Publication

    Paper

  1. M.Kawamura, R.Tokunaga and M.Okada,
    "Bifurcation analysis in an associative memory model",
    Physical Review E 70, no.4-1, 046210, pp.1-9, (2004)
  2. I. Tokuda, R.Tokunaga and K.Aihara,
    "Back Propagation Learning of Infinite-Dimensonal Dynamical Systems,''
    Neural Networks 16, pp.1179-1193 (2003)
  3. M.Kawamura, R.Tokunaga and M.Okada,
    "Low-dimensional chaos induced by frustration in a non-monotonic system",
    Europhysics Letters, 62 (5), pp.657-663 (2003)
  4. I. Tokuda, R. Tokunaga and T. Matsumoto
    "Detecting Switching Dynamics in Chaotic Time-Waveform using a Parameterized Family of Nonlinear Predictor,''
    Physica D , Physica D, vol. 135, pp.63-78 (2000)
  5. R. Tokunaga and T. Matsumoto,
    "A Nonlinear Prediction Technique for Parameterized Family of Chaotic Dynamics,''
    International Journal of Intelligent Systems, vol.12, no.4, pp.291-309 (1997).
  6. I. Tokuda, R. Tokunaga and K. Aihara,
    "A Simple Geometrical Structure underlying Speech Signals of The Japanese Vowel /a/,''
    International Journal of Bifurcation and Chaos, World Scientific, vol.6, no.1, January, pp.149-160 (1996).
  7. I. Tokuda, S. Kajiwara, R. Tokunaga and T. Matsumoto,
    "Recognizing Chaotic Time-Waveforms in Terms of A Parameterized Family of Nonlinear Predicotors,''
    Physica D, vol. 95, pp.380-395 (1996).
  8. R. Tokunaga, S. Kajiwara and T. Matsumoto,
    "Reconstracting Bifurcation Diagrams only from Time-Waveforms,''
    Physica 79D, pp.348-360 (1994).
  9. R. Tokunaga, T. Matsumoto and Y. Abe,
    "Observing A Codimension-Two Heteroclinic Bifurcation,''
    AIP, CHAOS, vol.3, no.1, pp.63-72 (1993).
  10. M. Komuro, R. Tokunaga, T. Matsumoto, L. O. Chua and A. Hotta,
    "Global Bifurcation Analysis of The Double Scroll Circuit,''
    International Journal of Bifurcation and Chaos, World Scientific,
    vol.1, no.1, pp.139-182, March (1991).
  11. R. Fujimoto, M. Komuro, R. Tokunaga and T. Matsumoto,
    "A Hierarchical Structure in Homoclinic Bifurcations,''
    The Transactions of the IEICE, vol.E73, no.6, pp.809-816, June (1990).
  12. R. Tokunaga, T. Matsumoto, L. O. Chua and S. Miyama,
    "The Piecewise-Linear Lorenz Circuit is Chaotic in the sense of Shilnikov,''
    IEEE, Transactions on Circuits and Systems, vol.37, no.6, pp.766-786, June (1990).
  13. R. Tokunaga, M. Komuro, T. Matumoto and L. O. Chua,
    "`Lorenz attractor' from an electrical circuit with uncoupled piecewise-linear resistors,''
    International Journal of Circuit Theory and Applications,
    vol.17, no.1, pp.71-85, January (1989).
  14. R. Tokunaga, L. O. Chua and T. Matumoto,
    "Bifurcation Analysis of a Cusp-Constrained Piecewise-Linear Circuit,''
    International Journal of Circuit Theory and Applications,
    vol.17, no.3, pp.283-346, July (1989).
  15. T. Matumoto, L. O. Chua and R. Tokunaga,
    "Chaos via Torus Breakdown,''
    IEEE, Transactions on Circuits and Systems,
    vol.CAS-34, no.3, pp.240-253, March (1987).

