DYNAMICS IN A CLASS OF NEURON MODELS

被引:0
|
作者
Wang Junping (Dept. of Math. and Physics
机构
关键词
discrete-time neuron model; periodic activation function; periodic-doubling bifurcation; anti-integrable limit method; chaos;
D O I
暂无
中图分类号
O175 [微分方程、积分方程];
学科分类号
070104 ;
摘要
In this paper, we investigate the dynamics in a class of discrete-time neuron mod-els. The neuron model we discussed, defined by such periodic input-output mapping as a sinusoidal function, has a remarkably larger memory capacity than the conven-tional association system with the monotonous function. Our results show that the orbit of the model takes a conventional bifurcation route, from stable equilibrium, to periodicity, even to chaotic region. And the theoretical analysis is verified by numerical simulations.
引用
收藏
页码:67 / 73
页数:7
相关论文
共 50 条
  • [41] Bifurcations of a class of singular biological economic models
    Zhang, Xue
    Zhang, Qing-ling
    Zhang, Yue
    CHAOS SOLITONS & FRACTALS, 2009, 40 (03) : 1309 - 1318
  • [42] Complex dynamics of a neuron model with discontinuous magnetic induction and exposed to external radiation
    Parastesh, Fatemeh
    Rajagopal, Karthikeyan
    Karthikeyan, Anitha
    Alsaedi, Ahmed
    Hayat, Tasawar
    Viet-Thanh Pham
    COGNITIVE NEURODYNAMICS, 2018, 12 (06) : 607 - 614
  • [43] The dynamics of a memristor-based Rulkov neuron with fractional-order difference
    Lu, Yan-Mei
    Wang, Chun-Hua
    Deng, Quan-Li
    Xu, Cong
    CHINESE PHYSICS B, 2022, 31 (06)
  • [44] Second type of criticality in the brain uncovers rich multiple-neuron dynamics
    Dahmen, David
    Gruen, Sonja
    Diesmann, Markus
    Helias, Moritz
    PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2019, 116 (26) : 13051 - 13060
  • [45] A neuron circuit based on memristor and negative capacitor: Dynamics analysis and hardware implementation
    Shi, Shuyu
    Liang, Yan
    Li, Yiqing
    Lu, Zhenzhou
    Dong, Yujiao
    CHAOS SOLITONS & FRACTALS, 2024, 180
  • [46] Dynamics of array mechanical arms coupled each to a Fitzhugh-Nagumo neuron
    Mbeunga, N. K.
    Nana, B.
    Woafo, P.
    CHAOS SOLITONS & FRACTALS, 2021, 153
  • [47] Complex network dynamics of a memristor neuron model with piecewise linear activation function
    Karthikeyan, Anitha
    Srinivasan, Ashokkumar
    Arun, Sundaram
    Rajagopal, Karthikeyan
    EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS, 2022, 231 (22-23) : 4089 - 4096
  • [48] Analysis of dynamics of a map-based neuron model via Lorenz maps
    Bartlomiejczyk, Piotr
    Trujillo, Frank Llovera
    Signerska-Rynkowska, Justyna
    CHAOS, 2024, 34 (04)
  • [49] Dynamics in the Reduced Mean-Field Model of Neuron-Glial Interaction
    Olenin, Sergey M.
    Levanova, Tatiana A.
    Stasenko, Sergey V.
    MATHEMATICS, 2023, 11 (09)
  • [50] GENERAL DYNAMICS IN OVERLAPPING GENERATIONS MODELS
    CARRERA, C
    MORAN, M
    JOURNAL OF ECONOMIC DYNAMICS & CONTROL, 1995, 19 (04) : 813 - 830