Six-Dimensional Chaotic System and its Circuit Implementation

Article Preview

Abstract:

In order to generate complex chaotic attractors, a six-dimensional chaotic system is designed, which contains six parameters and each equation contains a nonlinear product term. When its parameters satisfy certain conditions, the system is chaotic. By Matlab numerical simulation, chaotic attractor and relevant Lyapunov exponents spectrum can be obtained, which validates that the system is chaotic. And, time domain waveform and power spectrum are shown. Finally, the implementation circuit of this system is designed, and circuit simulation can be done by using Multisim. Circuit simulation result is identical to system simulation completely. The circuit has a practical significance in secrecy communication and correlative fields.

You might also be interested in these eBooks

Info:

Periodical:

Advanced Materials Research (Volumes 255-260)

Pages:

2018-2022

Citation:

Online since:

May 2011

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2011 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] 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, 2000.

DOI: 10.1109/4234.841319

Google Scholar

[2] F. Agnelli, G. Mazzini, R. Rovatti, and G. Setti, "A first experimental verification of optimum MAI reduction in chaos-based DS-CDMA systems," in Proc. Int. Symp. Circuits and Systems,vol. III,Sydney. Australia,pp.137-140, 2001.

DOI: 10.1109/iscas.2001.921265

Google Scholar

[3] A. Dmitriev, B. Kyarginsky, A. Panas, and S. Starkov, "Direct chaotic communication system experiments," in Proc. Int. Workshop Nonlinear Dynamics in Electronic Systems, Delft, The Netherlands, pp.157-160, 2001.

Google Scholar

[4] G. Chen, and T. Ueta, "Chaos in Circuits and Systems," World Scientific, Singapore, 2002.

Google Scholar

[5] J. Lü,G. Chen, "Generating multiscroll chaotic attractors: theories,methods and applications," Int. J. Bifurcation and Chaos, 16(4):pp.775-858, 2006.

DOI: 10.1142/s0218127406015179

Google Scholar

[6] T. G. Gai, Z. Q. Chen, Z. Z. Yuan, and Q. L. Gu, "Study on synchronization of chaotic systems based on observer," 2004, Acta Phys.Sin.55 4005(in chinese).

Google Scholar

[7] J. Hao, and W. Li, "Phase synchronization of Rossler in two coupled harmonic oscillators," 2005, Acta Phys.Sin.54 3491.

Google Scholar

[8] G. Chen, J. Lü, "control and sysnchrinization of the generalized lorenz systems family," Beijing:Science Press (in Chinese), Dynamical analysis, 2003.

Google Scholar

[9] G. Y. Wang, S. S. Qiu, and Z. Xu, "A new three-dimensional quadratic Chaotic System and its Circuitry Implementation," Acta Phys.Sin.55 3295(in Chinese).

Google Scholar

[10] F. Z. Wang, G. Y. Qi, Z. Q. Chen, and Z. Z. Yuan, "On a four winged Chaotic attractor," 2007 Acta Phys.Sin.56 3290(in Chinese).

Google Scholar

[11] Jianliang Zhu, and Hongchao Zhao, "Five-dimensional Chaotic System and Its Circuitry Implementation," 2009 Proc IEEE CISP, pp.4232-4236.

Google Scholar