Skip to main content
SpringerLink
Log in

Pattern generation by network composed of oscillators and capacitive couplers

  • Research Article
  • Published:
Paladyn

Abstract

This article proposes a network system composed of oscillators and capacitive couplers as an abstract neural circuit model for use in elucidating functional combinations of neural elements. The capacitive couplers produce changes in the interactions between the oscillators and enable various functions that the oscillators alone cannot realize. The functions added by these capacitive couplers include NOR-based logic operations, a falling edge detector, an astable multivibrator, and sequential pattern generation. The results of this study suggest that the incorporation of capacitive functions in an oscillatory network system is a beneficial means of extending the functionality of the system.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. S. Grillner, O. Ekebergb, A. E. Manira, A. Lansner, D. Parker, J. Tegner, P. Wallen: “Intrinsic function of a neuronal network — a vertebrate central pattern generator,” Brain Research Reviews, 26, 184/197, 1998.

    Article  Google Scholar 

  2. H. Kimura, Y. Fukuoka, A. H. Cohen: “Adaptive dynamic walking of a quadruped robot on natural ground based on biological concepts,” The International Journal of Robotics Research, 26(5), 475/490, 2007.

    Article  Google Scholar 

  3. F. Ruffier, S. Viollet, S. Amic, N. Franceschini: “Bio-inspired optical flow circuits for the visual guidance of micro air vehicles,” Proceedings of the International Symposium on Circuits and Systems 2003, 3, 846/849, 2003.

    Google Scholar 

  4. T. Hashimoto, T. Sato, M. Nakatsuka, M. Fujimoto: “Evolutionary constructive approach for studying dynamic complex systems,” In Giuseppe Petrone and Giuliano Cammarata, editors, Recent Advances in Modelling and Simulation, chapter 7.I-Tech Books, 2008.

  5. Y. Obara: “Bombyx mori mating dance: an essential in locating the female,” Applied Entomology and Zoology, 14(1), 130/132, 1979.

    Google Scholar 

  6. W. Li, J.A. Farrell, R.T. Cardé: “Tracking of fluid-advected odor plumes: Strategies inspired by insect orientation to pheromone,” Adaptive Behavior, 9(3–4), 143/170, 2001.

    Google Scholar 

  7. T. Lochmatter, A. Martinoli: “Tracking odor plumes in a laminar wind field with bio-inspired algorithms,” Proceedings of ISER 2008, 54, 473/482, Springer, 2009.

    Google Scholar 

  8. R. Kanzaki, N. Sugi, T. Shibuya: “Self-generated zigzag turning of Bombyx mori males during pheromone-mediated upwind walking,” Zoological Science, 9, 515/527, 1992.

    Google Scholar 

  9. S. Strogatz: “Sync: The Emerging Science of Spontaneous Order,” Hyperion, 2003.

  10. M. Stopfer, M. Wehr, K. Macleod, G. Laurent: “Neural dynamics, oscillatory synchronisation, and odour codes,” In B. S. Hansson, editor, Insect Olfaction, 163/180, Springer, 1999.

  11. T. Funato, D. Kurabayashi, M. Nara, H. Aonuma: “Switching mechanism of sensor-motor coordination through an oscillator network model,” IEEE Transactions on Systems Man and Cybernetics Part B-Cybernetics, 38(3), 764/770, 2008.

    Google Scholar 

  12. J. Perez-Orive, M. Bazhenov, G. Laurent: “Intrinsic and circuit properties favor coincidence detection for decoding oscillatory input,” Journal of Neuroscience, 24(26), 6037/6047, 2004.

    Article  Google Scholar 

  13. Z. Li: “A neural model of contour integration in the primary visual cortex,” Neural Computation, 10, 903/940, 1998.

    Article  Google Scholar 

  14. F.C. Hoppensteadt, E.M. Izhikevich: “Oscillatory neurocomputers with dynamic connectivity,” Physical Review Letters, 82(14), 2383/2386, 1999.

    Article  Google Scholar 

  15. T Moriyama, D. Kurabayashi: “An oscillator network with a temporary memory function,” Proceedings of ROBIO 2008, 2024/2029, 2009.

  16. K. G. Pearson, C. R. Fourtner: “Nonspiking interneuron in walking system of the cockroach,” Journal of Neurophysiology, 38(1), 33/52, 1975.

    Google Scholar 

  17. M. Burrows: “The control of sets of motoneurones by local interneurones in the locust,” Journal of Physiology, 298(1), 213/233, 1980.

    MathSciNet  Google Scholar 

  18. M. Takahata, A. Takashima, R. Hikosaka: “Information processing by nonspiking interneurons: passive and active properties of dendritic membrane determine synaptic integration,” Biosystems, 58(1–3), 143/149, 2000.

    Google Scholar 

  19. M. Takahata, M. Murayama: “Multiple gate control of the descending statocyst-motor pathway in the crayfish Procambarus clarkii Girard,” Journal of Comparative Physiology A, 170(4), 463/477, 1992.

    Article  Google Scholar 

  20. W.J. Heitler, K.G. Pearson: “Non-spiking interactions and local interneurones in the central pattern generator of the crayfish swim-meret system,” Brain Research, 187(1), 206/211, 1980.

    Article  Google Scholar 

  21. D.H. Paul, B. Mulloney: “Nonspiking local interneuron in the motor pattern generator for the crayfish swimmeret,” Journal of Neurophysiology, 54(1), 28/39, 1985.

    Google Scholar 

  22. T. Nagayama, M. Takahata, M. Hisada: “Functional characteristics of local non-spiking interneurons as the pre-motor elements in crayfish,” Journal of Comparative Physiology A, 154(4), 499/510, 1984.

    Article  Google Scholar 

  23. A.T. Winfree: “Biological rhythms and behavior of populations of coupled oscillators,” Journal of Theoretical Biology, 16(1), 15/42, 1967.

    Article  Google Scholar 

  24. J.T. Ariaratnam, S.H. Strogatz: “Phase diagram for the Winfree model of coupled nonlinear oscillators,” Physical Review Letters, 86(19), 4278/4281, 2001.

    Article  Google Scholar 

  25. Y. Kuramoto: “Chemical Oscillations, Waves, and Turbulence,” Springer, 1984.

  26. S. Wada, R. Kanzaki: “Neural Control Mechanisms of the Pheromone-Triggered Programmed Behavior in Male Silkmoths Revealed by Double-Labeling of Descending Interneurons and a Motor Neuron,” Journal of Comparative Neurology, 484, 168/182, 2005.

    Article  Google Scholar 

  27. R. Kanzaki, T. Shibuya: “Descending protocerebral neurons related to the mating dance of the male silkworm moth,” Brain Research, 377, 378/382, 1986.

    Article  Google Scholar 

  28. Y.X. Li, Y.Q. Wang, R. Miura: “Clustering in small networks of excitatory neurons with heterogeneous coupling strengths,” Journal of Computational Neuroscience 14(2), 139/159, 2003.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mechanical and Control Engineering, Tokyo Institute of Technology, 2-12-1 Ookayama, Meguro-ku, Tokyo, 152-8552, Japan

    Takuro Moriyama & Daisuke Kurabayashi

Authors
  1. Takuro Moriyama
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Daisuke Kurabayashi
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Takuro Moriyama.

About this article

Cite this article

Moriyama, T., Kurabayashi, D. Pattern generation by network composed of oscillators and capacitive couplers. Paladyn 2, 36–43 (2011). https://doi.org/10.2478/s13230-011-0014-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.2478/s13230-011-0014-8

Keywords

Search

Navigation