Chaotic spike-train with line-like spectrum

IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences

Volumn E92-A, Issue 4, 2009, Pages 1142-1147

  Matsuoka, Yusuke ^a   Hasegawa, Tomonari ^a   Saito, Toshimichi ^a  

^a HOSEI UNIVERSITY   (Japan)

Author keywords

Bifurcation; Chaos; Spiking neurons; Switched dynamical systems

Indexed keywords

BIFURCATION (MATHEMATICS); CHAOS THEORY; DYNAMICAL SYSTEMS;

CHAOTIC SPIKE TRAIN; FIRE DYNAMICS; INTER SPIKE INTERVALS; PARAMETER SPACES; PIECE-WISE CONSTANTS; PIECEWISE LINEAR TRAJECTORY; SPIKING NEURON; SWITCHED DYNAMICAL SYSTEMS;

PIECEWISE LINEAR TECHNIQUES;

EID: 76249119620     PISSN: 09168508     EISSN: 17451337     Source Type: Journal    
DOI: 10.1587/transfun.E92.A.1142     Document Type: Conference Paper

References (16)

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., vol.41, pp.503-517, 1981.
2. E.M. Izhikevich, "Resonate-and-fire neurons," Neural Netw., vol.14, pp.883-894, 2001.
3. E.M. Izhikevich, "Simple model of spiking neurons," IEEE Trans. Neural Netw., vol.14, no.6, pp.1569-1572, 2003.
4. S.R. Campbell, D. Wang, and C. Jayaprakash, "Synchrony and desynchrony in integrate-and-fire oscillators," Neural Comput., vol.11, pp.1595-1619, 1999.
5. H. Nakano and T. Saito, "Grouping synchronization in a pulsecoupled network of chaotic spiking oscillators," IEEE Trans. Neural Netw., vol.15, no.5, pp.1018-1026, 2004.
6. H. Hamanaka, H. Torikai, and T. Saito, "Quantized spiking neuron with A/D conversion functions," IEEE Trans. Circuits Syst. II, vol.53, no.10, pp.1049-1053, 2006.
7. M. Sushchik, N. Rulkov, L. Larson, L. Tsimring, H, Abarbanel, K. Yao, and A. Volkovskii, "Chaotic pulse position modulation: A robust method of communicating with chaos," IEEE Commun. Lett., vol.4, no.4, pp.128-130, 2000.
8. G.M. Maggio, N. Rulkov, and L. Reggiani, "Pseudo-chaotic time hopping for UWB impulse radio," IEEE Trans. Circuits Syst. I, vol.48, no.12, pp.1424-1435, 2001.
9. S. Ozoguz and A.S. Elwakil, "On the realization of circuitindependent nonautonomous pulse-excited chaotic oscillator circuits," IEEE Trans. Circuits Syst. II, vol.51, no.10, pp.552-556, 2004.
10. H. Nakano and T. Saito, "Basic dynamics from an integrate-and-fire chaotic circuits with a periodic input," IEICE Trans. Fundamentals, vol.E84-A, no.5, pp.1293-1300, May 2001.
11. T. Tsubone, T. Saito, and W. Schwarz, "Probability distribution of the switching intervals in chaotic pulse stream-A comparative study," Proc. IEEE/ISCAS, pp.471-474, 1999.
12. T. Tsubone and T. Saito, "Manifold piecewise constant systems and chaos," IEICE Trans. Fundamentals, vol.E82-A, no.8, pp.1619- 1626, Aug. 1999.
13. A. Lasota and M.C. Mackey, Chaos, Fractals, and Noise-Second Edition, Springer-Verlag, 1994.
14. S. Ito, S. Tanaka, and H. Nakada, "Unimodal linear transformations and chaos," Tokyo J. Math., vol.2, no.2, pp.241-259, 1979.
15. Y. Matsuoka and T. Saito, "A simple chaotic spiking oscillator having piecewise constant characteristics," IEICE Trans. Fundamentals, vol.E89-A, no.9, pp.2437-2440, Sept. 2006.
16. T. Hasegawa, Y. Matsuoka, and T. Saito, "Analysis of inter-spike interval characteristics of piecewise constant chaotic spiking oscillators," Proc. IEEE-INNS/IJCNN, pp.3435-3440, 2008.