Response of a Simple Dependent Switched Capacitor Circuit to a Pulse-Train Input

IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications

Volumn 50, Issue 9, 2003, Pages 1180-1187

  Miyachi, Keita ^a   Nakano, Hidehiro ^b   Saito, Toshimichi ^b  

^a TDK CORPORATION   (Japan)

^b HOSEI UNIVERSITY   (Japan)

Author keywords

Chaos; Nonautonomous circuit; Pulse train; Return map; Switched capacitor

Indexed keywords

CAPACITORS; CHAOS THEORY; RESONATORS; SWITCHING;

PULSE-TRAIN INPUT;

NETWORKS (CIRCUITS);

EID: 0141638669     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCSI.2003.816335     Document Type: Article

References (31)

1. K. Mitsubori and T. Saito, "Mutually pulse-coupled chaotic circuits by using dependent switched capacitors," IEEE Trans. Circuits Syst. I, vol. 47, pp. 1469-1478, Oct. 2000.
2. H. Nakano and T. Saito, "Basic dynamics from an integrate-and-fire chaotic circuits with a periodic input," IEICE Trans. Fund., vol. E84-A, no. 5, pp. 1293-1300, 2001.
3. _, "Basic dynamics from a pulse-coupled network of autonomous integrate-and-fire chaotic circuits," IEEE Trans. Neural Netw., vol. 13, pp. 92-100, Jan. 2002.
4. _, "Synchronization in a pulse-coupled network of chaotic spiking oscillators," in Proc. Midwest Symp. Circuits and Systems MWSCAS'02, vol. 1, 2002, pp. 192-195.
5. 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.
6. L. Glass and M. C. Mackey, "A simple model for phase locking of biological oscillators," J. Math. Biol., vol. 7, pp. 339-352, 1979.
7. R. E. Mirollo and S. H. Strogatz, "Synchronization of pulse-coupled biological oscillators," SIAM J. Appl. Math., vol. 50, pp. 1645-1662, 1990.
8. E. M. Izhikevich, "Weakly pulse-coupled oscillators, FM interactions, synchronization, and oscillatory associative memory," IEEE Trans. Neural Netw., vol. 10, pp. 508-526, Mar. 1999.
9. J. J. Hopfield and A. V. M. Herz, "Rapid local synchronization of action potentials: Toward computation with coupled integrate-and-fire neurons," Proc. Nat. Acad. Sci., vol. 92, pp. 6655-6662, 1995.
10. S. R. Campbell, D. Wang, and C. Jayaprakash, "Synchrony and desynchrony in integrate-and-fire oscillators," Neural Comput., vol. 11, pp. 1595-1619, 1999.
11. M. Watanabe, K. Nakanishi, and K. Aihara, "Solving the biding problem of the brain with bi-directional functional connectivity," Neural Netw., vol. 14, pp. 395-406, 2001.
12. G. Lee and N. H. Farhat, "The bifurcating neuron network 1," Neural Netw., vol. 14, pp. 115-131, 2001.
13. _, "The bifurcating neuron network 2: An analog associative memory," Neural Netw., vol. 15, pp. 69-84, 2002.
14. J. Shin and C. Koch, "Dynamical range and sensitivity adaptation in a silicon spiking neuron," IEEE Trans. Neural Netw., vol. 10, pp. 1232-1238, May 1999.
15. S. Fusi, M. Annunzaito, D. Badoni, A. Salamon, and D. J. Amit, "Spike-driven synaptic plasticity: Theory, simulation, VLSI implementation," Neural Comput., vol. 12, pp. 2227-2258, 2000.
16. T. Asai and Y. Amemiya, "Frequency- and temporal-domain neural competition in analog integrate-and-fire neurochips," in Proc. Int. Joint Conf. Neural Networks IJCNN'02, 2002, pp. 1337-1441.
17. A. S. Pikovsky and M. I. Rabinovich, "Stochastic oscillations in dissipative systems," Phys. 2D, no. 1, pp. 8-24, 1981.
18. S. V. Kiyashko, A. S. Pikovsky, and M. I. Rabinovich, "Self-exchiting oscillator for the radio-frequency range with stochastic behavior," Radio Eng. Electron. Phys., vol. 25, no. 2, pp. 74-79, 1980.
19. P. A. Bernhardt, "The autonomous chaotic relaxation oscillator: An electrical analogue to the dripping faucet," Phys. D, vol. 52, pp. 489-527, 1991.
20. N. F. Rulkov and A. R. Volkovskii, "Generation of broad-band chaos using blocking oscillator," IEEE Trans. Circuits Syst. I, vol. 48, pp. 673-679, June 2001.
21. T. Saito, "On a hysteresis chaos generator," in Proc. Int. Symp. Circuits and Syst. ISCAS'85, vol. 2, 1985, pp. 847-849.
22. T. Allen, "Complicated, but rational, phase-locking responses of a simple time-base oscillator," IEEE Trans. Circuits Syst., vol. CAS-30, pp. 627-632, Sept. 1983.
23. Y. S. Tang, A. I. Mess, and L. O. Chua, "Synchronization and chaos," IEEE Trans. Circuits Syst., vol. CAS-30, pp. 620-626, Sept. 1983.
24. A. S. Elwakil, "Nonautonomous pulse-driven chaotic oscillator based on Chua's circuit," Microelectron. J., vol. 33, pp. 479-486, 2002.
25. L. M. Pecora, T. L. Carroll, G. A. Johnson, and D. J. Mar, "Fundamentals of synchronization in chaotic systems, concepts, and applications," Chaos, vol. 7, no. 4, pp. 520-543, 1997.
26. T. Stojanovsky, L. Kocarev, and U. Parlitz, "Driving and synchronizing by chaotic impulses," Phys. Rev. E, vol. 54, pp. 2128-2131, 1996.
27. H. Torikai, T. Saito, and W. Schwarz, "Synchronization via multiplex pulse-train," IEEE Trans. Circuits Syst. I, vol. 46, pp. 1072-1085, Sept. 1999.
28. 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, pp. 128-130, Apr. 2000.
29. Y. Kanno and T. Ikeguchi, "Prediction on nonlinear time series of amplitude and event information," in Proc. NOLTA'01, vol. 1, 2001, pp. 275-278.
30. E. M. Izhikevich, "Resonate-and-fire neurons," Neural Netw., vol. 14, pp. 883-894, 2001.
31. K. Miyachi, H. Nakano, and T. Saito, "Response characteristics of a chaotic spiking oscillator," in Proc. Int. Joint Conf. Neural Networks IJCNN'02, 2002, pp. 2726-2731.