[1] |
An, H. Y., An, Q. Y. & Yi, Y. [2021] “ Realizing behavior level associative memory learning through three-dimensional memristor-based neuromorphic circuits,” IEEE Trans. Emer. Top. Comput. Intel.5, 668-678. |
[2] |
Bao, B. C., Qian, H., Xu, Q., Chen, M., Wang, J. & Yu, Y. J. [2017] “ Coexisting behaviors of asymmetric attractors in hyperbolic-type memristor based Hopfield neural network,” Front. Comput. Neurosci.11, 81. |
[3] |
Bao, B. C., Chen, C. J., Bao, H., Zhang, X., Xu, Q. & Chen, M. [2019a] “ Dynamical effects of neuron activation gradient on Hopfield neural network: Numerical analyses and hardware experiments,” Int. J. Bifurcation and Chaos29, 1930010-1-15. · Zbl 1415.34083 |
[4] |
Bao, H., Liu, W. B. & Hu, A. H. [2019b] “ Coexisting multiple firing patterns in two adjacent neurons coupled by memristive electromagnetic induction,” Nonlin. Dyn.95, 43-56. |
[5] |
Bao, B. C., Hou, L. P., Zhu, Y. X., Wu, H. G. & Chen, M. [2020a] “ Bifurcation analysis and circuit implementation for a tabu learning neuron model,” Int. J. Electron. Commun. (AEU)121, 153235. |
[6] |
Bao, B. C., Yang, Q. F., Zhu, D., Zhang, Y. Z., Xu, Q. & Chen, M. [2020b] “ Initial-induced coexisting and synchronous firing activities in memristor synapse-coupled Morris-Lecar bi-neuron network,” Nonlin. Dyn.99, 2339-2354. · Zbl 1516.92003 |
[7] |
Bao, H., Hu, A. H., Liu, W. B. & Bao, B. C. [2020c] “ Hidden bursting firings and bifurcation mechanisms in memristive neuron model with threshold electromagnetic induction,” IEEE Trans. Neur. Netw. Learn. Syst.31, 502-511. |
[8] |
Bao, B. C., Zhu, Y. X., Ma, J., Bao, H., Wu, H. G. & Chen, M. [2021] “ Memristive neuron model with an adapting synapse and its hardware experiments,” Sci. China Technol. Sci.64, 1107-1117. |
[9] |
Cessac, B. [2010] “ A view of neural networks as dynamical systems,” Int. J. Bifurcation and Chaos20, 1585-1629. · Zbl 1193.37131 |
[10] |
Chua, L. [2014] “ If its pinched its a memristor,” Semicond. Sci. Technol.29, 104001. |
[11] |
Chen, C. J., Bao, H., Chen, M., Xu, Q. & Bao, B. C. [2019a] “ Non-ideal memristor synapse-coupled neuron Hopfield neural network: Numerical simulations and breadboard experiments,” Int. J. Electron. Commun. (AEU)94, 26-35. |
[12] |
Chen, C. J., Chen, J. Q., Bao, H., Chen, M. & Bao, B. C. [2019b] “ Coexisting multistable patterns in memristor synapse-coupled Hopfield neural network with two neurons,” Nonlin. Dyn.95, 3385-3399. · Zbl 1437.92023 |
[13] |
Chen, M., Chen, C. J., Bao, B. C. & Xu, Q. [2020] “ Initial sensitive dynamics in memristor synapse-coupled Hopfield neural network,” J. Electron. Infor. Tech.42, 870-877. |
[14] |
Danca, M. F. & Kuznetsov, N. [2017] “ Hidden chaotic sets in a Hopfield neural system,” Chaos Solit. Fract.103, 144-150. · Zbl 1380.65423 |
[15] |
Detzmeier, J., Kniger, K. & Blachowicz, T. [2021] “ Asymmetric hysteresis loops in structured ferromagnetic nanoparticles with hard/soft areas,” Nanomaterials11, 800. |
[16] |
Doubla, I. S., Ramakrishnan, B., Njitacke, Z. T., Kengne, J. & Rajagopal, K. [2022] “ Hidden extreme multistability and its control with selection of a desired attractor in a non-autonomous Hopfield neuron,” Int. J. Electron. Commun. (AEU)144, 154059. |
[17] |
Frank, P. [1993] “ Dynamics of a single model neuron,” Int. J. Bifurcation and Chaos2, 271-278. · Zbl 0872.92001 |
[18] |
Gambuzza, L. V., Fortuna, L., Frasca, M. & Gale, E. [2015] “ Experimental evidence of chaos from memristors,” Int. J. Bifurcation and Chaos25, 861-864. |
[19] |
Hou, L. P., Bao, H., Xu, Q., Chen, M. & Bao, B. C. [2021] “ Coexisting infinitely many nonchaotic attractors in a memristive weight-based tabu learning neuron,” Int. J. Bifurcation and Chaos31, 2150189-1-13. · Zbl 1480.34061 |
[20] |
