Zero-Hopf Bifurcation of a memristive synaptic Hopfield neural network with time delay

Neural Networks - Tập 149 - Trang 146-156 - 2022
Tao Dong1, Xiaomei Gong1, Tingwen Huang2
1Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing, College of Electronics and Information Engineering, Southwest University, Chongqing, 400715, PR China
2Department of Mathematics, Texas A&M University at Qatar, Doha 23874, Qatar

Tài liệu tham khảo

Achouri, 2020, Bogdanov–Takens bifurcation in a neutral delayed Hopfield neural network with bidirectional connection, International Journal of Biomathematics, 13, 10.1142/S1793524520500497 Agliari, 2020, Generalized Guerra’s interpolation schemes for dense associative neural networks, Neural Networks, 128, 254, 10.1016/j.neunet.2020.05.009 Akhmet, 2019, Domain-structured chaos in a Hopfield neural network, International Journal of Bifurcation and Chaos, 29, 10.1142/S0218127419502055 Aouiti, 2020, Global dissipativity of high-order Hopfield bidirectional associative memory neural networks with mixed delays, Neural Computing and Applications, 32, 10183, 10.1007/s00521-019-04552-8 Bao, 2019, Non-fragile state estimation for fractional-order delayed memristive BAM neural networks, Neural Networks, 119, 190, 10.1016/j.neunet.2019.08.003 Chen, 2019, Non-ideal memristor synapse-coupled bi-neuron Hopfield neural network: Numerical simulations and breadboard experiments, AEU - International Journal of Electronics and Communications, 111, 10.1016/j.aeue.2019.152894 Chen, 2019, Coexisting multi-stable patterns in memristor synapse-coupled Hopfield neural network with two neurons, Nonlinear Dynamics, 95, 3385, 10.1007/s11071-019-04762-8 Chen, 2020, Chaos in fractional-order discrete neural networks with application to image encryption, Neural Networks, 125, 174, 10.1016/j.neunet.2020.02.008 Dong, 2020, Neural cryptography based on complex-valued neural network, IEEE Transactions on Neural Networks and Learning Systems, 31, 4999, 10.1109/TNNLS.2019.2955165 Dong, 2013, Hopf-Pitchfork bifurcation in a simplified BAM neural network model with multiple delays, Journal of Computational and Applied Mathematics, 253, 222, 10.1016/j.cam.2013.04.027 Dong, 2021, Pattern formation in a reaction-diffusion BAM neural network with time delay: k1,k2 mode Hopf-zero bifurcation case, IEEE Transactions on Neural Networks and Learning Systems Faydasicok, 2020, A new Lyapunov functional for stability analysis of neutral-type Hopfield neural networks with multiple delays, Neural Networks, 129, 288, 10.1016/j.neunet.2020.06.013 Guckenheimer, 1984, Nonlinear oscillations, dynamical systems, and bifurcations of vector fields, Journal of Applied Mechanics, 51, 947, 10.1115/1.3167759 Guo, 2014, Attractivity analysis of memristor-based cellular neural networks with time-varying delays, IEEE Transactions on Neural Networks & Learning Systems, 25, 704, 10.1109/TNNLS.2013.2280556 Hopfield, 1984, Neurons with graded response have collective computational properties like those of two-state neurons, Proceedings of the National Academy of Sciences, 81, 3088, 10.1073/pnas.81.10.3088 Hu, 2018, Chaotic dynamics in a neural network under electromagnetic radiation, Nonlinear Dynamics, 91, 1541, 10.1007/s11071-017-3963-6 Kazanovich, 2021, A computational model of familiarity detection for natural pictures, abstract images, and random patterns: Combination of deep learning and anti-Hebbian training, Neural Networks, 143, 628, 10.1016/j.neunet.2021.07.022 Kobayashi, 2019, Storage capacity of hyperbolic Hopfield neural networks, Neurocomputing, 369, 185, 10.1016/j.neucom.2019.08.064 Lakshmi, 2020, Hopfield attractor-trusted neural network: an attack-resistant image encryption, Neural Computing and Applications, 32, 11477, 10.1007/s00521-019-04637-4 Lin, 2021, Dynamical