DYNAMICS IN A CLASS OF NEURON MODELS

被引：0
|
作者：
Wang Junping (Dept. of Math. and Physics
机构：
来源：
Annals of Applied Mathematics | 2009年 / 01期
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
  • [31] A Class of Pairwise Models for Epidemic Dynamics on Weighted Networks
    Prapanporn Rattana
    Konstantin B. Blyuss
    Ken T. D. Eames
    Istvan Z. Kiss
    Bulletin of Mathematical Biology, 2013, 75 : 466 - 490
  • [32] Coherence resonance in models of an excitable neuron with noise in both the fast and slow dynamics
    Hilborn, RC
    Erwin, RJ
    PHYSICS LETTERS A, 2004, 322 (1-2) : 19 - 24
  • [33] Noise-induced cooperative dynamics and its control in coupled neuron models
    Hauschildt, B.
    Janson, N. B.
    Balanov, A.
    Schoell, E.
    PHYSICAL REVIEW E, 2006, 74 (05):
  • [34] Spiny Projection Neuron Dynamics in Toxin and Transgenic Models of Parkinson's Disease
    Du, Yijuan
    Graves, Steven M.
    FRONTIERS IN NEURAL CIRCUITS, 2019, 13
  • [35] THE DYNAMICS OF RECURRENT NEURON
    TSUBATA, T
    KAWABATA, H
    SHIRAO, Y
    HIRATA, M
    NAGAHARA, T
    INAGAKI, Y
    IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, 1992, E75A (07) : 923 - 927
  • [36] THE DYNAMICS OF THE AB NEURON
    GUCKENHEIMER, J
    GUERON, S
    HARRISWARRICK, RM
    BIOPHYSICAL JOURNAL, 1993, 64 (02) : A98 - A98
  • [37] A SCALING LIMIT OF THE GLAUBER DYNAMICS FOR A CLASS OF NEURAL NETWORK MODELS
    KOCH, H
    JOURNAL OF MATHEMATICAL PHYSICS, 1991, 32 (11) : 3162 - 3167
  • [38] DYNAMICS OF A CLASS OF FINANCIAL HERDING MODELS WITH MULTI-GROUPS
    Li, Wenlei
    Shi, Shaoyun
    Zhao, Qingjian
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2025,
  • [39] Solution of a new class of nonlinear kinetic models of population dynamics
    Department of Mechanics, University of Udine, Udine, Italy
    不详
    Appl Math Lett, 2 (65-70):
  • [40] A class of delayed virus dynamics models with multiple target cells
    Xia Wang
    Yuefen Chen
    Shengqiang Liu
    Xinyu Song
    Computational and Applied Mathematics, 2013, 32 : 211 - 229
12345