Bifurcations in a coupled system of chaotic neurons generating oscillatory responses

被引:0
|
作者
Musashi, Mio [1 ]
Fujimoto, Ken'ichi [2 ]
Yoshinaga, Tetsuya [2 ]
Aihara, Kazuyuki [3 ,4 ]
机构
[1] Univ Tokushima, Grad Sch Hlth Sci, 3-18-15 Kuramoto, Tokushima 7708509, Japan
[2] Univ Tokushima, Inst Hlth Biosci, Tokushima 7708509, Japan
[3] Univ Tokyo, Inst Ind Sci, Meguro Ku, Tokyo 1538505, Japan
[4] Japan Sci & Technol JST, ERATO, Aihara Complexity Modelling Project, Shibuya Ku, Tokyo 1510064, Japan
关键词
chaotic neuron; bifurcation; discrete-time dynamical system; image segmentation; coupled system;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
We propose a discrete-time dynamical system of coupled chaotic neurons that can generate oscillatory responses formed by periodic points, and which enables us to develop a dynamic image segmentation system. We calculate bifurcations of periodic points, and investigate a mechanism of the generation of oscillatory responses and parameter regions in which they exist stably. http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4604389
引用
收藏
页码:149 / +
页数:2
相关论文
共 50 条
  • [41] Bifurcations in synaptically coupled Hodgkin-Huxley neurons with a periodic input
    Tsumoto, K
    Yoshinaga, T
    Aihara, K
    Kawakami, H
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2003, 13 (03): : 653 - 666
  • [42] Bifurcations and Chaotic Motions of a Class of Mechanical System With Parametric Excitations
    Zhou, Liangqiang
    Chen, Fangqi
    Chen, Yushu
    JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS, 2015, 10 (05):
  • [43] Subharmonic Bifurcations and Chaotic Dynamics for a Class of Ship Power System
    Zhou, Liangqiang
    Chen, Fangqi
    JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS, 2018, 13 (03):
  • [44] Chaotic dynamics and subharmonic bifurcations in a non-linear system
    Kwek, KH
    Li, JB
    INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 1996, 31 (03) : 277 - 295
  • [45] On bifurcations of chaotic attractors in a pulse width modulated control system
    Zhusubaliyev, Zh. T.
    Sopuev, U. A.
    Bushuev, D. A.
    Kucherov, A. S.
    Abdirasulov, A. Z.
    VESTNIK SANKT-PETERBURGSKOGO UNIVERSITETA SERIYA 10 PRIKLADNAYA MATEMATIKA INFORMATIKA PROTSESSY UPRAVLENIYA, 2024, 20 (01): : 62 - 78
  • [46] Bifurcations and Chaotic Dynamics in a Tumour-Immune-Virus System
    Eftimie, R.
    Macnamara, C. K.
    Dushoff, Jonathan
    Bramson, J. L.
    Earn, D. J. D.
    MATHEMATICAL MODELLING OF NATURAL PHENOMENA, 2016, 11 (05) : 65 - 85
  • [47] Bifurcations and chaotic threshold for a nonlinear system with an irrational restoring force
    Tian Rui-Lan
    Yang Xin-Wei
    Cao Qing-Jie
    Wu Qi-Liang
    CHINESE PHYSICS B, 2012, 21 (02)
  • [48] Subharmonic bifurcations and chaotic motions for a class of inverted pendulum system
    Zhou, Liangqiang
    Liu, Shanshan
    Chen, Fangqi
    CHAOS SOLITONS & FRACTALS, 2017, 99 : 270 - 277
  • [49] Ring multicascade auto oscillatory system with chaotic dynamics
    Kal'yanov, Er.V.
    Kislov, V.Ya.
    Kyarginskii, B.E.
    Radiotekhnika, 2005, (03): : 41 - 45
  • [50] Analysis on responses of chaotic Izhikevich neurons to periodic forcing
    Tsukamoto, Yota
    Tsushima, Honami
    Ikeguchi, Tohru
    IEICE NONLINEAR THEORY AND ITS APPLICATIONS, 2023, 14 (04): : 677 - 690