Feedback Linearization Control of Chaos Synchronization in Coupled Map-Based Neurons Under External Electrical Stimulation

被引：5
作者：
Yu, Hai-Tao [1 ]
Wong, Yiu Kwong [2 ]
Chan, Wai Lok [2 ]
Tsang, Kai Ming [2 ]
Wang, Jiang [1 ]
机构：
[1] Tianjin Univ, Sch Elect Engn & Automat, Tianjin 300072, Peoples R China
[2] Hong Kong Polytech Univ, Dept Elect Engn, Kowloon, Hong Kong, Peoples R China
来源：
INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS | 2011年 / 9卷 / 05期
基金：
中国国家自然科学基金;
关键词：
Chaos synchronization; external electrical stimulation; feedback linearization control; map-based model; VISUAL-CORTEX; OSCILLATIONS; SYSTEMS; FIELDS; REGULARIZATION; MECHANISM; NETWORKS; BURSTS;
D O I：
10.1007/s12555-011-0507-6
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, the dynamics of single and two electrically coupled map-based neurons under external electrical stimulation is studied. In order to realize the synchronization of two chaotic spiking neurons, a controller based on the idea of feedback linearization is proposed. The simulation results demonstrate the effectiveness of this developed control method. An important feature of the feedback control is that the amplitude of control signal tends to zero as soon as the synchronization is achieved.
引用
收藏
页码：867 / 874
页数：8
相关论文
共 42 条
  • [1] Delayed feedback control of bursting synchronization in a scale-free neuronal network
    Batista, C. A. S.
    Lopes, S. R.
    Viana, R. L.
    Batista, A. M.
    [J]. NEURAL NETWORKS, 2010, 23 (01) : 114 - 124
  • [2] Effect of synaptic connectivity on long-range synchronization of fast cortical oscillations
    Bazhenov, M.
    Rulkov, N. F.
    Timofeev, I.
    [J]. JOURNAL OF NEUROPHYSIOLOGY, 2008, 100 (03) : 1562 - 1575
  • [3] INFLUENCE OF ELECTROMAGNETIC-FIELDS ON THE EFFLUX OF CALCIUM-IONS FROM BRAIN-TISSUE INVITRO - A 3-MODEL ANALYSIS CONSISTENT WITH THE FREQUENCY-RESPONSE UP TO 510 HZ
    BLACKMAN, CF
    BENANE, SG
    ELLIOTT, DJ
    HOUSE, DE
    POLLOCK, MM
    [J]. BIOELECTROMAGNETICS, 1988, 9 (03) : 215 - 227
  • [4] The synchronization of chaotic systems
    Boccaletti, S
    Kurths, J
    Osipov, G
    Valladares, DL
    Zhou, CS
    [J]. PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2002, 366 (1-2): : 1 - 101
  • [5] A mechanism for elliptic-like bursting and synchronization of bursts in a map-based neuron network
    Cao, Hongjun
    Sanjuan, Miguel A. F.
    [J]. COGNITIVE PROCESSING, 2009, 10 : S23 - S31
  • [6] Robust synchronization control of coupled chaotic neurons under external electrical stimulation
    Che, Yan-Qiu
    Wang, Jiang
    Zhou, Si-Si
    Deng, Bin
    [J]. CHAOS SOLITONS & FRACTALS, 2009, 40 (03) : 1333 - 1342
  • [7] Unidirectional synchronization of Hodgkin-Huxley neurons
    Cornejo-Pérez, O
    Femat, R
    [J]. CHAOS SOLITONS & FRACTALS, 2005, 25 (01) : 43 - 53
  • [8] Synchronizing two coupled chaotic neurons in external electrical stimulation using backstepping control
    Deng, B
    Wang, J
    Fei, XY
    [J]. CHAOS SOLITONS & FRACTALS, 2006, 29 (01) : 182 - 189
  • [9] Enhancement of neural synchrony by time delay
    Dhamala, M
    Jirsa, VK
    Ding, MZ
    [J]. PHYSICAL REVIEW LETTERS, 2004, 92 (07)
  • [10] COHERENT OSCILLATIONS - A MECHANISM OF FEATURE LINKING IN THE VISUAL-CORTEX - MULTIPLE ELECTRODE AND CORRELATION ANALYSES IN THE CAT
    ECKHORN, R
    BAUER, R
    JORDAN, W
    BROSCH, M
    KRUSE, W
    MUNK, M
    REITBOECK, HJ
    [J]. BIOLOGICAL CYBERNETICS, 1988, 60 (02) : 121 - 130
12345