
Summary: This paper investigates the robust exponential synchronization of inertial memristive neural networks (IMNNs) with time-varying delays and parameter disturbance through event-triggered control (ETC) scheme. The delayed IMNNs are transformed into first-order MNNs with parameter disturbance by constructing proper variable substitutions. Then, a state feedback controller is designed for response IMNNs with parameter disturbance, and ETC methods are provided to decrease the update times of controller.
Article
Mathematics, Interdisciplinary Applications
Hairong Lin et al.
Summary: In this paper, a simplified multi-piecewise memristor is used to design a family of memristive multibutterfly chaotic systems (MMBCSs). Three MMBCSs are constructed by coupling different numbers of the simplified multi-piecewise memristors into a modified Sprott C system. The constructed MMBCSs can generate connected and unconnected 1D, 2D, and 3D multibutterfly chaotic attractors, and the number and position of butterfly attractors can be easily controlled.
CHAOS SOLITONS & FRACTALS
(2023)
Article
Mathematics, Interdisciplinary Applications
Xilin Liu et al.
Summary: This study proposed a new image encryption algorithm based on conservative chaos, which has the ability to resist reconstruction attacks and other attacks, and experimental results show that the algorithm has better security and real-time communication performance.
CHAOS SOLITONS & FRACTALS
(2022)
Article
Engineering, Electrical & Electronic
Zhongyun Hua et al.
Summary: The paper introduces an n-dimensional polynomial chaotic system (nD-PCS) that can generate high-dimensional chaotic maps with any desired Lyapunov exponents. The construction of the nD-PCS utilizes linear algebra and theoretical analysis confirms its effectiveness in producing chaotic maps with the desired properties. Two high-dimensional chaotic maps with hyperchaotic behaviors were successfully generated and demonstrated randomness properties through a hardware platform.
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS
(2022)
Article
Engineering, Mechanical
Zefeng Zhang et al.
Summary: In this paper, a new five-dimensional hyperchaotic system is proposed based on Euler equation and energy analysis. The conservative and chaotic properties of the system are verified, and the multistability phenomenon and transient transition behavior are analyzed.
NONLINEAR DYNAMICS
(2022)
Article
Engineering, Mechanical
Dengwei Yan et al.
Summary: This paper presents a novel non-equilibrium point chaotic system combined with fractal transformation to observe a new class of multi-scroll chaotic attractors. The complexity of the proposed system is discussed using spectrum entropy (SE) complexity, resulting in chaotic sequences with higher complexity. Furthermore, a hardware platform is developed to confirm the accuracy of numerical simulations.
NONLINEAR DYNAMICS
(2022)
Article
Computer Science, Information Systems
Xilin Liu et al.
Summary: This paper proposes a novel image encryption algorithm utilizing DNA dynamic encoding and self-adapting permutation, combined with a new 4-dimensional hyperchaotic system. The algorithm demonstrates strong pseudo-randomness and a large range of chaotic parameters. It enhances sensitivity to plaintext image and key with DNA dynamic encoding, calculation, and decoding methods. Theoretical analysis and numerical simulations show that the algorithm has good security and can resist various attacks.
MULTIMEDIA TOOLS AND APPLICATIONS
(2022)
Article
Computer Science, Artificial Intelligence
Meiling Liaon et al.
Summary: The paper proposes an improved circuit for affective associative memory neural network to achieve progressive changes in emotional intensity. In the designed circuit, the firing frequency of output neurons is correlated with the intensity of emotions. The gradual processes are achieved through the dynamic change of synaptic weights.
NEURAL COMPUTING & APPLICATIONS
(2022)
Article
Engineering, Mechanical
Chunxiao Yang et al.
Summary: This paper proposes a pseudo-random number generator and image encryption scheme based on fractional chaotic systems. The performance and security analyses show that the proposed system is practical and efficient.
NONLINEAR DYNAMICS
(2022)
Article
Engineering, Mechanical
Xiangxin Leng et al.
