Dynamic analysis of high dimensional HNN with logistic-based memristors and application in military image encryption

The missing memristor found

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Neurons with graded response have collective computational properties like those of two-state neurons.

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Shil'nikov's theorem-a tutorial

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Memristor-induced hyperchaos, multiscroll and extreme multistability in fractional-order HNN: Image encryption and FPGA implementation

Kong, X., Yu, F., Yao, W., Cai, S., Zhang, J., & Lin, H. (2023) · Neural Networks · doi:10.1016/j.neunet.2023.12.008 · Cited by 292

Dynamics analysis, synchronization and FPGA implementation of multiscroll Hopfield neural networks with non-polynomial memristor

Yu, F., Kong, X., Yao, W., Zhang, J., Cai, S., Lin, H., & Jin, J. (2024) · Chaos Solitons & Fractals · doi:10.1016/j.chaos.2023.114440 · Cited by 246

Constructing Multiscroll Memristive Neural Network With Local Activity Memristor and Application in Image Encryption

Lai, Q., Yang, L., Hu, G., Guan, Z., & Iu, H. H. (2024) · IEEE Transactions on Cybernetics · doi:10.1109/tcyb.2024.3377011 · Cited by 195

A New Hyperchaotic Map Based on Discrete Memristor and Meminductor: Dynamics Analysis, Encryption Application, and DSP Implementation

Liu, X., Mou, J., Zhang, Y., & Cao, Y. (2023) · IEEE Transactions on Industrial Electronics · doi:10.1109/tie.2023.3281687 · Cited by 181

A Memristive Fully Connect Neural Network and Application of Medical Image Encryption Based on Central Diffusion Algorithm

Sun, J., Li, C., Wang, Z., & Wang, Y. (2024) · IEEE Transactions on Industrial Informatics · doi:10.1109/tii.2023.3312405 · Cited by 172

Generating Any Number of Initial Offset-Boosted Coexisting Chua’s Double-Scroll Attractors via Piecewise-Nonlinear Memristor

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High-dimensional memristive neural network and its application in commercial data encryption communication

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Secure medical image encryption scheme for Healthcare IoT using novel hyperchaotic map and DNA cubes

Lai, Q., & Hua, H. (2024) · Expert Systems with Applications · doi:10.1016/j.eswa.2024.125854 · Cited by 127

A New Piecewise Linear Hyperchaotic Circuit

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A Self-Reproduction Hyperchaotic Map With Compound Lattice Dynamics

Li, Y., Li, C., Zhang, S., Chen, G., & Zeng, Z. (2022) · IEEE Transactions on Industrial Electronics · doi:10.1109/tie.2022.3144592 · Cited by 117

A Memristive Synapse Control Method to Generate Diversified Multistructure Chaotic Attractors

Lin, H.-R., Wang, C., Xu, C., Zhang, X., & Iu, H. (2023) · IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems · doi:10.1109/tcad.2022.3186516 · Cited by 114

Multidirectional Multidouble-Scroll Hopfield Neural Network With Application to Image Encryption

Zhang, S., Chen, C., Zhang, Y., Cai, J., Wang, X., & Zeng, Z. (2024) · IEEE Transactions on Systems Man and Cybernetics Systems · doi:10.1109/tsmc.2024.3489226 · Cited by 108

Everything You Wish to Know About Memristors but Are Afraid to Ask

Chua, L. O. (2019) · Springer eBooks · doi:10.1007/978-3-319-76375-0_3 · Cited by 78

A class of novel discrete memristive chaotic map

Liu, X., Sun, K., Wang, H., & He, S. (2023) · Chaos Solitons & Fractals · doi:10.1016/j.chaos.2023.113791 · Cited by 75

A novel memristive neuron model and its energy characteristics

Xie, Y., Ye, Z., Li, X., Wang, X., & Jia, Y. (2024) · Cognitive Neurodynamics · doi:10.1007/s11571-024-10065-5 · Cited by 73

A Universal Configuration Framework for Mem-Element-Emulator-Based Bionic Firing Circuits

Xu, Q., Ding, X., Chen, B., Parastesh, F., Iu, H. H., & Wang, N. (2024) · IEEE Transactions on Circuits and Systems I Regular Papers · doi:10.1109/tcsi.2024.3428857 · Cited by 71

Nonvolatile CMOS Memristor, Reconfigurable Array, and Its Application in Power Load Forecasting

Deng, Q., Wang, C., Sun, J., Sun, Y., Jiang, J., Lin, H., & Deng, Z. (2023) · IEEE Transactions on Industrial Informatics · doi:10.1109/tii.2023.3341256 · Cited by 68

A Novel Memristive Multiscroll Multistable Neural Network With Application to Secure Medical Image Communication

Zhang, S., Peng, X., Wang, X., Chen, C., & Zeng, Z. (2024) · IEEE Transactions on Circuits and Systems for Video Technology · doi:10.1109/tcsvt.2024.3483569 · Cited by 66

Extremely multi-stable grid-scroll memristive chaotic system with omni-directional extended attractors and application of weak signal detection