Hu, S. G., Liu, Y., Liu, Z., Chen, T. P., Wang, J. J., Yu, Q., Deng, L. J., Yin, Y. & Hosaka, S. [2015] “ Associative memory realized by a reconfigurable memristive Hopfield neural network,” Nat. Commun.6, 7522. |
[21] |
Hu, B., Guan, Z. H., Chen, G. R. & Chen, C. L. [2021] “ Neuroscience and network dynamics toward brain-inspired intelligence,” IEEE Tran. Cybern.52, 10214-10227. |
[22] |
Hua, M. J., Bao, H., Wu, H. G., Xu, Q. & Bao, B. C. [2022] “ A single neuron model with memristive synaptic weight,” Chinese J. Phys.76, 217-227. · Zbl 1542.34038 |
[23] |
Huang, Y. & Yang, X. S. [2006] “ Hyperchaos and bifurcation in a new class of four-dimensional Hopfield neural networks,” Neurocomputing69(13/15), 1787-1795. |
[24] |
Innocenti, G. & Genesio, R. [2009] “ On the dynamics of chaotic spiking-bursting transition in the Hindmarsh-Rose neuron,” Chaos19, 023124. |
[25] |
Itoh, M. & Chua, L. O. [2011] “ Memristor cellular automata and memristor discrete-time cellular neural networks,” Int. J. Bifurcation and Chaos19, 3605-3656. · Zbl 1182.37014 |
[26] |
Itoh, M. & Chua, L. O. [2020] “ Autoassociative memory cellular neural networks,” Int. J. Bifurcation and Chaos20, 3225-3266. · Zbl 1204.68165 |
[27] |
Jones, I. S. & Kording, K. P. [2021] “ Might a single neuron solve interesting machine learning problems through successive computations on its dendritic tree?” Neural Comput.33, 1554-1571. · Zbl 1469.92032 |
[28] |
Josef, A. N., Gerhard, S., Tamás, R. & Chua, L. O. [1992] “ Cellular neural networks: Theory and circuit design,” Int. J. Circ. Th. Appl.20, 533-553. · Zbl 0775.92008 |
[29] |
Lai, Q., Lai, C., Kuate, P. D. K., Li, C. B. & He, S. B. [2022a] “ Chaos in a simplest cyclic memristive neural network,” Int. J. Bifurcation and Chaos32, 2250042-1-16. · Zbl 1494.34125 |
[30] |
Lai, Q., Wan, Z. Q., Zhang, H. & Chen, G. R. [2022b] “ Design and analysis of multiscroll memristive Hopfield neural network with adjustable memductance and application to image encryption,” IEEE Trans. Neural Netw. Learn. Syst., https://doi.org/10.1109/TNNLS.2022.3146570. |
[31] |
Li, C. G., Chen, G. R. & Liao, X. F. [2004] “ Hopf bifurcation and chaos in a single inertial neuron model with time delay,” Eur. Phys. J. B41, 337-343. |
[32] |
Li, T. & Zhang, D. Z. [2021a] “ Hyperchaotic image encryption based on multiple bit permutation and diffusion,” Entropy23, 510. |
[33] |
Li, H. Z., Hua, Z. Y., Bao, H., Zhu, L., Chen, M. & Bao, B. C. [2021b] “ Two-dimensional memristive hyperchaotic maps and application in secure communication,” IEEE Trans. Ind. Electron.68, 9931-9940. |
[34] |
Li, K. X., Bao, H., Li, H. Z., Ma, J. & Bao, B. C. [2022] “ Memristive Rulkov neuron model with magnetic induction effects,” IEEE Trans. Industr. Inform.18, 1726-1736. |
[35] |
Lin, H. R., Wang, C. H. & Tan, Y. M. [2020] “ Hidden extreme multistability with hyperchaos and transient chaos in a Hopfield neural network affected by electromagnetic radiation,” Nonlin. Dyn.99, 2369-2386. · Zbl 1516.92004 |
[36] |
Lin, H. R., Wang, C. H., Deng, Q. X., Xu, C., Deng, Z. K. & Zhou, C. [2021] “ Review on chaotic dynamics of memristive neuron and neural network,” Nonlin. Dyn.106, 959-973. |
[37] |
Mannan, Z. I., Choi, H., Rajamani, V., Kim, H. & Chua, L. [2017] “ Chua corsage memristor: Phase portraits, basin of attraction, and coexisting pinched hysteresis loops,” Int. J. Bifurcation and Chaos27, 1730011-1-36. · Zbl 1360.34110 |
[38] |
Min, F. H., Cheng, Y. Z., Lu, L. & Li, X. Y. [2021] “ Extreme multistability and antimonotonicity in a Shinriki oscillator with two flux-controlled memristors,” Int. J. Bifurcation and Chaos31, 2150167-1-20. · Zbl 1478.34060 |
[39] |
Njitacke, Z. T., Doubla, I. S., Kengne, J. & Cheukem, A. [2020a] “ Coexistence of firing patterns and its control in two neurons coupled through an asymmetric electrical synapse,” Chaos30, 023101. · Zbl 1432.92024 |
[40] |
