Measurement of Chua Chaos and Its Applications

 

Ricardo Núñez Pérez

 

Electronics and Telecommunications Department Center for Scientific Research and Graduate Studies of Ensenada-CICESE Km.107, Tijuana.-Ensenada Highway, Ensenada, B.C., México, 22860.Te l/Fax (646)175-0555/554 rnunez@cicese.mx

 

ABSTRACT

The present paper shows a single and original measurement circuit, using instantaneous and average readouts of the chaotic dynamic of a Chua's circuit Vc₁(X₁) signal with binary decryption, synchrony qualification and chaotic sequence applications. The circuit was simulated (Workbench), developed and tested with our Dadisp Test Automatic System. In operation, the circuit was efficient and successful and could be redesigned to quantify the chaotic dynamic of multiple scrolls and time-delay Chua circuits.

Keywords: Chaotic dynamics, Chua's circuit, chaotic switching, binary decryption, chaotic circuits synchronization.

 

RESUMEN

Se presenta un circuito original para medir la dinámica caótica del circuito de Chua (señal Vc₁(X₁)) en forma instantánea y promedio. Se aplica en el desencriptamiento binario, la calificación de la sincronización de circuitos y en la generación de secuencias. El circuito, se simula (Workbench) y se desarrolla y prueba con nuestro Sistema Automático de Prueba Dadisp. Los resultados son aceptables y se está rediseñando para considerar dinámicas caóticas de circuitos con enrollamientos múltiples y con retardo de tiempo.

Palabras clave: Dinámica caótica, circuito de Chua, conmutación caótica, desencriptamiento y sincronización caótica.

 

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6. ACKNOWLEDGMENTS

We wish to express our thanks to CONACYT for its financial support under Research Grant No. 7453 leading by Dr. J. Alvarez G.

 

7.  REFERENCES

[1] R. Núñez P., Kosímetro de Chua, Congreso Nacional de la AMCA2004, México, D.F., 2004.         [ Links ]

[2] R. Núñez P., Calificación experimental de la sincronía de dos circuitos caóticos, XI Congreso Latinoamericano de Control Automático, CLCA'04, La Habana, Cuba , 2004.         [ Links ]

[3] R. Núñez P., Comunicador experimental privado basado en encriptamiento caótico, Congreso Nacional de la AMCA2003, Eda., B.C., México, 2003.         [ Links ]

[4] M.P. Kennedy, Experimental chaos via Chua's circuit, in Proc.of the 1st., Experimental Chaos Conference, ed. Vohra S., Spano M., Shlesinger M., Pecora L. y Ditto W (W. S.), Germany, 1992.         [ Links ]

[5] F.C. Moon, Chaotic and fractal dynamics, an introduction for ap., Wiley and Sons, Inc., 1992.         [ Links ]

[6] K.M. Cuomo, A.V. Oppenheim and S.H. Strogatz, Synchronization of Lorenz-Based Chaotic Circuits with Applications to Communications, IEEE Trans. on Circuits and Syst. II: Analog and Digital Signal Processing, Vol.40(10), October, 1993, 623-633.         [ Links ]

[7] M. Hasler and Th. Schamming, Chaos communication over noisy channel, IJBC, Vol.10(4), 2000.         [ Links ]

[8] C. Cruz, D. Lopez, R. Núñez P., Experimental realization of binary signals transmitted using chaos, ICC, Circs. and Syts. and W. Sino Expo., Chendú, China, 2002.         [ Links ]

[9] U. Parlitz, L.O. Chua, Lj. Kocarev, K.S. Halle and A. Shang, Transmission of digital signals by chaotic synchronization, Int. J. Bifurc. Chaos, Vol. 2(4), 1992, 973-977.         [ Links ]

[10] H. Dedieu, M. Kennedy and M. Hasler, Chaotic shift keying: Modulation and demodulation of a chaotic carrier using self-synchronizing Chua's circuits, IEEE Trans. C & S II, Vol. 40(10), 1993, 634-642.         [ Links ]

[11] L.O. Chua, Lj. Kcarev, K. Eckert and M. Itoh, Experimental chaos synchronization in Chua's circuits, Int. J. Bifurc. Chaos, Vol. 2(3), 1992, 705-708.         [ Links ]

[12] T.L. Carroll and L.M. Pecora, Synchronizing chaotic circuits, IEEE Trans. C & S, Vol. 38, 1991.         [ Links ]

[13] M. Meranza, y C. Cruz, Estudio experimental de la sincronía de dos circuitos hipercaóticos de Chua, Proc. of the 2^nd. Int. Conferen. Control Autom., AUT'2002, Santiago de Cuba, Cuba, 2002.         [ Links ]

[14] R. Núñez P., Los SAP's-Labview (Generador/ Analizador Dinámico) y Dadisp, Informe Técnico: CTETT9913, DET-CICESE, 1998.         [ Links ]

[15] A.V. Oppenheim, G.W. Wornell, S.H. Isabelle and K.M. Cuomo, Signal processing in the context of chaotic signals, in Proc. IEEE ICASSP, Vol. IV, 1992.         [ Links ]

[16] H. Ott, Noise Reduction Techniques in Electronic Systems, Sec. Ed., Wiley and Sons, 1998.         [ Links ]