Title:
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EKF-based dual synchronization of chaotic colpitts circuit and Chua’s circuit (English) |
Author:
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Hong, Shaohua |
Author:
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Shi, Zhiguo |
Author:
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Chen, Kangsheng |
Language:
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English |
Journal:
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Kybernetika |
ISSN:
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0023-5954 |
Volume:
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44 |
Issue:
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4 |
Year:
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2008 |
Pages:
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482-491 |
Summary lang:
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English |
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Category:
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math |
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Summary:
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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. (English) |
Keyword:
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chaos |
Keyword:
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dual synchronization |
Keyword:
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Colpitts circuit |
Keyword:
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Chua’s circuit |
Keyword:
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EKF |
MSC:
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34C15 |
MSC:
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62M20 |
MSC:
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65P20 |
idZBL:
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Zbl 1172.94652 |
idMR:
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MR2459066 |
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Date available:
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2009-09-24T20:36:52Z |
Last updated:
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2012-06-06 |
Stable URL:
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http://hdl.handle.net/10338.dmlcz/135867 |
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Reference:
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[1] Cruz C., Nijmeijer H.: Synchronization through filtering.Internat. J. Bifurcation and Chaos 10 (2000), 763–775 Zbl 1090.37570, MR 1764539 |
Reference:
|
[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 Zbl 0875.94133, MR 2048021 |
Reference:
|
[3] Leung H., Zhu Z. W.: Performance evaluation of EKF-based chaotic synchronization.IEEE Trans. Circuits and Systems-I 48 (2001), 1118–1125 |
Reference:
|
[4] Liu Y., Davids P.: Dual synchronization of chaos.Phys. Rev. E 61 (2000), 2176–2179 |
Reference:
|
[5] Pecora L. M., Carroll T. L.: Synchronization in chaotic systems.Phys. Rev. Lett. 64 (1990), 821–824 Zbl 0938.37019, MR 1038263 |
Reference:
|
[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 0963.94053 |
Reference:
|
[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 |
Reference:
|
[8] Shahverdiev E. M., Sivaprakasam, S., Shore K. A.: Dual and dual-cross synchronizations in chaotic systems.Opt. Commun. 216 (2003), 179–183 |
Reference:
|
[9] Shi Z. G., Ran L. X.: Microwave chaotic Colpitts oscillator: design, implementation and applications.J. Electromagnetic Waves Appl. 20 (2006), 1335–1349 |
Reference:
|
[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 |
Reference:
|
[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 |
Reference:
|
[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 |
Reference:
|
[13] Tanizaki H.: Nonlinear Filters: Estimation and Applications.Springer, Berlin 1996 Zbl 0925.93917, MR 1422253 |
Reference:
|
[14] Tsimring L. S., Sushchik M. M.: Multiplexing chaotic signals using synchronization.Phys. Lett. A 213 (1996), 155–166 |
Reference:
|
[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 |
Reference:
|
[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 |
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