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Article
Mathematics, Interdisciplinary Applications
Ning Wang et al.
Summary: It has been eleven years since the first chaotic hidden attractor in Chua system with piecewise-linear nonlinearity was discovered. However, experimental observation of such attractor remains challenging due to the non-intersection with system equilibrium points and far distance from the origin. This Letter proposes the use of offset control to shift the attraction basin and map non-zero initial values to zeros, allowing for experimental observation of the hidden attractor by discharging all dynamic elements in advance.
CHAOS SOLITONS & FRACTALS
(2023)
Article
Computer Science, Hardware & Architecture
Hairong Lin et al.
Summary: In this article, a novel method for designing multistructure chaotic attractors in memristive neural networks is proposed. By utilizing a multipiecewise memristive synapse control in a Hopfield neural network (HNN), various complex multistructure chaotic attractors can be produced. Theoretical analysis and numerical simulation demonstrate that multiple multistructure chaotic attractors with different topologies can be generated by conducting the memristive synapse-control in different synaptic coupling positions. Meanwhile, the number of structures can be easily controlled with the memristor control parameters. Furthermore, a module-based analog memristive neural network circuit is designed, allowing the arbitrary number of multistructure attractors to be obtained by selecting corresponding control voltages. Finally, a novel image encryption cryptosystem with a permutation-diffusion structure is designed and evaluated, exhibiting its excellent encryption performances, especially the extremely high key sensitivity.
IEEE TRANSACTIONS ON COMPUTER-AIDED DESIGN OF INTEGRATED CIRCUITS AND SYSTEMS
(2023)
Article
Mathematics, Interdisciplinary Applications
Shoukui Ding et al.
Summary: This paper proposes a new neural network model based on memristors to simulate the electromagnetic induction effect between neurons. The theoretical analysis and numerical simulations investigate the multistability and various dynamic behaviors of the model, and a simple analog circuit is designed for verification.
CHAOS SOLITONS & FRACTALS
(2023)
Article
Mathematics, Interdisciplinary Applications
Iacyel Gomes et al.
Summary: This paper reports the observation of chaotic hysteresis in a Chua's electronic circuit driven by both a dc and a slow triangular voltage source. One and two hysteresis loops were observed in single and double scroll chaotic regimes, respectively. The results contribute to expanding our knowledge on unexplored dynamics of Chua's circuit and chaos control theory.
CHAOS SOLITONS & FRACTALS
(2023)
Article
Mathematics, Interdisciplinary Applications
Hairong Lin et al.
Summary: This article focuses on the bionic model and chaotic dynamics of the asymmetric neural network, as well as its engineering application. The proposed memristor-coupled asymmetric neural network (MANN) exhibits multiple complex dynamical characteristics and is observed to have phenomena such as infinitely wide hyperchaos and hyperchaotic multi-structure attractors for the first time in neural networks. Additionally, a color image encryption scheme based on the MANN is designed and shows advantages in correlation, information entropy, and key sensitivity.
CHAOS SOLITONS & FRACTALS
(2023)
Article
Engineering, Electrical & Electronic
Quan Xu et al.
Summary: Analog circuit implementation of neuron models is important for replicating neuron firing patterns and exploring neuron-based applications. This paper successfully builds a memristive neuromorphic circuit by using locally active memristors to characterize ion channels. Numerical simulations and hardware experiments demonstrate its feasibility in generating abundant firing patterns.
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS
(2023)
Article
Automation & Control Systems
Sen Zhang et al.
Summary: This article proposes a novel memristive autapse-coupled neuron model (MACNM) that can mimic biological neuronal synapses and describe the influence of external electromagnetic radiation. The MACNM is capable of generating multiple numbers of grid multiscroll hidden attractors and exhibits rich and complex hidden firing dynamics, including periodic spiking/bursting firing and chaotic spiking/bursting firing. Furthermore, it shows the phenomenon of hidden homogeneous multistability, where five coexisting homogeneous chaotic bursting firing patterns with different offsets along the boosting route are discovered. The physical feasibility of the MACNM is verified through circuit design.
IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS
(2023)
Article
Mathematics, Interdisciplinary Applications
Ran Wang et al.
Summary: Based on the special structure of variable-boostable chaotic system VB24, a 3D memristive chaotic system with conditional symmetry is constructed by embedding a quadratic flux-controlled memristor, and the coexisting oscillations with conditional symmetry are systematically confirmed through bifurcation analysis and circuit verification.
CHAOS SOLITONS & FRACTALS
(2022)
Article
Mathematics, Interdisciplinary Applications
Xiaoyuan Wang et al.