Shen, Y., Li, Y., Li, W., Yao, Q., & Gao, H. (2024) · Chaos Solitons & Fractals · doi:10.1016/j.chaos.2024.115791 · Cited by 48

Offset Boosting-Oriented Construction of Multi-Scroll Attractor via a Memristor Model

Li, Y., Li, C., Zhang, S., Zheng, Y., & Chen, G. (2024) · IEEE Transactions on Circuits and Systems I Regular Papers · doi:10.1109/tcsi.2024.3455350 · Cited by 46

A 4D Trigonometric-Based Memristor Hyperchaotic Map to Ultra-Fast PRNG

Xu, B., Luo, X., Wang, Y., Bai, L., Chen, K., & Zhao, J. (2024) · IEEE Transactions on Industrial Informatics · doi:10.1109/tii.2024.3372017 · Cited by 45

Memristor-Based GFMM Neural Network Circuit of Biology With Multiobjective Decision and its Application in Industrial Autonomous Firefighting

Wang, Y., Tao, K., Wang, Z., & Sun, J. (2025) · IEEE Transactions on Industrial Informatics · doi:10.1109/tii.2025.3558347 · Cited by 45

Memristor-Based Feature Recall Neural Network Circuit With Temporal Differentiation of Emotion and its Application in Parts Inspection

Sun, J., Gao, P., Liu, P., & Wang, Y. (2025) · IEEE Transactions on Industrial Informatics · doi:10.1109/tii.2025.3556069 · Cited by 43

FN-HNN Coupled With Tunable Multistable Memristors and Encryption by Arnold Mapping and Diagonal Diffusion Algorithm

Wang, Y., Su, P., Wang, Z., & Sun, J. (2024) · IEEE Transactions on Circuits and Systems I Regular Papers · doi:10.1109/tcsi.2024.3516722 · Cited by 35

A Memristor-Based Neural Network Circuit With Retrospective Revaluation Effect and Application in Intelligent Household Robots

Sun, J., Shen, Y., Wang, Y., & Wang, Y. (2025) · IEEE Transactions on Neural Networks and Learning Systems · doi:10.1109/tnnls.2025.3539842 · Cited by 33

Coupled Homogeneous Hopfield Neural Networks: Simplest Model Design, Synchronization, and Multiplierless Circuit Implementation

Min, F., Chen, C., & Broderick, N. G. R. (2025) · IEEE Transactions on Neural Networks and Learning Systems · doi:10.1109/tnnls.2025.3539283 · Cited by 27

Reservoir computing system using discrete memristor for chaotic temporal signal processing

Deng, Y., Zhang, S., Yuan, F., Li, Y., & Wang, G. (2025) · Chaos Solitons & Fractals · doi:10.1016/j.chaos.2025.116230 · Cited by 25

Initial condition-offset regulating synchronous dynamics and energy diversity in a memristor-coupled network of memristive HR neurons

Bao, H., Yu, X., Zhang, Y., Liu, X., & Chen, M. (2023) · Chaos Solitons & Fractals · doi:10.1016/j.chaos.2023.114167 · Cited by 20

Transition and bifurcation mechanism of firing activities in memristor synapse-coupled Hindmarsh–Rose bi-neuron model

Chen, M., Zhang, Y., Zhang, Y., Xu, Q., & Wu, H. (2024) · Chaos Solitons & Fractals · doi:10.1016/j.chaos.2024.115574 · Cited by 19

A high-frequency compact memristor emulator circuit and its applications as wave shaping and generation circuit

Gupta, R. K., Joshi, M., Bisen, A., Agarwal, A., & Singh, A. (2025) · Chaos Solitons & Fractals · doi:10.1016/j.chaos.2024.115964 · Cited by 19

Bifurcation Dynamics, Amplitude–Frequency Characteristics of Hopfield Neural Network and Its Application

Min, F., Ji, J., Cao, Y. H., & Xu, Y. (2025) · IEEE Internet of Things Journal · doi:10.1109/jiot.2025.3561933 · Cited by 19

Convolutional neural network for high-performance reservoir computing using dynamic memristors

Byun, Y., So, H., & Kim, S. (2024) · Chaos Solitons & Fractals · doi:10.1016/j.chaos.2024.115536 · Cited by 15

The dynamical behavior effects of different numbers of discrete memristive synaptic coupled neurons

Cheng, M., Wang, K., Xu, X., & Mou, J. (2024) · Cognitive Neurodynamics · doi:10.1007/s11571-024-10172-3 · Cited by 12

Memristor-Based Operant Conditioning Neural Network Circuit With Emotion Transmission and Secondary Conditioned Reflex

Wang, Y., Chen, Y., Wang, Y., & Sun, J. (2025) · IEEE Transactions on Circuits and Systems I Regular Papers · doi:10.1109/tcsi.2025.3552459 · Cited by 12

Memcapacitor-Based Operant Conditioning Neural Network With Deprivation and Its Application in Inspection Robots