Summary: In this paper, a novel fractional-order conservative system is constructed and its rich dynamical behaviors are discovered through data simulation. The study uncovers the phenomena of hyperchaos and dissipation, which are analyzed in detail using various analysis methods. Furthermore, the system is validated to have potential practical application value.
NONLINEAR DYNAMICS
(2022)
Article
Automation & Control Systems
Hairong Lin et al.
Summary: This article focuses on coupled neural networks with brain-like chaotic dynamics and their application in biomedical image encryption. A memristive-coupled neural network (MCNN) model is proposed and its dynamical behaviors are studied. Numerical results show that the MCNN can generate highly complex hyperchaotic attractors and boost the attractor positions by switching their initial states. A biomedical image encryption scheme is designed and its performance is evaluated.
IEEE TRANSACTIONS ON INDUSTRIAL INFORMATICS
(2022)
Article
Engineering, Electrical & Electronic
Musha Ji et al.
Summary: Conservative chaotic systems have unique advantages in secure communication and pseudo-random number generation. This paper proposes an effective method for constructing a family of Hamiltonian conservative chaotic systems and thoroughly studies one of the proposed systems to demonstrate its effectiveness. The research results show rich dynamic behaviors and coexisting orbits related to energy, and the physical feasibility of the system is confirmed through experiments.
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS
(2022)
Article
Engineering, Electrical & Electronic
Yongjin Xian et al.
Summary: This paper proposes a chaotic image encryption method based on a spiral-transform-based fractal sorting matrix (STFSM), which achieves a good image encryption process by introducing the theory and iterative algorithm of STFSM. The experimental results demonstrate that the algorithm has a good encryption effect and can effectively resist attacks.
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS
(2022)
Article
Engineering, Mechanical
Hairong Lin et al.
Summary: In this paper, a memristive ring neural network (MRNN) with special structure and a non-ideal flux-controlled memristor is introduced to simulate the effect of external electromagnetic radiation on neurons. The chaotic dynamics of the MRNN is investigated and verified through numerical simulations and circuit experiments. Based on the characteristics of the network, a medical image encryption scheme is proposed. Performance evaluations show that the scheme has advantages compared with other chaotic systems-based cryptosystems in terms of keyspace, information entropy, and key sensitivity.
NONLINEAR DYNAMICS
(2022)
Article
Mathematics, Applied
Hui Shen et al.
Summary: This paper constructs a 2n-dimensional memristive autaptic Hopfield neural network model by introducing locally active memristors to replace ordinary resistive autapse. The stability and boundedness of the model are analyzed and verified through numerical simulation and implementation on a field-programmable gate array (FPGA).
Article
Mathematics, Interdisciplinary Applications
Jinwei Yu et al.
Summary: This paper proposes an image encryption algorithm based on DNA sequence operation and hyper-chaotic system. By using SHA-256 algorithm and chaotic systems to generate random sequences, encoding the original image into DNA matrices, introducing DNA triploid mutation for cryptographic conversion, and then fusing the image through row-column permutation and pixel diffusion, the encryption approach proves to be secure and effective.
CHAOS SOLITONS & FRACTALS
(2022)
Article
Engineering, Mechanical
Zhenghui Wen et al.
Summary: This paper investigates the effect of magnetic field coupling between neurons on neuron dynamics and finds that it can change the firing mode of neurons, providing new insights into the mechanism of information interaction between neurons.
NONLINEAR DYNAMICS
(2022)
Article
Engineering, Mechanical
Xilin Liu et al.
Summary: This paper proposes a conservative chaotic system and a corresponding color image encryption algorithm, which provides strong security and real-time communication capability. By controlling the direction and number of chaotic scrolls, the ergodic space in phase space becomes richer, increasing the complexity of chaotic behavior.
NONLINEAR DYNAMICS
(2022)
Article
Engineering, Mechanical
Hui Shen et al.
