Bifurcations and synchronization using an integrated programmable chaotic circuit

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

Volumn 7, Issue 8, 1997, Pages 1737-1773

  Delgado Restituto, M ^a   Linan M ^a   Ceballos, J ^a   Rodriguez Vazquez A ^a  

^a Centro Informatico Cientifico de Andalucia   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031205933     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127497001357     Document Type: Article

References (33)

1. Aihara, K., Takabe, T. & Toyoda, M. [1990] "Chaotic neural networks," Phys. Lett. A144, 333-340.
2. Bernstein, G. M. & Lieberman, M. A. [1990] "Secure random number generation using chaotic circuits," IEEE Trans. Circuits Syst. 37(9), 1157-1164.
3. Carroll, T. L. & Pecora, L. M. [1991] "Synchronizing chaotic signals," IEEE Trans. Circuits Syst. 38(4), 453-456.
4. Chua, L. O., Komuro, M. & Matsumoto, T. [1986] "The double scroll family - Part I: Rigorous proof of chaos, and Part II: Rigorous analysis of bifurcation phenomena," IEEE Trans. Circuits Syst. 33(11), 1072-1118.
5. Chua, L. O. (Guest Ed.) [1987] "Special issue on chaotic systems," Proc. IEEE 75(8).
6. Chua, L. O. & Lin, G. N. [1990] "Canonical realization of Chua's circuit family," IEEE Trans. Circuits Syst. 37(7), 885-902.
7. Chua, L. O. [1992] "The genesis of Chua's circuit," Int. J. Electron. Commun. 46(4), 250-257.
8. Chua, L. O. [1993] "Global unfolding of Chua's circuit," IEICE Trans. Fundamentals E76-A(5), 704-734.
9. Chua, L. O. & Hasler, M. (Guest Eds.) [1993] "Special issue on chaos in nonlinear electronic circuits," Part A: Tutorials and reviews," IEEE Trans. Circuits Syst. - I 40(10); Part B: Bifurcation and chaos, IEEE Trans. Circuits Syst. - I 40(11); Part C: Applications, IEEE Trans. Circuits Syst. - II 40(10).
10. Chua, L. O. & Hasler, M. (Guest Eds.) [1993] "Special issue on chaos in nonlinear electronic circuits," Part A: Tutorials and reviews," IEEE Trans. Circuits Syst. - I 40(10); Part B: Bifurcation and chaos, IEEE Trans. Circuits Syst. - I 40(11); Part C: Applications, IEEE Trans. Circuits Syst. - II 40(10).
11. Chua, L. O. & Hasler, M. (Guest Eds.) [1993] "Special issue on chaos in nonlinear electronic circuits," Part A: Tutorials and reviews," IEEE Trans. Circuits Syst. - I 40(10); Part B: Bifurcation and chaos, IEEE Trans. Circuits Syst. - I 40(11); Part C: Applications, IEEE Trans. Circuits Syst. - II 40(10).
12. Chua, L. O., Wu, C. W., Huang, A. & Zhong, G.-Q. [1993] "A universal circuit for studying and generating chaos - Part I: Routes to chaos, and Part II: Strange attractors," IEEE Trans. Circuits Syst. - I 40(10), 732-761.
13. Cruz, J. M. & Chua, L. O. [1993] "An IC chip of Chua's circuit," IEEE Trans. Circuits Syst. - II 40(10), 614-625.
14. γ generation," IEEE Trans. Circuits Syst. 39(4), 325-328.
15. Delgado-Restituto, M., Medeiro, F. & Rodríguez-Vázquez, A., [1993] "Nonlinear switched-current CMOS IC for random signal generation," Electron. Lett. 29(25), 2190-2191.
16. Delgado-Restituto, M. & Rodríguez-Vázquez, A., [1994] "Switched-current chaotic neurons," Electron. Lett. 30(5), 429-430.
17. Freeman, W. J. [1992] "Tutorial on neurobiology: From single neurons to brain chaos," Int. J. Bifurcation and Chaos 2(3), 451-482.
18. Hasler, M. [1994] "Synchronization principles and applications," Proc. 1994 IEEE Int. Symp. Circuits Syst. (Tutorials), Chapter 6.2, 314-327.
19. Hein, S. [1993] "Exploiting chaos to suppress spurious tones in general double-loop SD modulators," IEEE Trans. Circuits Syst. - II 40(10), 651-659.
20. Horio, H. & Suyama, K. [1995] "Experimental verification of signal transmission using synchronized SC chaotic neural networks," IEEE Trans. Circuits Syst. - I 42(7), 393-395.
21. Kocarev, L. J., Halle, K. S., Eckert, K., Parlitz, U. & Chua, L. O. [1992] "Experimental demonstration of secure communications via chaotic synchronization," Int. J. Bifurcation and Chaos 2(4), 709-713.
22. Madan, R. N. (ed.) [1993] Chua's Circuit: A Paradigm for Chaos (World Scientific, Singapore).
23. Matsumoto, G., Aihara, K., Hanyu, Y., Takahashi, N., Yoshizawa, S. & Nagumo, J. [1987] "Chaos and phase locking in normal squid axons," Phys. Lett. A123, 162-166.
24. McGonigal, G. C. & Elmasry, M. I. [1987] "Generation of noise by electronic iteration of the logistic map," IEEE Trans. Circuits Syst. 34(8), 981-933.
25. Murch, A. R. & Bates, R. H. T. [1990] "Colored noise generation through deterministic chaos," IEEE Trans. Circuits Syst. 37(5), 608-613.
26. Nozawa, H. [1992] "A neural network model as a globally coupled map and applications based on chaos," Chaos 2(3), 377-386.
27. Oppenheim, A. V., Wornell, G. W., Isabelle, S. H. & Cuomo, K. M. [1992] "Signal processing in the context of chaotic signals," Proc. IEEE Int. Conf. Acoustics, Speech and Signal Processing IV, 117-120.
28. Rodríguez-Vázquez, A., Huertas, J. L., Rueda, A., Pérez-Verdú, B. & Chua, L. O., [1987] "Chaos from switched-capacitor circuits: Discrete maps," Proc. IEEE 75(8), 1090-1106.
29. Rodríguez-Vázquez, A., Espejo, S., Huertas, J. L. & Martin, J. D. [1990] "Analog building blocks for noise and truly random number generation in CMOS VLSI," Proc. European Conf. Solid-State Circuits, 225-228.
30. Rodríguez-Vázquez, A., Delgado-Restituto, M., Espejo, S. & Huertas, J. L. [1991] "Switched capacitor broadband noise generator for CMOS VLSI," Electron. Lett. 27(21), 1913-1915.
31. Rodríguez-Vázquez, A. & Delgado-Restituto, M. [1993] "CMOS design of chaotic oscillators using state variables: A monolithic Chua's circuit," IEEE Trans. Circuits Syst. - II 40(10), 596-613.
32. Rodríguez-Vázquez, A. & Delgado-Restituto, M. [1994] "Generation of chaotic signals using current-mode techniques," J. Intelligent Fuzzy Syst. 2(1), 15-37.
33. Schreier, R. [1991] "Noise-shaped coding," Ph. D. Thesis, University of Toronto.