Summary: This paper presents a novel four-dimensional hyper-chaotic system based on a tri-valued memristor, which exhibits complex dynamics such as hidden attractors and coexistent attractors. Experimental results show that this system can generate hyper-chaos and coexistent attractors, whereas systems with binary-valued memristors cannot. This suggests that applying three- or multi-value memristors in chaotic circuits can produce more complex dynamic properties.
CHAOS SOLITONS & FRACTALS
(2022)
Article
Mathematics, Interdisciplinary Applications
Mo Chen et al.
Summary: This paper proposes a DC-offset method for obtaining hidden dynamics in preexisting nonlinear circuits. An improved memristive Chua's circuit with hidden behaviors is constructed, and the hidden and asymmetric dynamical behaviors induced by the DC-offset are revealed and verified. The measurements of hidden and coexisting attractors with relatively small attraction basins are facilitated by a reconstituted model.
CHAOS SOLITONS & FRACTALS
(2022)
Article
Automation & Control Systems
Sen Zhang et al.
Summary: This article proposes a novel memristive multidouble-scroll Chua's system (MMDSCS) that can generate any number of multidouble-scroll chaotic attractors by adjusting the internal parameters of the memristor. The system also exhibits a unique phenomenon of coexisting homogeneous extreme multistability. The formation mechanism of this phenomenon is investigated using various methods, and hardware experiments are carried out to verify the numerical simulations. Furthermore, an image encryption scheme is designed based on the memristor dynamics. The proposed system has advantages such as multidouble-scroll attractors, controllable chaotic sequences, robustness, and high security performance.
IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS
(2022)
Article
Engineering, Electrical & Electronic
Qi Guo et al.
Summary: In this paper, a novel passive current-controlled second-order generalized memristor using simple components is presented. The model state equation and voltage-current characteristics of the memristor are studied to analyze the symmetry, dissipativity, stability, and dynamical behaviors of the circuit. The existence of various attractors is validated.
AEU-INTERNATIONAL JOURNAL OF ELECTRONICS AND COMMUNICATIONS
(2022)
Article
Mathematics, Applied
Ning Wang et al.
Summary: This paper investigates a modified Chua circuit and observes the coexistence of hidden attractors and coexisting attractors, exploring their attraction basins. The results demonstrate that hidden attractors have very small basins of attraction.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2021)
Article
Mathematics, Interdisciplinary Applications
Sen Zhang et al.
Summary: A novel HR neuron model with memristive electromagnetic induction is proposed in this paper, exhibiting complex dynamics and generating hidden attractors and multistability phenomenon. The detailed investigation includes bifurcation diagrams, Lyapunov exponents, time series, attraction basins, and SE complexity. Circuit simulations and hardware experiments are conducted to demonstrate the theoretical analyses, and a pseudorandom number generator is designed using chaotic sequences from the memristive HR neuron model.
CHAOS SOLITONS & FRACTALS
(2021)
Article
Engineering, Electrical & Electronic
Zbigniew Galias
Summary: The paper introduces a new systematic method to detect periodic windows in nonlinear systems, utilizing a combination of trajectory monitoring approach and continuation method. The method is applied to the Chua's circuit and demonstrates superior performance compared to standard methods in detecting periodic windows in bifurcation diagrams.
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS
(2021)
Article
Computer Science, Hardware & Architecture
Qi Guo et al.
Summary: A novel third-order autonomous memristor-based chaotic circuit is proposed in this paper, with simple topology and analysis of voltage-current characteristics. The system exhibits unique dynamical behaviors when varying parameters, transitioning abruptly from period-1 limit cycles to robust chaos. Various dynamical behaviors are analysed using numerical simulations and circuit verifications.
INTEGRATION-THE VLSI JOURNAL
(2021)
Article
Engineering, Electrical & Electronic
Leonardo Barboni
Summary: This study introduces a novel circuit realization of a passive current-controlled inductorless emulator, addressing the lack of passive current-controlled memristor devices and providing potential applications in more sophisticated circuits.
ACTIVE AND PASSIVE ELECTRONIC COMPONENTS
(2021)
Article
Mathematics, Applied
Qing Zhao et al.
Article
Engineering, Electrical & Electronic
Ning Wang et al.
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS
(2019)
Article
Engineering, Mechanical
Mo Chen et al.
NONLINEAR DYNAMICS
(2017)
Article
Engineering, Mechanical
Bocheng Bao et al.
NONLINEAR DYNAMICS
(2016)
Article
Mathematics, Applied
B. C. Bao et al.
Review
Mathematics, Interdisciplinary Applications
Makoto Itoh et al.
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
(2013)
Article
Engineering, Electrical & Electronic
Zbigniew Galias
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS
(2012)
Article
Engineering, Electrical & Electronic
AS Elwakil et al.
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS
(2000)
