2-D Piecewise-Linear Neuron Model
作者： Han Bao , Chengjie Chen , Yihua Hu , Mo Chen , Bocheng Bao
DOI: 10.1109/TCSII.2020.3026702
关键词:
摘要: This brief presents a novel two-dimensional (2D) piecewise-linear neuron model to characterize the firing activities of tabu learning neuron. The has an alterable equilibrium, and its bifurcation mechanism is effectively analyzed by employing approximate scheme. Coexisting bi-stable patterns are revealed parameter-related demonstrated several numerical methods. Finally, based on standard components, analog electronic circuit implemented verify coexisting patterns. presented with extremely simple algebraic equation structure can be taken as core cell for applications large-scale neuromorphic circuits.
sci-hub.st 参考文章(23)
Eugene M. Izhikevich, Dynamical Systems in Neuroscience ,(2006)
A. L. Hodgkin, A. F. Huxley, A quantitative description of membrane current and its application to conduction and excitation in nerve The Journal of Physiology. ,vol. 117, pp. 500- 544 ,(1952) , 10.1113/JPHYSIOL.1952.SP004764
Chunbiao Li, Julien Clinton Sprott, Wesley Thio, Huanqiang Zhu, A New Piecewise Linear Hyperchaotic Circuit IEEE Transactions on Circuits and Systems Ii-express Briefs. ,vol. 61, pp. 977- 981 ,(2014) , 10.1109/TCSII.2014.2356912
Juebang Yu, Chunguang Li, Guanrong Chen, Xiaofeng Liao, HOPF BIFURCATION AND CHAOS IN TABU LEARNING NEURON MODELS International Journal of Bifurcation and Chaos. ,vol. 15, pp. 2633- 2642 ,(2005) , 10.1142/S0218127405013575
Rachid Behdad, Stephane Binczak, Alexey S. Dmitrichev, Vladimir I. Nekorkin, Jean-Marie Bilbault, Artificial Electrical Morris–Lecar Neuron IEEE Transactions on Neural Networks. ,vol. 26, pp. 1875- 1884 ,(2015) , 10.1109/TNNLS.2014.2360072
S. Binczak, V.B. Kazantsev, V.I. Nekorkin, J.M. Bilbault, Experimental study of bifurcations in modified FitzHugh-Nagumo cell Electronics Letters. ,vol. 39, pp. 961- 962 ,(2003) , 10.1049/EL:20030657
KEHUI SUN, J. C. SPROTT, PERIODICALLY FORCED CHAOTIC SYSTEM WITH SIGNUM NONLINEARITY International Journal of Bifurcation and Chaos. ,vol. 20, pp. 1499- 1507 ,(2010) , 10.1142/S0218127410026642
A Model of Neuronal Bursting Using Three Coupled First Order Differential Equations Proceedings of The Royal Society B: Biological Sciences. ,vol. 221, pp. 87- 102 ,(1984) , 10.1098/RSPB.1984.0024
Xiaofang Hu, Gang Feng, Shukai Duan, Lu Liu, A Memristive Multilayer Cellular Neural Network With Applications to Image Processing IEEE Transactions on Neural Networks. ,vol. 28, pp. 1889- 1901 ,(2017) , 10.1109/TNNLS.2016.2552640
Jun Ma, Jun Tang, A review for dynamics in neuron and neuronal network Nonlinear Dynamics. ,vol. 89, pp. 1569- 1578 ,(2017) , 10.1007/S11071-017-3565-3