Article
Mathematics, Interdisciplinary Applications
Leandre Kamdjeu Kengne, Justin Roger Mboupda Pone, Hilaire Bertrand Fotsin
Summary: This study investigates the dynamics of memristor-based chaotic circuits with varying symmetries. The intrinsic nonlinearity of the memristor leads to a variety of nonlinear and complex behaviors, including the coexistence of symmetric and asymmetric attractors, coexisting symmetric and asymmetric bubbles of bifurcation, and symmetric and asymmetric double-scroll chaotic attractors. Experimental investigations support the results of theoretical and numerical studies.
CHAOS SOLITONS & FRACTALS
(2021)
Article
Physics, Multidisciplinary
Ziwei Liang, Shaobo He, Huihai Wang, Kehui Sun
Summary: This paper presents a novel discrete memristive chaotic map, which enriches the dynamical behaviors of the original map by introducing new properties such as line fixed points and multistability, while also achieving chaotification. The implementation of the memristive chaotic map circuit on the DSP platform demonstrates its potential in practical applications.
EUROPEAN PHYSICAL JOURNAL PLUS
(2022)
Article
Mathematics, Interdisciplinary Applications
A. Chithra, T. Fonzin Fozin, K. Srinivasan, E. R. Mache Kengne, A. Tchagna Kouanou, I. Raja Mohamed
Summary: This paper reveals novel complex phenomena in a memristive diode bridge-based MLC circuit, including the coexistence of multiple attractors and double-transient chaos. Numerical simulation tools and real-laboratory measurements confirm the observed complex dynamical behaviors in the memristive system.
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
(2021)
Article
Physics, Multidisciplinary
Fangyuan Li, Tianshi Wang, Mo Chen, Huagan Wu
Summary: This paper introduces a unified asymmetric memristive diode-bridge (UAMD) emulator with current constraints, implemented by an asymmetric diode-bridge cascaded with a parallel resistor and capacitor (RC) filter. The mathematical model and pinched property are confirmed through various experiments, and the emulator is extended to general cases and different symmetric bridge arm situations.
EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS
(2021)
Article
Physics, Multidisciplinary
Quan Xu, Sheng Cheng, Zhutao Ju, Mo Chen, Huagan Wu
Summary: An asymmetric memristive diode-bridge (MDB) emulator is introduced to imitate the characteristics of a physical memristor, leading to the observation of asymmetric coexisting bifurcations and multi-stability. The study reveals the presence of multiple attractors under different parameters through numerical analysis and experimental validation.
CHINESE JOURNAL OF PHYSICS
(2021)
Article
Physics, Multidisciplinary
Sixiao Kong, Chunbiao Li, Shaobo He, Serdar Cicek, Qiang Lai
Summary: By introducing a discrete memristor and periodic sinusoidal functions, a two-dimensional map with coexisting chaos and hyperchaos is constructed in this study. Various coexisting chaotic and hyperchaotic attractors under different Lyapunov exponents are discovered, along with capturing other regimes of coexistence such as coexisting chaos, quasi-periodic oscillation, and discrete periodic points. Additionally, the hyperchaotic attractors can be flexibly controlled to be unipolar or bipolar by newly embedded constants, providing potential applications in artificial intelligence.
Article
Multidisciplinary Sciences
A. O. Adelakun, Y. A. Odusote
Summary: This work provides an in-depth analysis of a novel multiple scroll memristive-based hyperchaotic system with no equilibrium. It identifies a family of more complicated nth-order multiple scroll hidden attractors for a unique, enhanced 4-dimensional Sprott-A system. The system is particularly sensitive to initial conditions and exhibits coexistence and multistability of attractors when changing the associated parameters and the finite transient simulation time. The complexity (CO), spectral entropy (SE) algorithms, and 0-1 complexity characteristics are thoroughly discussed. On the other hand, the outcomes of the electronic simulation are validated by theoretical calculations and numerical simulations.
SCIENTIFIC REPORTS
(2023)
Article
Engineering, Multidisciplinary
Bao Han, Chen ZhuGuan, Cai JianMing, Xu Quan, Bao BoCheng
Summary: This paper presents a neural network that uses memristive synaptic weights, which can exhibit chaos and coexisting attractors composed of stable points and orbits.
SCIENCE CHINA-TECHNOLOGICAL SCIENCES
(2022)
Article
Computer Science, Information Systems
Christos Volos
Summary: A novel memristive Chua's oscillator circuit is presented in this work, and an extensive theoretical and dynamical analysis of the circuit is conducted. The analysis reveals a range of intriguing phenomena, which are corroborated by the circuit's simulation.
Article
Mathematics, Interdisciplinary Applications
Qiang Lai, Cong Lai, Hui Zhang, Chunbiao Li
Summary: This paper presents a novel neuron model by coupling a memristor to obtain a memristive neuron model. The study shows that memristor can enhance the chaos complexity of the discrete neuron, resulting in hyperchaos. Additionally, a new encryption scheme for image encryption is proposed, which exhibits excellent security characteristics.
