Proceedings of the 2012 International Symposium on Nonlinear Theory and its Applications
2012
Session Number:D3L-B
Session:
Number:899
A Simple Chaotic Circuit Based on Coupled Spiking Neurons
Shinya Tanaka, Toshimichi Saito, Kunihiko Mitsubori,
pp.899-902
Publication Date:
Online ISSN:2188-5079
[1] J. P. Keener, F. C. Hoppensteadt and J.∼Rinzel, “Integrate-and-fire models of nerve membrane response to oscillatory input”, SIAM J. Appl. Math., 41, pp. 503-517, 1981.
[2] R. Perez and L. Glass, “Bistability, period doubling bifurcations and chaos in a periodically forced oscillator”, Phys. Lett., 90A, 9, pp. 441-443, 1982.
[3] R. E. Mirollo and S. H. Strogatz, “Synchronization of pulse-coupled biological oscillators”, SIAM J. Appl. Math., 50, 6, pp.1645-1662, 1990.
[4] E. M. Izhikevich, “Resonate-and-fire neurons”, Neural Networks, 14, pp. 883-894, 2001.
[5] E. M. Izhikevich, “Simple Model of Spiking Neurons”, IEEE Trans. Neural Networks, 14, pp. 1569-1572, 2003.
[6] Y. Yamashita and H. Torikai, Bursting Analysis and Synapse Mechanism of A Piece-wise Constant Spiking Neuron Model, Proc. IJCNN, pp. 193-200, 2012.
[7] T. Toyoizumi, K. Aihara and S. Amari, “Fisher information for spikebased population coding”, Phys. Rev. Lett., 97, 098102, 2006.
[8] S. R. Campbell, D. Wang and C. Jayaprakash, “Synchrony and desynchrony in integrate-and-fire oscillators”, Neural computation, vol. 11, pp. 1595-1619, 1999.
[9] G. M. Maggio, N. Rulkov and L. Reggiani, “Pseudo-Chaotic Time Hopping For UWB Impulse Radio”, IEEE Tran. Circuits Syst., I, 48, 12, pp. 1424-1435, 2001.
[10] S. Hashimoto and H. Torikai, “A Novel Hybrid Spiking Neuron: Bifurcations, Responses, and On-Chip Learning”, IEEE Trans. Circuits Syst. I, 57, 8, pp. 2168-2181, 2010.
[11] K. Mitsubori and T. Saito, “Dependent switched capacitor chaos generator and its synchronization”, IEEE Trans. Circuits Syst. I, 44, 12, pp. 1122-1128, 1997.
[12] K. Mitsubori and T. Saito, “Mutually Pulse-coupled Chaotic Circuits by using Dependent Switched Capacitors, IEEE Trans. Circuits Syst. I, 47, 10, pp. 1469-1478, 2000.
[13] H. Nakano and T. Saito, “Basic dynamics from a pulse-coupled network of autonomous integrate-and-fire chaotic circuits”, IEEE Trans. Neural Networks, 13, 1, pp. 92-100, 2002.
[14] Y. Takahashi, H. Nakano and T. Saito, “A simple hyperchaos generator based on impulsive switching”, IEEE Trans. Circuits Syst. II, 51, 9, pp. 468-472, 2004.
[15] H. Nakano and T. Saito, “Grouping synchronization in a pulse-coupled network of chaotic spiking oscillators”, IEEE Trans. Neural Networks, 15, 5, pp. 1018-1026, 2004.
[16] Y. Matsuoka and T. Saito, “A Simple Chaotic Spiking Oscillator Having Piecewise Constant Characteristics”, IEICE Trans. Fundamentals, 89, 9, pp. 2437-2440, 2006.
[17] Y. Matsuoka, T. Hasegawa and T. Saito, “Chaotic Spike-train with Line-like Spectrum”, IEICE Trans. Fundamentals, E92-A, 4, pp. 1142-1147, 2009.
[18] T. Tsubone and T. Saito, “Manifold piecewise constant systems and chaos”, IEICE Trans. Fundamentals, E82-A, 8, pp.1619-1626, 1999.