Skip to main content
SpringerLink
Log in

Asynchronous Bifurcation Processor: Fundamental Concepts and Application Examples

  • Conference paper
  • First Online:
Proceedings of the 4th International Conference on Applications in Nonlinear Dynamics (ICAND 2016) (ICAND 2016)

Part of the book series: Lecture Notes in Networks and Systems ((LNNS,volume 6))

Included in the following conference series:

  • 429 Accesses

Abstract

In this manuscript fundamental concepts and principles of an asynchronous bifurcation processor are explained. Then some of recently developed neural system models (i.e., a multi-compartment neuron model and a cochlear partition model) based on the concept of the asynchronous bifurcation processor are discussed.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. T. Matsubara, H. Torikai, Asynchronous cellular automaton based neuron: theoretical analysis and on-FPGA learning. IEEE Trans. NNLS 24(5), 736–748 (2013)

    Google Scholar 

  2. T. Matsubara, H. Torikai, T. Hishiki, A generalized rotate-and-fire digital spiking neuron model and its on-FPGA learning. IEEE Trans. CAS-II 58(10), 677–681 (2011)

    Google Scholar 

  3. T. Hishiki, H. Torikai, A novel rotate-and-fire digital spiking neuron and its neuron-like bifurcations and responses. IEEE Trans. NN 22(5), 752–767 (2011)

    Article  Google Scholar 

  4. S. Hashimoto, H. Torikai, A novel hybrid spiking neuron: bifurcations, responses, and on-chip learning. IEEE Trans. CAS-I 57(8), 2168–2181 (2010)

    Article  MathSciNet  Google Scholar 

  5. K. Isobe, H. Torikai, A novel hardware-efficient asynchronous cellular automaton model of spike-timing dependent synaptic plasticity. IEEE Trans. CAS-II

    Google Scholar 

  6. N. Shimada, H. Torikai, A novel asynchronous cellular automaton multi-compartment neuron model. IEEE Trans. CAS-II 62(8), 776–780 (2015)

    Google Scholar 

  7. N. Jodai, H. Torikai, A hardware-efficient multi-compartment soma-dendrite model based on asynchronous cellular automaton dynamics. Proc. IJCNN (2016)

    Google Scholar 

  8. T. Naka, H. Torikai, Multi-compartment neuron model based on asynchronous bifurcation processor. Proc. NOLTA (2016)

    Google Scholar 

  9. T. Matsubara, H. Torikai, An asynchronous recurrent network of cellular automaton-based neurons and its reproduction of spiking neural network activities. IEEE Trans. NNLS

    Google Scholar 

  10. H. Ishimoto, M. Izawa, H. Torikai, A novel cochlea partition model based on asynchronous bifurcation processor. IEICE NOLTA J. 6(2), 207–225 (2015)

    Article  Google Scholar 

  11. M. Izawa, H. Torikai, Asynchronous cellular automaton model of spiral ganglion cell in the mammalian cochlea: theoretical analyses and fpga implementation. IEICE Trans. Fundam. E98-A(2), 684-699 (2015)

    Google Scholar 

  12. T. Noguchi, H. Torikai, Ghost stochastic resonance from asynchronous cellular automaton neuron model. IEEE Trans. CAS-II 60(2), 111–115 (2013)

    Google Scholar 

  13. M. Izawa, H. Torikai, A novel hardware-efficient cochlea model based on asynchronous cellular automaton. Proc. IJCNN, paper ID 15745, (2015)

    Google Scholar 

  14. K. Takeda, H. Torikai, Reproduction of nonlinear cochlea response by asynchronous bifurcation processor. Proc. NOLTA (2016)

    Google Scholar 

  15. W. Rall, Electrophysiology of a dendritic neuron model. Biophys. J. 2(2), 145–167 (1962)

    Article  Google Scholar 

  16. E. Hay, S. Hill, F. Schurmann, H. Markram, I. Segev, Models of neocortical layer 5b pyramidal cells capturing a wide range of dendritic and perisomatic active properties. PLOS Comput. Biol. 7(7), e1002107 (2011)

    Article  Google Scholar 

  17. E.M. Izhikevich, Dynamical Systems in Neuroscience (The MIT Press, 2010)

    Google Scholar 

  18. P.J. Sjostrom, E.A. Rancz, A. Roth, M. Hausser, Dendritic excitability and synaptic plasticity. Physiol. Rev. 88(2), 769–840 (2008)

    Article  Google Scholar 

  19. W.R. Chen, J. Midtgaard, G.M. Shepherd, Forward and backward propagation of dendritic impulses and their synaptic control in mitral cells. Science 278(5337), 463–467 (1997)

    Article  Google Scholar 

  20. A.J. Hudspeth, F. Jülicher, P. Martin, A critique of the critical cochlea: Hopf-a bifurcation-is better than none. J. Neurophysiol. 104, 1219–1229 (2010)

    Article  Google Scholar 

  21. V.M. Eguiluz, M. Ospeck, Y. Choe, A.J. Hudspeth, M.O. Magnasco, Essential nonlinearities in hearing. Phys. Rev. Lett. 84(22), 5232–5235 (2000)

    Article  Google Scholar 

  22. R. Stoop, W.-H. Steeb, J.C. Gallas, A. Kern, Auditory two-tone suppression from a subcritical Hopf cochlea. Phys. A 351, 175–183 (2005)

    Article  Google Scholar 

  23. H. Duifhuis, Hopf Bifurcations and Van der Pol Oscillator models of the mammalian cochlea, in Proceedings of American Institute of Physics Conference, vol. 1403 (2011), pp. 199–205

    Google Scholar 

  24. M.O. Magnasco, A wave traveling over a Hopf instability shapes the cochlear tuning curve. Phys. Rev. Lett. 90(5), 058101 (2003)

    Article  Google Scholar 

  25. M. Reit, W. Mathis, R. Stoop, Time-discrete nonlinear cochlea model implemented on DSP for auditory studies, in Proceedings of Nonlinear Dynamics of Electronic Systems (2012), pp. 1–4

    Google Scholar 

  26. A.C. Crawford, R. Fettipplace, The frequency selectivity of auditory nerve fibres and hair cells in the cochlea of the turtle. J. Physiol 306, 79–125 (1980)

    Article  Google Scholar 

  27. Y. Kuznetsov, Elements of Applied Bifurcation Theory (Springer, 2004)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Kyoto Sangyo University, Kyoto, Japan

    Hiroyuki Torikai, Kentaro Takeda & Taiki Naka

Authors
  1. Hiroyuki Torikai
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Kentaro Takeda
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Taiki Naka
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Hiroyuki Torikai .

Editor information

Editors and Affiliations

  1. Code 2363, Space and Naval Warfare Systems Center Code 2363, San Diego, California, USA

    Visarath In

  2. Code 2363, Space and Naval Warfare Systems Center , San Diego, California, USA

    Patrick Longhini

  3. Department of Mathematics & Statistics, San Diego State University , San Diego, California, USA

    Antonio Palacios

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer International Publishing AG

About this paper

Cite this paper

Torikai, H., Takeda, K., Naka, T. (2017). Asynchronous Bifurcation Processor: Fundamental Concepts and Application Examples. In: In, V., Longhini, P., Palacios, A. (eds) Proceedings of the 4th International Conference on Applications in Nonlinear Dynamics (ICAND 2016). ICAND 2016. Lecture Notes in Networks and Systems, vol 6. Springer, Cham. https://doi.org/10.1007/978-3-319-52621-8_20

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-52621-8_20

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-52620-1

  • Online ISBN: 978-3-319-52621-8

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation