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Article
Engineering, Electrical & Electronic
Qiang Lai et al.
Summary: This study introduces a memristor into an enhanced 1D map model and proposes a new 2D memristive map with infinite fixed points. By analyzing and conducting experiments, it is found that the addition of a memristor increases the chaotic complexity of the map.
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS
(2022)
Article
Computer Science, Artificial Intelligence
Mei Guo et al.
Summary: In this paper, a physical Sr0.97Ba0.03TiO3-x (SBT) memristor with voltage threshold characteristic was prepared and an adaptive voltage threshold memristor model was proposed to accurately characterize its electrical characteristics. The synaptic plasticity of SBT memristor under different pulse stimulation was analyzed. A Pavlov associative memory circuit was designed using the LTSPICE environment, which consisted of neuron and memristive synaptic circuits. The experimental results demonstrated the feasibility and applicability of SBT memristor as an electronic synapse in neuromorphic applications, providing a path for the development of artificial neural networks.
Article
Engineering, Mechanical
Yuexi Peng et al.
Summary: This paper proposes a modified intelligent optimization algorithm for parameter identification of discrete memristive chaotic maps, which shows the best performance in dealing with complex behaviors and accurately identifying the parameters of the original system.
NONLINEAR DYNAMICS
(2022)
Article
Engineering, Mechanical
Chunlai Li et al.
Summary: This paper introduces a nonvolatile locally active memristor with three stable equilibrium states for three-bit-per-cell memory device functionality. A neural network model composed of three Hopfield neurons is presented, showing that the distribution of system equilibrium points depends on the coupling weight of the memristor synapse. The bifurcation diagram reveals the coexistence phenomenon of multiple stable modes, with complex bursting oscillation emerging in the neural network when there is a step difference between the system's natural frequency and the external excitation frequency.
NONLINEAR DYNAMICS
(2022)
Article
Computer Science, Information Systems
Xinyu Gao et al.
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 et al.
Summary: This paper proposes a high-security image cryptosystem based on a fractional-order hyperchaotic detuned laser system (FHDLS), an improved shuffling algorithm, and a DNA mutation diffusion algorithm. The experimental results demonstrate that the proposed system performs well in encryption and can effectively resist various attacks.
CHAOS SOLITONS & FRACTALS
(2022)
Article
Mathematics, Interdisciplinary Applications
Ayaz Hussain Bukhari et al.
Summary: This study explores the application of artificial intelligence algorithms in stochastic numerical computing for the nonlinear fractional Rossler differential system. By introducing advanced transformations and radial basis neural networks (RNFN), the complex chaotic dynamics of the Rossler model are successfully solved, and the accuracy of the method is verified through comparisons with standard results.
CHAOS SOLITONS & FRACTALS
(2022)
Article
Physics, Multidisciplinary
Xintong Han et al.
Summary: In this paper, a class of hyperchaotic mappings is constructed using one-dimensional Logistic map and modulated coupling control methods. The dynamical characteristics and equilibrium points of the constructed mappings are analyzed, showing richer dynamics and feasibility in digital circuits.
EUROPEAN PHYSICAL JOURNAL PLUS
(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
Mathematics, Interdisciplinary Applications
Yuwen Sha et al.
Summary: This paper presents an image cryptosystem based on GCD, KMP algorithm, and a chaotic system, which achieves high security through confusion and substitution.
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
(2022)
Article
Mathematics, Interdisciplinary Applications
Xingce Liu et al.
Summary: This paper examines the model and application of discrete memcapacitors in chaotic systems, proposing a model of discrete memcapacitors and obtaining the memristive Chebyshev map by coupling the discrete memcapacitor with the Chebyshev map. The dynamical behavior and control parameter dependence of the memristive Chebyshev map are analyzed, revealing a hyperchaotic attractor and the coexistence of attractors. The memristive Chebyshev map is further implemented using DSP and the simulation results are validated.
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
(2022)
Article
Physics, Multidisciplinary
Tao Ma et al.
Summary: This paper investigates the nonlinear characteristics of a new 4D Hopfield neural network model with two nonlinear synaptic weights by introducing memristors in the model. Rich and complex dynamical behaviors of the HNNs were analyzed, including periodic windows, chaos, and coexistence of asymmetric attractors. Hardware circuit implementation on a DSP platform showed good consistent performance with Matlab simulations, providing a theoretical basis for the application of HNNs to human brain dynamics.
EUROPEAN PHYSICAL JOURNAL PLUS
(2022)
Article
Engineering, Electrical & Electronic
Sen Zhang et al.
Summary: A novel memristive Sprott A system (MSAS) is introduced in this paper, constructed through a memristor coupling method to generate multiple hidden attractors, showcasing both heterogeneous and homogeneous multistabilities. Hardware experiments confirm the feasibility and effectiveness of the MSAS and the memristor coupling method, with a new pseudo-random number generator (PRNG) proposed for practical applications, demonstrating high-quality randomness.
