Basic spike-train properties of a digital spiking neuron

被引：0
|
作者：
Torikai, Hiroyuki [1 ]
机构：
[1] Osaka Univ, Grad Sch Engn Sci, Osaka, Japan
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2008年 / 9卷 / 01期
关键词：
spiking neurons; spike trains; coding; information theory;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A digital spiking neuron is used to generate spike-trains of variable spike-interavals. Multiple co-existing periodic spike-trains are observed, depending on initial state. By focusing on a simple parameter case, we clarify the number of co-existing periodic spike-trains and determine their periods theoretically. Using a spike-interval modulation, the spike-train is coded by a digital sequence. We clarify that the set of co-existing periodic spike-trains is in a one-to-one relation to a set of binary numbers. We finally discuss to what extent these theoretical results may provide the mathematical basis for technological applications.
引用
收藏
页码：183 / 198
页数：16
相关论文
共 50 条
  • [21] Neuronal spike-train responses in the presence of threshold noise
    Coombes, S.
    Thul, R.
    Laudanski, J.
    Palmer, A. R.
    Sumner, C. J.
    FRONTIERS IN LIFE SCIENCE, 2011, 5 (3-4): : 91 - 105
  • [22] STCSNN: High energy efficiency spike-train level spiking neural networks with spatio-temporal conversion
    Xu, Changqing
    Liu, Yi
    Yang, Yintang
    NEUROCOMPUTING, 2024, 607
  • [23] Accuracy of spike-train Fourier reconstruction for colliding nodes
    Akinshin, Andrey
    Batenkov, Dmitry
    Yomdin, Yosef
    2015 INTERNATIONAL CONFERENCE ON SAMPLING THEORY AND APPLICATIONS (SAMPTA), 2015, : 617 - 621
  • [24] Robust spike-train learning in spike-event based weight update
    Shrestha, Sumit Bam
    Song, Qing
    NEURAL NETWORKS, 2017, 96 : 33 - 46
  • [25] MULTIPLE SPIKE-TRAIN ANALYSIS USING MUTUAL INTERVAL MATRIX
    KALUZNY, P
    TARNECKI, R
    ZMYSLOWSKI, W
    JOURNAL OF NEUROSCIENCE METHODS, 1991, 40 (2-3) : 149 - 153
  • [26] Filter-Induced Bifurcation of Simple Spike-Train Dynamics
    Kirikawa, Shota
    Saito, Toshimichi
    IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, 2014, E97A (07) : 1508 - 1515
  • [27] Spike-train bifurcation scaling in two coupled chaotic neurons
    Huerta, R
    Rabinovich, MI
    Abarbanel, HDI
    Bazhenov, M
    PHYSICAL REVIEW E, 1997, 55 (03) : R2108 - R2110
  • [28] Digital spiking neuron and its learning for approximation of various spike-trains
    Torikai, Hiroyuki
    Funew, Atsuo
    Saito, Toshimichi
    NEURAL NETWORKS, 2008, 21 (2-3) : 140 - 149
  • [29] Fundamental analysis of a digital spiking neuron for its spike-based coding
    Torikai, Hiroyuki
    NEURAL INFORMATION PROCESSING, PART II, 2008, 4985 : 87 - 96
  • [30] Modulation of a decision-making process by spatiotemporal spike patterns decoding: evidence from spike-train metrics analysis and spiking neural network modeling
    Laureline Logiaco
    René Quilodran
    Wulfram Gerstner
    Emmanuel Procyk
    Angelo Arleo
    BMC Neuroscience, 14 (Suppl 1)
12345