Sun, J., Zhou, H., Wang, Z., & Wang, Y. (2025) · IEEE Transactions on Industrial Informatics · doi:10.1109/tii.2025.3575121 · Cited by 12

Sg-snn: a self-organizing spiking neural network based on temporal information

Gao, S., Zhu, R., Yu, Q., Tang, W., & Zhou, H. (2025) · Cognitive Neurodynamics · doi:10.1007/s11571-024-10199-6 · Cited by 10

Dynamics of structured complex-valued Hopfield neural networks

Murthy, G. R., Valle, M. E., Vieira, G. H. A., Rayala, A., & Munugoti, S. D. (2025) · Cognitive Neurodynamics · doi:10.1007/s11571-025-10257-7 · Cited by 10

An effective ECG signal classification method based on a minimalistic memristive reservoir computing system

Wang, X., Meng, Y., Zeng, Y., Lin, Z., & Iu, H. H. (2025) · Cognitive Neurodynamics · doi:10.1007/s11571-025-10295-1 · Cited by 9

Multistability and synchronization of fractional-order memristor-coupled tabu learning neurons model

Ding, D., Chen, S., Yang, Z., Xu, X., Jin, F., Zhu, H., & Liu, X. (2025) · Cognitive Neurodynamics · doi:10.1007/s11571-025-10260-y · Cited by 9

Design of a novel memristor-modulated hyperchaotic map with differential variable input

Fu, B., Sun, Q., Wang, H., & Sun, K. (2025) · Chaos Solitons & Fractals · doi:10.1016/j.chaos.2025.116474 · Cited by 8

A memristor-based circuit design of avoidance learning with time delay and its application

Sun, J., Wang, H., Xu, Y., Liu, P., & Wang, Y. (2024) · Cognitive Neurodynamics · doi:10.1007/s11571-024-10173-2 · Cited by 6

Dynamic analysis of multi-spiral chaotic inertia model with a cyclic configuration involving four homogeneous HNN cells: stability analysis, analog and digital verifications

Koinfo, J. B., Jiang, D., Chedjou, J. C., Kengne, J., & Nosirov, K. (2025) · Cognitive Neurodynamics · doi:10.1007/s11571-025-10240-2 · Cited by 5

Nonlinear dynamics, chaos and control of the Hindmarsh-Rose neuron model

Chavarette, F. R., & de Lima, R. S. (2022) · Boletim da Sociedade Paranaense de Matemática · doi:10.5269/bspm.47770 · Cited by 4

A novel memristor-based hyperchaotic hybrid encryption system with DNA for image encryption on the Jetson TX2

Ulutas, H. (2025) · Scientific Reports · doi:10.1038/s41598-025-21604-3 · Cited by 17

A robust color image encryption algorithm based on 2D-SQSM hyperchaotic map and cyclic shift scrambling

Liu, F., & Wu, S. (2025) · PLoS ONE · doi:10.1371/journal.pone.0333640 · Cited by 8

Offset-controlled plane dynamics in dual memristors-radiated discrete Hopfield neuron

Zhang, S., Wang, C., Lin, H., Zhang, H., & Ma, P. (2025) · Chaos Solitons & Fractals · doi:10.1016/j.chaos.2025.117675 · Cited by 7

A novel hybrid medical image encryption scheme based on memristive chaos and DNA-ARX-3DES with Real-Time implementation

Süzgen, E. E., Şahin, M. E., & Ulutaş, H. (2026) · Scientific Reports · doi:10.1038/s41598-026-36824-4 · Cited by 7

Multi-image encryption algorithm based on three-dimensional simplified quadratic sine map and global index swizzle

Liu, F., & Wu, S. (2026) · Physica Scripta · doi:10.1088/1402-4896/ae3445 · Cited by 3

A dual-neuron memristive hopfield neural network and its application in image encryption

Liu, L., Huang, Y., Chen, Z., Chen, C., Chen, L., Yao, W., & Jin, J. (2025) · Nonlinear Dynamics · doi:10.1007/s11071-025-11141-z · Cited by 14

Dynamic analysis of spatial multi-structure Hopfield neural networks with extreme multi-stable homogeneous attractors based on ISRU memristor coupling

Sun, J., Shen, M., Wang, Z., & Wang, Y. (2026) · Chaos Solitons & Fractals · doi:10.1016/j.chaos.2026.118421

Application of Memristor Coupled Hopfield Neural Network in Image Encryption

Gao, H., Yan, H., & Xu, H. (2025) · IEEE International Conference on Information Systems and Computer Aided Education (ICISCAE) · doi:10.1109/iciscae66104.2025.11307739

A novel memristive Hopfield neural network with grid attractor and its application in image encryption

Guo, A., & Fan, C. (2025) · Physica A Statistical Mechanics and its Applications · doi:10.1016/j.physa.2025.131005 · Cited by 4

Memristive Hopfield Neural Network with Hidden Multiple Attractors and Its Application in Color Image Encryption

Hu, Z., & Zhao, Z. (2025) · Mathematics · doi:10.3390/math13243972 · Cited by 4