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS
(2021)
Article
Engineering, Electrical & Electronic
Yicheng Jiang et al.
Summary: Two generalized flux-controlled memristors are utilized for hyperchaos generation, leading to the construction of a four-dimensional hyperchaotic oscillator. The new oscillator exhibits complex dynamics, including coexisting chaos and attractor merging. By adjusting a single constant and an amplitude knob, offset boosting and convenient analog circuit construction can be achieved, with consistency verified through analog circuit implementation, numerical simulation, and theoretical analysis.
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS
(2021)
Article
Engineering, Electrical & Electronic
Haotian Fu et al.
Summary: The paper introduces a general method of using M-C circuit to solve inhomogeneous linear ODEs and systems of ODEs, with higher programmability and accuracy. Based on comparison results from MATLAB software simulation and OrCAD software simulation, the designed M-C circuit shows effective improvements in speed and accuracy.
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS
(2021)
Article
Automation & Control Systems
Hairong Lin et al.
Summary: The study constructed a simple multiwing chaotic system without polynomial functions, which can adjust the number of butterflies in multiple ways. By using commercially available electronic components to implement the analog circuit, the consumption of electronic components was greatly reduced. The application of MWCS to chaotic image encryption showed high security and reliable encryption performance.
IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS
(2021)
Article
Mathematics, Interdisciplinary Applications
B. Bao et al.
Summary: This paper introduces a no-argument memristive hyper-jerk system to explore the generation of chaotic bubbles and discover attractors with extreme multi-stability. Through a reconstituted model with initial conditions in an explicit form, the phenomenon of extreme multi-stability is effectively interpreted.
CHAOS SOLITONS & FRACTALS
(2021)
Article
Computer Science, Information Systems
Chun-Lai Li et al.
Summary: The grayscale image encryption scheme proposed in this paper, based on bit-level scrambling and multiplication diffusion, significantly improves security by increasing confusion effect through parallel processing of various scrambling operations, effectively disrupting known-plaintext and chosen-plaintext attacks.
MULTIMEDIA TOOLS AND APPLICATIONS
(2021)
Article
Mathematics, Interdisciplinary Applications
Tianming Liu et al.
Summary: The definition of fractional calculus is introduced into a 3D multi-attribute chaotic system in this paper. The balance points and dynamical behaviors of the system are compared and analyzed through numerical solutions, Lyapunov spectrum, bifurcation model, and complexity. Additionally, a novel chaotic system without equilibrium points is constructed and analyzed in detail.
CHAOS SOLITONS & FRACTALS
(2021)
Article
Computer Science, Information Systems
Chuan Qin et al.
Summary: A fractional-order memristive model with infinite coexisting attractors is investigated in this paper. The numerical solution of the system is derived and its dynamic behaviors are analyzed using various methods, showing rich dynamic characteristics including asymmetric coexisting attractors with different structures. The correctness of the solution algorithm and the physical feasibility of the system is verified through digital signal processor (DSP) implementation.
Article
Engineering, Electrical & Electronic
Hairong Lin et al.
Summary: This paper investigates neural bursting and synchronization by modeling two neural network models based on the Hopfield neural network, showing that these networks can generate rich dynamic behaviors. The synchronization dynamics of the coupling neural network can produce different types of synchronous behaviors depending on the synaptic coupling strength, such as anti-phase bursting synchronization, anti-phase spiking synchronization, and complete bursting synchronization.
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS
(2021)
Article
Engineering, Electrical & Electronic
Bocheng Bao et al.
Summary: The study introduces a discrete memristor model and its application to discrete maps, achieving a memristive Logistic map by coupling it into the Logistic map. The dynamics and hyperchaotic attractors of the memristive Logistic map are analyzed, showing that the discrete memristor can effectively enhance chaos complexity in the Logistic map.
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS
(2021)
Article
Engineering, Mechanical
Chunlai Li et al.
Summary: This paper introduces an S-type memristor with tangent nonlinearity, capable of generating stable pinched hysteresis loops with bistable and locally active properties. By replacing a resistance in a Wien-bridge oscillator circuit with the S-type BLAM memristor, chaotic oscillations and complex dynamic behavior can be achieved, confirmed by analog circuit experiments.
NONLINEAR DYNAMICS
(2021)
Article
Multidisciplinary Sciences
Xuejiao Zhou et al.
Summary: An absolute value function was introduced for chaos construction, where hyperchaotic oscillation was found with amplitude rescaling. The study discusses two regimes of amplitude control and captures symmetrical pairs of coexisting attractors. Circuit implementation by the platform STM32 is consistent with numerical exploration and theoretical observation.
Article
Engineering, Mechanical
Yang Zhou et al.
Summary: This paper introduces an image encryption algorithm CITSPD using circle index table scrambling and partition diffusion, which is highly resistant against known-plaintext and chosen-plaintext attacks, and is free of noise attack. The encryption scheme effectively enhances diffusion effect by increasing small pixel value and decreasing large pixel value, as verified by experimental tests and security analyses.
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INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
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