robustness and firing modes in multilayer memristive neural networks of nonidentical neurons, Applied Mathematics and Computation, 409 Lin, 2020, Hidden extreme multistability with hyperchaos and transient chaos in a Hopfield neural network affected by electromagnetic radiation, Nonlinear Dynamics, 99, 2369, 10.1007/s11071-019-05408-5 Lin, 2020, Chaotic dynamics in a neural network with different types of external stimuli, Communications in Nonlinear Science and Numerical Simulation, 90, 10.1016/j.cnsns.2020.105390 Mahmoud, 2021, Analysis and control of the fractional chaotic Hopfield neural network, Advances in Difference Equations, 2021, 1, 10.1186/s13662-021-03285-0 Nie, 2021, Exact coexistence and locally asymptotic stability of multiple equilibria for fractional-order delayed Hopfield neural networks with Gaussian activation function, Neural Networks, 142, 690, 10.1016/j.neunet.2021.07.029 Njitacke, 2019, Nonlinear dynamics of three-neurons-based Hopfield neural networks (HNNs): Remerging feigenbaum trees, coexisting bifurcations and multiple attractors, Journal of Circuits, Systems, and Computers, 28, 10.1142/S0218126619501214 Park, 2021, Distributed associative memory network with memory refreshing loss, Neural Networks, 144, 33, 10.1016/j.neunet.2021.07.030 Ruan, 2003, On the zeros of transcendental functions with applications to stability of delay differential equations with two delays, Dynamics of Continuous Discrete and Impulsive Systems Series A, 10, 863 Song, 2019, Multiple bifurcations and periodic coexistence in a delayed Hopfield two-neural system with a monotonic activation function, Advances in Difference Equations, 2019, 1, 10.1186/s13662-019-2066-8 Sun, 2021, Memristor-based Hopfield network circuit for recognition and sequencing application, AEU-International Journal of Electronics and Communications, 134 Takembo, 2019, Effect of electromagnetic radiation on the dynamics of spatiotemporal patterns in memristor-based neuronal network, Nonlinear Dynamics, 95, 1067, 10.1007/s11071-018-4616-0 Thottil, 2017, Nonlinear feedback coupling in hindmarsh-rose neurons, Nonlinear Dynamics, 87, 1879, 10.1007/s11071-016-3160-z Tu, 2021, Lagrange stability of memristive quaternion-valued neural networks with neutral items, Neurocomputing, 399, 380, 10.1016/j.neucom.2020.03.003 Wang, 2020, Delay-induced synchronization in two coupled chaotic memristive Hopfield neural networks, Chaos, Solitons & Fractals, 134, 10.1016/j.chaos.2020.109702 Wu, 2018, Exponential synchronization of memristive neural networks with time delays, Neurocomputing, 297, 1, 10.1016/j.neucom.2018.01.017 Xiao, 2020, Qualitative analysis and bifurcation in a neuron system with memristor characteristics and time delay, IEEE Transactions on Neural Networks and Learning Systems, 32, 1974, 10.1109/TNNLS.2020.2995631 Xu, 2018, Synchronous dynamics in neural system coupled with memristive synapse, Nonlinear Dynamics, 92, 1395, 10.1007/s11071-018-4134-0 Ya, 1998 Yang, 2021, H∞ synchronization of delayed neural networks via event-triggered dynamic output control, Neural Networks, 142, 231, 10.1016/j.neunet.2021.05.009 Yang, 2009, Stability and bifurcation in a simplified five-neuron BAM neural network with delays, Chaos, Solitons & Fractals, 42, 2357, 10.1016/j.chaos.2009.03.123 Yao, 2020, Exponential multistability of memristive Cohen-Grossberg neural networks with stochastic parameter perturbations, Applied Mathematics and Computation, 386, 10.1016/j.amc.2020.125483 Zhang, 2018, Investigation of dynamical behaviors of neurons driven by memristive synapse, Chaos, Solitons & Fractals, 108, 15, 10.1016/j.chaos.2018.01.017 Zhang, 2020, Finite time impulsive synchronization of fractional order memristive BAM neural networks, Neurocomputing, 384, 213, 10.1016/j.neucom.2019.12.056