Njitacke, Z. T., Kengne, J. & Fotsin, H. B. [2020b] “ Coexistence of multiple stable states and bursting oscillations in a 4D Hopfield neural network,” Circuit, Syst. Signal Process.39, 3424-3444. · Zbl 1471.92037 |
[41] |
Njitacke, Z. T., Isaac, S. D. & Nestor, T. [2021] “ Window of multistability and its control in a simple 3D Hopfield neural network: Application to biomedical image encryption,” Neur. Comput. Appl.33, 6733-6752. |
[42] |
Panahi, S., Jafari, S., Khalaf, A. J. M., Rajagopal, K., Pham, V. T. & Alsaadi, F. E. [2018] “ Complete dynamical analysis of a neuron under magnetic flow effect,” Chinese J. Phys.56, 2254-2264. · Zbl 1543.92012 |
[43] |
Pham, V. T., Volos, C., Vaidyanathan, S., Le, T. P. & Vu, V. Y. [2015] “ A memristor-based hyperchaotic system with hidden attractors: Dynamics, synchronization and circuital emulating,” J. Eng. Sci. Technol. Rev.8, 205-214. |
[44] |
Pham, V. T., Jafari, S., Vaidyanathan, S., Volos, C. & Wang, X. [2016] “ A novel memristive neural network with hidden attractors and its circuitry implementation,” Sci. China Tech. Sci.59, 358-363. |
[45] |
Qi, K., Huang, B. Y. & Zhou, M. C. [2016] “ Dynamic behavior of artificial Hodgkin-Huxley neuron model subject to additive noise,” IEEE Trans. Cybern.46, 2083-2093. |
[46] |
Schack, B. & Weiss, S. [2005] “ Quantification of phase synchronization phenomena and their importance for verbal memory processes,” Biol. Cybern.92, 275-287. · Zbl 1115.92013 |
[47] |
Steur, E., Murguia, C., Fey, R. & Nijmeijer, H. [2016] “ Synchronization and partial synchronization experiments with networks of time-delay coupled Hindmarsh-Rose neurons,” Int. J. Bifurcation and Chaos26, 1650111-1-20. |
[48] |
Strelioff, C. C. & Hübler, A. W. [2006] “ Medium-term prediction of chaos,” Phys. Rev. Lett.96, 044101. |
[49] |
Tan, Z. P., Yang, H. J., Liu, Q. N. & Zeng, Y. C. [2015] “ Analysis and implementation of a simplest charge-controlled memristor chaotic circuit,” Chinese J. Comput. Phys.32, 496-504. |
[50] |
Vaidya, T. & Chatterjee, K. [2019] “ Enhancing the stability of active harmonic filter using artificial neural network-based current control scheme,” IET Power Electron.12, 1121-1130. |
[51] |
Volos, C., Kyprianidis, I. M., Stouboulos, I. N., Muñoz, J. M. & Pham, V. T. [2015] “ Synchronization of chaotic nonlinear circuits via a memristor,” J. Eng. Sci. Technol. Rev.8, 45-51. |
[52] |
Wang, Q. Y., Duan, Z. S., Feng, Z. S., Chen, G. R. & Lu, Q. S. [2008] “ Synchronization transition in gap-junction-coupled leech neurons,” Physica A387, 4404-4410. |
[53] |
Wang, X. M. & Hui, S. Y. R. [2017] “ Graphical modeling of pinched hysteresis loops of memristors,” IET Sci. Meas. Technol.11, 1-21. |
[54] |
Xu, Y., Jia, Y., Ma, J., Alsaedi, A. & Ahmad, B. [2017] “ Synchronization between neurons coupled by memristor,” Chaos Solit. Fract.104, 435-442. |
[55] |
Xu, F., Zhang, J. Q., Fang, T. T., Huang, S. F. & Wang, M. S. [2018] “ Synchronous dynamics in neural system coupled with memristive synapse,” Nonlin. Dyn.92, 1395-1402. |
[56] |
Xu, Q., Ju, Z. T., Ding, S. K., Feng, C. T., Chen, M. & Bao, B. C. [2022] “ Electromagnetic induction effects on electrical activity within a memristive Wilson neuron model,” Cogn. Neurodyn.16, 1221-1231. |
[57] |
Yang, L. A., Zhen, W. A. & Xia, H. B. [2022] “ Multistability analysis of state-dependent switched Hopfield neural networks with the Gaussian-wavelet-type activation function,” Math. Comput. Simulat.196, 232-250. · Zbl 1540.34138 |
[58] |
Zhao, X., Liu, J., Chen, G. R., Chai, L. & Wang, D. [2022] “ Dynamics and synchronization of complex-valued ring networks,” Int. J. Bifurcation and Chaos32, 2230011-1-11. · Zbl 1497.34062 |
[59] |
Zhu, M. H., Wang, C. H., Deng, Q. L. & Hong, Q. H. [2020] “ Locally active memristor with three coexisting pinched hysteresis loops and its emulator circuit,” Int. J. Bifurcation and Chaos30, 2050184-1-12. · Zbl 1456.78013 |