Geodesic
EKF-based dual synchronization of chaotic colpitts circuit and Chua’s circuit
Kybernetika, Tome 44 (2008) no. 4, pp. 482-491 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

In this paper, dual synchronization of a hybrid system containing a chaotic Colpitts circuit and a Chua’s circuit, connected by an additive white Gaussian noise (AWGN) channel, is studied via numeric simulations. The extended Kalman filter (EKF) is employed as the response system to achieve the dual synchronization. Two methods are proposed and investigated. The first method treats the combination of a Colpitts circuit and a Chua’s circuit as a higher- dimensional system, while the second method considers the Colpitts circuit and Chua’s circuit separately and utilizes the cross-coupling scheme. The simulation results indicate that the proposed methods can effectively achieve and maintain dual synchronization of the hybrid system through an AWGN channel.
In this paper, dual synchronization of a hybrid system containing a chaotic Colpitts circuit and a Chua’s circuit, connected by an additive white Gaussian noise (AWGN) channel, is studied via numeric simulations. The extended Kalman filter (EKF) is employed as the response system to achieve the dual synchronization. Two methods are proposed and investigated. The first method treats the combination of a Colpitts circuit and a Chua’s circuit as a higher- dimensional system, while the second method considers the Colpitts circuit and Chua’s circuit separately and utilizes the cross-coupling scheme. The simulation results indicate that the proposed methods can effectively achieve and maintain dual synchronization of the hybrid system through an AWGN channel.
Classification : 34C15, 62M20, 65P20
Keywords: chaos; dual synchronization; Colpitts circuit; Chua’s circuit; EKF 
@article{KYB_2008_44_4_a3,
     author = {Hong, Shaohua and Shi, Zhiguo and Chen, Kangsheng},
     title = {EKF-based dual synchronization of chaotic colpitts circuit and {Chua{\textquoteright}s} circuit},
     journal = {Kybernetika},
     pages = {482--491},
     year = {2008},
     volume = {44},
     number = {4},
     mrnumber = {2459066},
     zbl = {1172.94652},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_2008_44_4_a3/}
}
TY  - JOUR
AU  - Hong, Shaohua
AU  - Shi, Zhiguo
AU  - Chen, Kangsheng
TI  - EKF-based dual synchronization of chaotic colpitts circuit and Chua’s circuit
JO  - Kybernetika
PY  - 2008
SP  - 482
EP  - 491
VL  - 44
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/KYB_2008_44_4_a3/
LA  - en
ID  - KYB_2008_44_4_a3
ER  - 
%0 Journal Article
%A Hong, Shaohua
%A Shi, Zhiguo
%A Chen, Kangsheng
%T EKF-based dual synchronization of chaotic colpitts circuit and Chua’s circuit
%J Kybernetika
%D 2008
%P 482-491
%V 44
%N 4
%U http://geodesic.mathdoc.fr/item/KYB_2008_44_4_a3/
%G en
%F KYB_2008_44_4_a3
Hong, Shaohua; Shi, Zhiguo; Chen, Kangsheng. EKF-based dual synchronization of chaotic colpitts circuit and Chua’s circuit. Kybernetika, Tome 44 (2008) no. 4, pp. 482-491. http://geodesic.mathdoc.fr/item/KYB_2008_44_4_a3/

[1] Cruz C., Nijmeijer H.: Synchronization through filtering. Internat. J. Bifurcation and Chaos 10 (2000), 763–775 | MR | Zbl

[2] Chua L. O., Kocarev L., Eckert K., al., et: Experimental chaos synchronization in Chua’s circuit. Internat. J. Bifurcation and Chaos 2 (1992), 705–708 | MR | Zbl

[3] Leung H., Zhu Z. W.: Performance evaluation of EKF-based chaotic synchronization. IEEE Trans. Circuits and Systems-I 48 (2001), 1118–1125

[4] Liu Y., Davids P.: Dual synchronization of chaos. Phys. Rev. E 61 (2000), 2176–2179

[5] Pecora L. M., Carroll T. L.: Synchronization in chaotic systems. Phys. Rev. Lett. 64 (1990), 821–824 | MR | Zbl

[6] Maggio G. M., Feo O. D., Kennedy M. P.: Nonlinear analysis of the Colpitts oscillator and applications to design. IEEE Trans. Circuits and Systems-I 46 (1999), 1118–1130 | Zbl

[7] Rubezic V., Ostojic R.: Synchronization of chaotic Colpitts oscillators with applications to binary communications. In: Proc. Internat. Conference Electronics, Circuits and Systems. Cyprus 1999, pp. 153–156

[8] Shahverdiev E. M., Sivaprakasam, S., Shore K. A.: Dual and dual-cross synchronizations in chaotic systems. Opt. Commun. 216 (2003), 179–183

[9] Shi Z. G., Ran L. X.: Microwave chaotic Colpitts oscillator: design, implementation and applications. J. Electromagnetic Waves Appl. 20 (2006), 1335–1349

[10] Shi Z. G., Ran L. X., Chen K. S.: Multiplexing chaotic signals generated by Colpitts oscillator and Chua circuit using dual synchronization. Chinese Phys. Lett. 22 (2005), 1136–1139

[11] Shi Z. G., Shan, Q., al. K. S. Chen et: Ambiguity funcations of direct chaotic radar employing chaotic Colpitts oscillator. Progr. Electromagnetics Res. 77 (2007), 1–14

[12] Sobiski D. J., Thorp J. S.: PDMA-1: Chaotic communication via the extended Kalman filter. IEEE Trans. Circuits and Systems-I 45 (1998), 194–197

[13] Tanizaki H.: Nonlinear Filters: Estimation and Applications. Springer, Berlin 1996 | MR | Zbl

[14] Tsimring L. S., Sushchik M. M.: Multiplexing chaotic signals using synchronization. Phys. Lett. A 213 (1996), 155–166

[15] Uchida A., Kawano, M., Yoshimori S.: Dual synchronization of chaos in Colpitts electronic oscillators and its applications for communications. Phys. Rev. E 68 (2003), 056207

[16] Yang T., Zhang, B., Shao H. H.: Dual synchronization of chaotic systems with application to signal transformation. High Tech. Lett. 12 (2002), 22–26