CHAOS SOLITONS & FRACTALS
(2022)
Article
Physics, Multidisciplinary
Wang-Peng Huang, Qiang Lai
Summary: This article proposes a non-ideal flux-controlled memristor and a new multi-wing memristive chaotic system based on it. Diverse coexisting attractors are numerically found in the system, demonstrating its validity and reliability.
Article
Mathematics, Interdisciplinary Applications
Qiang Lai, Liang Yang
Summary: This paper proposes a simple ring memristive neural network (MNN) with unique features of generating heterogeneous coexisting attractors and enabling large-scale amplitude control. Various types of attractors are numerically found in the MNN, including chaos with a stable point, chaos with a limit cycle, and a limit cycle with a stable point. The MNN's chaotic variables can be increased by adjusting parameter values, allowing for parameter-dependent large-scale amplitude control. A circuit implementation platform is established and experimental results demonstrate the validity and reliability of the proposed MNN.
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
(2023)
Article
Mathematics, Applied
Zeric Njitacke Tabekoueng, Sishu Shankar Muni, Theophile Fonzin Fozin, Gervais Dolvis Leutcho, Jan Awrejcewicz
Summary: This contribution investigates the phenomenon of hidden heterogeneous extreme multistability in coupled neurons. The study reveals that the heterogeneous neuron system can exhibit coexistence of an infinite number of electrical activities involving both periodic and chaotic patterns. A noninvasive control method is applied to suppress the periodic coexisting activities, leaving only the desired chaotic one.
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
Mathematics, Applied
Qiang Lai, Shicong Guo
Summary: This paper aims to construct a class of memristive neural networks (MNNs) with a simple circular connection relationship and complex dynamics by introducing a generic memristor as synapse. One remarkable feature of the proposed MNNs is that they can yield complex dynamics, in particular, abundant coexisting attractors and large-scale parameter-relied amplitude control, by comparing with some existing MNNs. The complex dynamics and circuit implementation of one of the MNNs are studied, and a microcontroller-based hardware circuit is given to realize the network, which verifies the correctness of the numerical results and experimental results.
Article
Engineering, Electrical & Electronic
Weiwei Fan, Xiongjian Chen, Huagan Wu, Ze Li, Quan Xu
Summary: This paper investigates the dynamics of a 3D Morris-Lecar neuron model with a memristive autapse and finds that the memristive autapse can change the firing period and dynamics of the neuron. It is also discovered that increasing the autapse time delay expands the chaotic regions and leads to the emergence of multistability. Additionally, the study explores the synchronization of coupled memristive autaptic neurons and shows that considering the memristive autapse enhances the synchronization of chaotic neurons, with higher autapse gain reducing the required coupling strength for synchronization.
AEU-INTERNATIONAL JOURNAL OF ELECTRONICS AND COMMUNICATIONS
(2023)
Article
Mathematics, Interdisciplinary Applications
Shoukui Ding, Ning Wang, Han Bao, Bei Chen, Huagan Wu, Quan Xu
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
Haotian Wang, Xin Li, Qin Zhou, Wenjun Liu
Summary: This study investigates the dynamics of optical rogue waves in the coupled nonlinear Schrodinger equation using various effective calculation methods. Exact rogue wave solutions are obtained based on the Lax integrable nature of the equation and a new matrix form Darboux transformation. These rogue waves exhibit dark or ultrahigh peak patterns with observable peaks and depressions in their structures. Numerical simulations show that they are more stable than the standard eye-shaped rogue waves. Modulation instability can generate a large number of rogue wave structures from perturbed continuous waves. Spectral analysis allows for the mathematical characterization and prediction of rogue waves in mode-locked fiber lasers. These results contribute to the understanding of ultrashort wave phenomena in optics, plasma, alkali-atom Bose-Einstein condensates, and other physics and engineering domains.
CHAOS SOLITONS & FRACTALS
(2023)
Article
Engineering, Electrical & Electronic
Xi Zhang, Tianshi Wang, Han Bao, Yihua Hu, Bocheng Bao
Summary: This study investigates the stability effect of the feedforward current ripple of a load converter on a source converter in a cascaded power converter. By establishing a map model, the instability mechanism of the source converter under variations of circuit parameters is expounded and the stability boundaries are obtained.
IEEE TRANSACTIONS ON POWER ELECTRONICS
(2023)
Article
Automation & Control Systems
Han Bao, Houzhen Li, Zhongyun Hua, Quan Xu, Bocheng Bao
Summary: This article proposes a 2-D sine-transform-based memristive model to enhance the chaos complexity of a memristor-based discrete system. Complex dynamics with quasi-periodic bifurcation and multistability are demonstrated, and a hardware prototype is developed for experimental verification. Additionally, six pseudorandom number generators are designed using the proposed model, which show high randomness without chaos degradation according to test results.