Summary: This paper proposes a novel memristor that is applied to construct neurons and neural networks. By conducting a series of analysis and experiments, the paper verifies its performance in terms of firing dynamics and compares different firing patterns and coupled neural networks. The research results are of great significance for revealing the mystery of the brain and potential applications in practical projects.
NONLINEAR DYNAMICS
(2022)
Article
Mathematics, Applied
Sen Zhang et al.
Summary: This study presents a novel non-equilibrium Hindmarsh-Rose neuron model with memristive electromagnetic radiation effect. Through numerical simulations and hardware experiments, it is demonstrated that this model exhibits complex dynamics and high security, making it suitable for real-world applications.
Article
Computer Science, Hardware & Architecture
Fei Yu et al.
Summary: This paper presents a new method for generating multi-scroll chaotic attractors and analyzes the basic dynamic characteristics of the system, as well as its application in chaotic image encryption and security performance evaluation. The feasibility and usability of the proposed new multi-scroll Chua's system are verified through numerical simulation and FPGA experimental results.
INTEGRATION-THE VLSI JOURNAL
(2021)
Article
Engineering, Mechanical
Zhongyun Hua et al.
Summary: The proposed method in this paper for constructing S-box using complete Latin square and chaotic system demonstrates high performance and resistance to security attacks. By applying this S-box to image encryption, it produces cipher images with uniformly distributed histograms, showing a high security level and outperforming several state-of-the-art encryption algorithms.
NONLINEAR DYNAMICS
(2021)
Article
Engineering, Mechanical
Sathya Krishnamoorthi et al.
Summary: A novel chaotic PRNG is developed with added turbulence to improve randomness, passing statistical tests successfully. Compared to existing chaotic PRNGs, the new PRNG shows a significant increase in key space and performance speed, suitable for lightweight cryptographic applications.
NONLINEAR DYNAMICS
(2021)
Article
Computer Science, Information Systems
Khalid M. Hosny et al.
Summary: A new algorithm for image encryption using a hyperchaotic system and Fibonacci Q-matrix was proposed, achieving excellent security level and outperforming existing algorithms in various tests and comparisons.
Article
Physics, Multidisciplinary
Fei Yu et al.
Summary: A pseudo-random number generator (PRNG) based on a feedback controller using a Hopfield neural network chaotic oscillator is proposed to suppress chaotic degradation caused by numerical accuracy constraints in FPGA-based neural network systems. The system utilizes the magnetic flux across neuron cell membranes as a feedback condition to disturb other neurons, preventing periodicity. Implementation and synthesis on FPGA using Verilog HDL code, along with simulations on Vivado 2018.3 software, demonstrate high security and randomness in the generated binary data, verified through statistical tests. Additionally, an image encryption and decryption system based on the PRNG design is successfully implemented and validated through simulation and security analysis.
FRONTIERS IN PHYSICS
(2021)
Article
Mathematics, Interdisciplinary Applications
Aleksandra Tutueva et al.
CHAOS SOLITONS & FRACTALS
(2020)
Article
Automation & Control Systems
Ruimei Zhang et al.
IEEE TRANSACTIONS ON CYBERNETICS
(2019)
Article
Automation & Control Systems
Meiling Xu et al.
IEEE TRANSACTIONS ON CYBERNETICS
(2019)
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Engineering, Electrical & Electronic
Miguel Garcia-Bosque et al.
IEEE TRANSACTIONS ON INSTRUMENTATION AND MEASUREMENT
(2019)
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Engineering, Electrical & Electronic
Zhenlong Xiao et al.
IEEE TRANSACTIONS ON SIGNAL PROCESSING
(2018)
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Engineering, Electrical & Electronic
Lanxin Lin et al.
IEEE TRANSACTIONS ON SIGNAL PROCESSING
(2012)
Article
Mathematics, Interdisciplinary Applications
JH Lu et al.
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
(2002)
