Synchronization Via Multiplex Spike-Trains in Digital Pulse Coupled Networks

  • Takahiro Kabe
  • Hiroyuki Torikai
  • Toshimichi Saito
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4234)


This paper studies pulse-coupled network of digital spiking neurons and its basic dynamics. The neuron is constructed by coupling two shift registers and has a variety of spike-trains which correspond to digital codes through a inter-spike interval (ISI) modulation. The pulse-coupled network has master-slave configuration. All the spike-trains of neurons in the master side are multiplexed additionally and are transmitted to the slave side via single line. Neurons in the slave side are connected by dynamic winner-take-all function. As parameters are selected suitably, the slave can realize demultiplexing and master-slave synchronization is achieved. VHDL simulation is also discussed for FPGA implementation and this digital network is compared with an analog network.


Spike Train Digital Code FPGA Implementation Pulse Couple Neural Network Synchronization Phenomenon 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Torikai, H., Hamanaka, H., Saito, T.: Novel digital spiking neuron and its pulse-coupled network: spike position coding and multiplex communication. In: Proc. IJCNN, pp. 3249–3254 (2005)Google Scholar
  2. 2.
    Glass, L., Mackey, M.C.: A simple model for phase locking of biological oscillators. J. Math. Biology 7, 339–352 (1979)CrossRefMATHMathSciNetGoogle Scholar
  3. 3.
    Perez, R., Glass, L.: Bistability, period doubling bifurcations and chaos in a periodically forced oscillator. Phys. Lett. 9, 441–443 (1982)MathSciNetGoogle Scholar
  4. 4.
    Lee, G., Farhat, N.H.: The bifurcating neuron network 1. Neural networks 14, 115–131 (2001)CrossRefGoogle Scholar
  5. 5.
    Torikai, H., Saito, T., Schwarz, W.: Synchronization via multiplex pulse-train. IEEE Trans. Circuits Syst. I 46(9), 1072–1085 (1999)CrossRefGoogle Scholar
  6. 6.
    Torikai, H., Saito, T.: Synchronization phenomena in pulse-coupled networks driven by spike-train inputs. IEEE Trans. Neural Networks 15(2), 337–347 (2004)CrossRefGoogle Scholar
  7. 7.
    Kon’no, Y., Saito, T., Torikai, H.: Rich dynamics of pulse-coupled spiking neurons with a triangular base signal. Neural Networks 18, 523–531 (2005)CrossRefGoogle Scholar
  8. 8.
    Kim, S.C., Lee, B.G.: A theory on sequence spaces and shift register generators. IEEE Trans. Comm. 44(5), 609–618 (1996)CrossRefGoogle Scholar
  9. 9.
    Guan, S., Zhang, S.: An evolutionary approach to the design of controllable cellular automata structure for random number generation. IEEE Trans. Evolutionary Computation 7(1), 23–26 (2003)CrossRefGoogle Scholar
  10. 10.
    Hopfield, J.J., Herz, A.V.M.: Rapid local synchronization of action potentials: Toward computation with coupled integrate-and-fire neurons. Proc. Natl. Acad. Sci. 92(15), 6655–6662 (1995)CrossRefGoogle Scholar
  11. 11.
    Campbell, S.R., Wang, D., Jayaprakash, C.: Synchrony and desynchrony in integrate-and-fire oscillators. Neural Comput. 11, 1595–1619 (1999)CrossRefGoogle Scholar
  12. 12.
    Nakano, H., Saito, T.: Grouping synchronization in a pulse-coupled network of chaotic spiking oscillators. IEEE Trans 15(5), 1018–1026 (2004)Google Scholar
  13. 13.
    Izhikevich, E.M.: Weakly pulse-coupled oscillators, FM interactions, synchronization, and oscillatory associative memory. IEEE Trans. Neural Networks 10(3), 508–526 (1999)CrossRefGoogle Scholar
  14. 14.
    Maggio, G.M., Rulkov, N., Reggiani, L.: Pseudo-chaotic time hopping for UWB impulse radio. IEEE Trans. Circuits Syst. I 48(12), 1424–1435 (2001)CrossRefMATHMathSciNetGoogle Scholar
  15. 15.
    Torikai, H., Hamanaka, H., Saito, T.: Reconfigurable Digital Spiking Neuron and its Pulse-Coupled Network: Basic Characteristics and Potential Applications. IEEE Trans. Circuits Syst. II (2006)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Takahiro Kabe
    • 1
  • Hiroyuki Torikai
    • 1
  • Toshimichi Saito
    • 1
  1. 1.EECE DeptHosei UniversityTokyoJapan

Personalised recommendations