A simple integrate-and-fire system and various super-stable periodic orbits

Author:

Takahashi Risa1,Saito Toshimichi1

Affiliation:

1. EE Department, Hosei University

Publisher

Institute of Electronics, Information and Communications Engineers (IEICE)

Subject

Rehabilitation,Physical Therapy, Sports Therapy and Rehabilitation,General Medicine

Reference12 articles.

1. [1] R. Perez and L. Glass, “Bistability, period doubling bifurcations and chaos in a periodically forced oscillator,” Phys. Lett., vol. 90A, no. 9, pp. 441-443, 1982.

2. [2] G. Lee and N.H.G., Farhat, “The bifurcating neuron network 1,” Neural networks, vol. 14, pp. 115-131, 2001.

3. [3] E.D.M. Hernandez, G. Lee, and N.H. Farhat, “Analog realization of arbitrary one-dimensional maps,” IEEE Trans. Circuits Syst. I, vol. 50, no. 12, pp. 1538-1547, 2003.

4. [4] H. Torikai, T. Saito, and W. Schwarz, “Synchronization via multiplex pulse-train,” IEEE Trans. Circuits Syst. I, vol. 46, no. 9, pp. 1072-1085, 1999.

5. [5] Y. Kon'no, T. Saito, and H. Torikai, “Rich dynamics of pulse-coupled spiking neurons with a triangular base signal,” Neural Networks, vol. 18, pp. 523-531, 2005.

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