    Proceedings

  1. R. Tokunaga
    "Image data processing based on contractive mapping and its inverse dynamics,''
    Proceedings of the fourth asian fuzzy systems symposium, vol. 2/2, pp. 942-945, (2000).
  2. I. Tokudaa, R. Tokunaga and K. Aihara
    "Adaptive Learning@for Chaotic Optimization,''
    Proceedings of the fourth asian fuzzy systems symposium, vol. 2/2, pp. 926-932, (2000).
  3. T. Takahashi and R. Tokunaga,
    "Nonlinear Dimensionality Reduction by Multi Layer Perceptron Using Superposed Energy''
    Proceedings of 1999 International Symposium on Nonlinear Theory and its Applications(NOLTA99), vol. 2, pp. 863--866, (1999).
  4. T. Takahashi and R. Tokunaga,
    "Energy Functions for Efficient Nonlinear Dimensionality Reduction by Multi Layer Perceptrons''
    ICONIP'98 vol.1, pp.494-497, (1998).
  5. T. Takahashi and R. Tokunaga,
    "Removing the Redundancy of Perceptrons in Terms of a Simple Energy Function,''
    Proceedings of the 1997 Internatinal Conference on Neural Information Processing and Intelligent Information Systems, vol.1/2, pp.271-274 (1997).
  6. I. Tokuda, K. Aihara, R. Tokunaga, T. Nagashima,
    "Learning algorithm for Chaotic Neural Networks which Solve Optimization Problems,''
    Proceedings of The Symposium on Nonlinear Theory and its Applications (Hawaii) (1997) vol. 1/2 pp.617-620 (1997)
  7. S. Kajiwara, I. Tokuda, R. Tokunaga and T. Matsumoto,
    "Reconstructing Bifurcation Diagrams Only From Time-Waveforms,''
    Proceedings of The 3rd International Conference on Fuzzy Logic and Neural Networks, Iizuka, pp.515-517 August 1-7 (1994). (invited paper)
  8. R. Tokunaga,
    "Controlling and Predicting Chaotic Dynamics,''
    Proceedings of IEEE Symposium on Emerging Technologies and Factory Automation, Tokyo, pp.220-224, November 6-10 (1994).
  9. I. Tokuda, R. Tokunaga and K. Aihara,
    "Laryngeal vibrations: Towards understanding causes of irregularities in speech signals of vowel sounds,''
    the Seventh TOYOTA Conference/Towards the Harnessing of Chaos, Mikkabi, October 31-November 3 (1994).
    (Proceedings : Towards the Harnessing of Chaos, Ed.by M.Yamaguchi, Elsevier, pp.413-418 (1994).)
  10. R. Tokunaga, I. Tokuda, S. Kajiwara and T. Matsumoto,
    "Reconstracting Bifurcation Diagrams only from Time-Waveforms,''
    The international conference on Dynamical Syatems and Chaos, Tokyo, May 23-27 (1994).
    (Proceedings of the international conference on Dynamical Syatems and Chaos,
    World Scientific, vol.2/2, pp.345-354 (1994). (invited paper))
  11. T. Matsumoto, R. Tokunaga and M. Komuro,
    "Global Bifurcations of the Double Scroll Circuit,''
    Sumposium on Nonlinearity and Chaos in Engineering Dynamics, London, July 19-23 (1993).
    (Proceedings: Nonlinearity and Chaos in Engineering Dynamics, Edited by J. M. T. Thompson and S. R. Bishop, John Wiley & Sons Ltd, pp.421-423 (1994). (invited paper))
  12. I. Tokuda, Y. Hirai and R. Tokunaga,
    "Back Propagation Learning of an Infinite-Dimensonal Dynamical System,''
    Proceedings of International Joint Conference on Neural Networks, Nagoya,
    vol.3/3, pp.2271-2275, October 25-29 (1993).
  13. R. Tokunaga, T. Matsumoto and Y. Abe,
    "Observing Codim-2 Heteroclinic Bifurcations,''
    Proceedings of Symposium on Nonlinear Theory and its Applications, Hakone, pp.107-110, July 14-16 (1992).
  14. R. Tokunaga,
    "Fractal Image Coding Techniques Based on IFS,''
    Proceedings of The 2nd International Conference on Fuzzy Logic and Neural Networks, Iizuka,vol.2/2, pp.951-954, July 17-22 (1992). (invited paper)
  15. M. Kawashima, R. Tokunaga and Y. Hirai,
    "Contour Map Reconstruction via Multi-mudule Paralell Processing Computational Scheme,''
    Proceedings of MVA'92, IAPR Workshop on Machine Vision Applications, Tokyo, pp.87-91, December 7-9 (1992).
  16. W. Kim, T. Furukawa, Y. Hirai and R. Tokunaga,
    "Extraction and Reconstraction of Road Segments by Spatial Filters,"
    Proceedings of MVA'92, IAPR Workshop on Machine Vision Applications, Tokyo, pp.515-518, December 7-9 (1992).
  17. R. Tokunaga, K. Miya, A. Hotta, R. Fujimoto, M. Komuro, T. Matumoto and L. O. Chua,
    "Homoclinic Linkages : A New Bifurcation Mechanism,''
    Proceedings of IEEE International Symposium on Circuits and Systems, Portland, vol.2, pp.826-829, May 8-11 (1989). (invited paper)
  18. R. Tokunaga, M. Komuro, T. Matumoto and L. O. Chua,
    "`Lorenz attractor' from an Electrical Circuit with Uncoupled Piecewise-Linear Resistors,''
    Proceedings of IEEE International Symposium on Circuits and Systems, Philadelphia,vol.2/3, pp.672-675, May 4-7 (1987). (invited paper)

    Books

  1. R.Tokunaga,``Bifurcations,'' Springer-Verlag (1993)
  2. R.Tokunaga,``Chaos in Circuits and Systems,'' World Scientific (2002)