Citation: | Mo CHEN, Chengjie CHEN, Bocheng BAO, Quan XU. Initial Sensitive Dynamics in Memristor Synapse-coupled Hopfield Neural Network[J]. Journal of Electronics & Information Technology, 2020, 42(4): 870-877. doi: 10.11999/JEIT190858 |
HOPFIELD J J. Neurons with graded response have collective computational properties like those of two-state neurons[J]. Proceedings of the National Academy of Sciences of the United States of America, 1984, 81(10): 3088–3092. doi: 10.1073/pnas.81.10.3088
|
KORN H and FAURE P. Is there chaos in the brain? II. Experimental evidence and related models[J]. Comptes Rendus Biologies, 2003, 326(9): 787–840. doi: 10.1016/j.crvi.2003.09.011
|
MA Jun and TANG Jun. A review for dynamics in neuron and neuronal network[J]. Nonlinear Dynamics, 2017, 89(3): 1569–1578. doi: 10.1007/s11071-017-3565-3
|
阮秀凯, 张志涌. 基于连续Hopfield型神经网络的QAM信号盲检测[J]. 电子与信息学报, 2011, 33(7): 1600–1605. doi: 10.3724/SP.J.1146.2010.01271
RUAN Xiukai and ZHANG Zhiyong. Blind detection of QAM signals using continuous Hopfield-type neural network[J]. Journal of Electronics &Information Technology, 2011, 33(7): 1600–1605. doi: 10.3724/SP.J.1146.2010.01271
|
HILLAR C J and TRAN N M. Robust exponential memory in Hopfield networks[J]. The Journal of Mathematical Neuroscience, 2018, 8: 1–20. doi: 10.1186/s13408-017-0056-2
|
王春华, 蔺海荣, 孙晶如, 等. 基于忆阻器的混沌、存储器及神经网络电路研究进展[J]. 电子与信息学报, 2020, 42(4): 795–810. doi: 10.11999/JEIT190821
WANG Chunhua, LIN Hairong, SUN Jingru, et al. Research progress on chaos, memory and neural network circuits based on memristor[J]. Journal of Electronics &Information Technology, 2020, 42(4): 795–810. doi: 10.11999/JEIT190821
|
NJITACKE Z T and KENGNE J. Complex dynamics of a 4D Hopfield Neural Networks (HNNs) with a nonlinear synaptic weight: Coexistence of multiple attractors and remerging Feigenbaum trees[J]. AEU-International Journal of Electronics and Communications, 2018, 93: 242–252. doi: 10.1016/j.aeue.2018.06.025
|
DANCA M F and KUZNETSOV N. Hidden chaotic sets in a Hopfield neural system[J]. Chaos, Solitons & Fractals, 2017, 103: 144–150. doi: 10.1016/j.chaos.2017.06.002
|
RAJAGOPAL K, MUNOZ-PACHECO J M, PHAM V T, et al. A Hopfield neural network with multiple attractors and its FPGA design[J]. The European Physical Journal Special Topics, 2018, 227(7/9): 811–820. doi: 10.1140/epjst/e2018-800018-7
|
BAO Bocheng, CHEN Chengjie, BAO Han, et al. Dynamical effects of neuron activation gradient on Hopfield neural network: Numerical analyses and hardware experiments[J]. International Journal of Bifurcation and Chaos, 2019, 29(4): 1930010. doi: 10.1142/S0218127419300106
|
NJITACKE Z T, KENGNE J, FOZIN T F, et al. Dynamical analysis of a novel 4-neurons based Hopfield neural network: emergences of antimonotonicity and coexistence of multiple stable states[J]. International Journal of Dynamics and Control, 2019, 7(3): 823–841. doi: 10.1007/s40435-019-00509-w
|
刘益春, 林亚, 王中强, 等. 氧化物基忆阻型神经突触器件[J]. 物理学报, 2019, 68(16): 168504. doi: 10.7498/aps.68.20191262
LIU Yichun, LIN Ya, WANG Zhongqiang, et al. Oxide-based memristive neuromorphic synaptic devices[J]. Acta Physica Sinica, 2019, 68(16): 168504. doi: 10.7498/aps.68.20191262
|
PHAM V T, JAFARI S, VAIDYANATHAN S, et al. A novel memristive neural network with hidden attractors and its circuitry implementation[J]. Science China Technological Sciences, 2016, 59(3): 358–363. doi: 10.1007/s11431-015-5981-2
|
BAO Bocheng, QIAN Hui, XU Quan, et al. Coexisting behaviors of asymmetric attractors in hyperbolic-type memristor based Hopfield neural network[J]. Frontiers in Computational Neuroscience, 2017, 11: No. 81, 1–14. doi: 10.3389/fncom.2017.00081
|
HU Xiaoyu, LIU Chongxin, LIU Ling, et al. Chaotic dynamics in a neural network under electromagnetic radiation[J]. Nonlinear Dynamics, 2018, 91(3): 1541–1554. doi: 10.1007/s11071-017-3963-6
|
LIN Hairong and WANG Chunhua. Influences of electromagnetic radiation distribution on chaotic dynamics of a neural network[J]. Applied Mathematics and Computation, 2020, 369: 124840. doi: 10.1016/j.amc.2019.124840
|
BAO Han, HU Aihuang, LIU Wenbo, et al. Hidden bursting firings and bifurcation mechanisms in memristive neuron model with threshold electromagnetic induction[J]. IEEE Transactions on Neural Networks and Learning Systems, 2020, 31(2): 502–511. doi: 10.1109/TNNLS.2019.2905137
|
XU Fei, ZHANG Jiqian, JIN Meng, et al. Chimera states and synchronization behavior in multilayer memristive neural networks[J]. Nonlinear Dynamics, 2018, 94(2): 775–783. doi: 10.1007/s11071-018-4393-9
|
BAO Han, LIU Wenbo, and HU Aihuang. Coexisting multiple firing patterns in two adjacent neurons coupled by memristive electromagnetic induction[J]. Nonlinear Dynamics, 2019, 95(1): 43–56. doi: 10.1007/s11071-018-4549-7
|
CHEN Chengjie, CHEN Jingqi, BAO Han, et al. Coexisting multi-stable patterns in memristor synapse-coupled Hopfield neural network with two neurons[J]. Nonlinear Dynamics, 2019, 95(4): 3385–3399. doi: 10.1007/s11071-019-04762-8
|
CHEN Chengjie, BAO Han, CHEN Mo, et al. Non-ideal memristor synapse-coupled bi-neuron Hopfield neural network: Numerical simulations and breadboard experiments[J]. AEU-International Journal of Electronics and Communications, 2019, 111: 152894. doi: 10.1016/j.aeue.2019.152894
|
BREAKSPEAR M. Dynamic models of large-scale brain activity[J]. Nature Neuroscience, 2017, 20(3): 340–352. doi: 10.1038/nn.4497
|
WANG Guangyi, YUAN Fang, CHEN Guanrong, et al. Coexisting multiple attractors and riddled basins of a memristive system[J]. Chaos: An Interdisciplinary Journal of Nonlinear Science, 2018, 28(1): 013125. doi: 10.1063/1.5004001
|