IEEE TRANSACTIONS ON INDUSTRIAL INFORMATICS
(2023)
Article
Computer Science, Hardware & Architecture
Quan Xu, Shoukui Ding, Han Bao, Bei Chen, Bocheng Bao
Summary: This paper discusses a piecewise-linear activation function (PWL-AF) with simplified circuit implementation and a tri-neuron small-world HNN is built as a paradigm. The numerical results demonstrate that the PWL-AF-based HNN can produce dynamical behaviors like the HNN based on the hyperbolic tangent activation function. The multistability with up to six kinds of coexisting multiple attractors emerged because of the PWL-AF breakpoint, which can give more flexible and potential aspects in multistability-based engineering applications.
JOURNAL OF CIRCUITS SYSTEMS AND COMPUTERS
(2023)
Article
Engineering, Mechanical
Bocheng Bao, Zhuowu Wang, Zhongyun Hua, Mo Chen, Han Bao
Summary: In this paper, an improved discrete tabu learning neuron (IDTLN) model is proposed, which uses sine nonlinearity as the activation function to show the abundant firing regimes of neurons. The theoretical analysis and numerical investigation demonstrate the parameter-related bifurcation, regime transition behaviors, and multi-scroll hyperchaotic attractors generated by the IDTLN model. Additionally, PRNGs based on multi-scroll hyperchaotic sequences provided by the IDTLN model are designed and evaluated for randomness, showing high randomness without chaos degradation. A digital hardware platform is also developed to verify the regime transition and multi-scroll hyperchaos of the IDTLN model.
NONLINEAR DYNAMICS
(2023)
Article
Physics, Multidisciplinary
Zhuowu Wang, Han Bao, Huagan Wu, Mo Chen, Bocheng Bao
Summary: In this article, a two-dimensional discrete adaptive synapse-based neuron (DASN) model without external excitation is proposed using Euler's discretization method. The proposed model has a complicated nonlinear activation function with upper and lower bounds, and its fixed points are not only variable in number, but also have different types of stability, resulting in the emergence of complex dynamics and multi-stability. The dynamical effects of control parameters and initial values on the DASN model are explored, revealing complicated dynamical behaviors such as hyperchaos, chaos, quasi-period, period, etc.
EUROPEAN PHYSICAL JOURNAL PLUS
(2023)
Article
Engineering, Electrical & Electronic
Yang Gu, Han Bao, Quan Xu, Xi Zhang, Bocheng Bao
Summary: This study presents a cascaded bi-memristor (CBM) hyperchaotic map by cascading two memristors with identical memristance to explore the dynamical effects of cascaded memristors. The CBM map exhibits complex dynamics depending on the control parameters and initial states, revealing quasi-periodic bifurcation and hyperchaos. An FPGA implementation is made to experimentally verify the numerical results.
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS
(2023)
Article
Engineering, Multidisciplinary
Han Bao, KeXin Li, Jun Ma, ZhongYun Hua, Quan Xu, BoCheng Bao
Summary: This paper presents an improved ID-Rulkov neuron model by coupling a memristor with a discrete Rulkov neuron model, and investigates the dynamic effects of the memristor on the neuron model. The experimental results demonstrate that the memristor enhances the diversity of the neuron model and generates hyperchaotic attractors.
SCIENCE CHINA-TECHNOLOGICAL SCIENCES
(2023)
Article
Mathematics, Interdisciplinary Applications
Ning Wang, Mengkai Cui, Xihong Yu, Yufan Shan, Quan Xu
Summary: This paper reports the generation of new hidden Chua's attractors using complex number operations. The detailed system construction, equilibrium calculation, and numerical simulation are presented. The paper also visualizes the local basins of attraction of these new hidden Chua's attractors and verifies them through a physical experiment.
CHAOS SOLITONS & FRACTALS
(2023)
Article
Mathematics, Interdisciplinary Applications
Ning Wang, Dan Xu, Ze Li, Quan Xu
Summary: In this paper, a general configuration for nonlinear circuit employing current-controlled nonlinearity is proposed. Two new five-element chaotic circuits are designed and their dynamical properties are analyzed and verified through numerical simulations and circuit measurements.
CHAOS SOLITONS & FRACTALS
(2023)
Article
Engineering, Mechanical
Quan Xu, Liping Huang, Ning Wang, Han Bao, Huagan Wu, Mo Chen
Summary: This paper introduces a memristive Chialvo neuron map with hyperchaotic dynamics, which can generate chaotic sequences with high randomness and without chaos degradation. The stability and dynamical behaviors of the map are disclosed through theoretical analysis and numerical simulation. By regulating the variable axis of the memristor, the homogeneous coexisting chaotic/hyperchaotic attractors can be controlled and boosted with the same periodicity of the sine mem-conductance. Furthermore, the feasibility of the map is experimentally validated on a digital platform. Additionally, a new encryption algorithm is designed using hyperchaotic sequences to encrypt images, which demonstrates good performance in image encryption according to multiple indicators and NIST test results.
NONLINEAR DYNAMICS
(2023)
