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http://dx.doi.org/10.5762/KAIS.2012.13.1.311

Electronic Circuit Analysis of the Lorentz Chaotic System for Engineering Applications  

Han, Sang-Baek (Dept. of Nano Engineering, Inje University)
Jo, Mun-Kyu (Dept. of Nano Engineering, Inje University)
Song, Han-Jung (Dept. of Nano Engineering, Inje University)
Publication Information
Journal of the Korea Academia-Industrial cooperation Society / v.13, no.1, 2012 , pp. 311-316 More about this Journal
Abstract
In this paper, chaotic circuit of the Lorentz system for engineering applications was implemented using resistor, multipliers, capacitors and operational amplifiers. The implemented Lorentz chaotic system was analysed by PSPICE program. PSPICE simulation results show many kind of chaotic phenomena such time waveforms and phase plots. Meanwhile, according to resistor's variation, we got that Lorentz system show equilibrium state, periodic state and chaotic state.
Keywords
Lorentz System; Chaotic Circuit; Op-amp; Multiplier; PSPICE; Periodic State;
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1 Jonathan N. Blakely, Michael B. Eskridge, and Ned J. Corron, "High-frequency chaotic Lorenz circuit," Proc. IEEE SoutheastCon 2008, 69-74, 2008.
2 K.M Cuomo and A.V.Oppenheim, "Synchronization of Lorenz-based chaotic circuits with applications to communications", IEEE Trans. Circuits Syst. II 40(10), 626-633, 1993.   DOI   ScienceOn
3 I. Pehlivan and Y. Uyaroglu, "Simplified chaotic diffusionless Lorentz attractor and its application to secure communication systems", IEEE Commun. Vol. 1, NO. 5. October 2007.
4 Jonathan N. Blakely, Michael B. Eskridge, and Ned J. Corron. "A simple Lorenz circuit and its radio frequency implementation", Chaos 17(2), 023112, 2007.   DOI   ScienceOn
5 T. S. Parker and L. O. Chua, "Chaos: A Tutorial for Enginees" Proc. IEEE vol. 75, no. 8, pp. 982-1008. 1987.   DOI
6 R. May, "Simple mathematical models with very complicated dynamics, Nature", vol. 261 pp. 459-476, 1976.   DOI   ScienceOn
7 Fransis C. Moon, Chaotic Vibrations : An Introduction for Applied Scientists and Engineers, John Wiley & SONS, 1992.
8 R.Tokunaga,M.Komuro, T. Matsumoto, and L. O. Chua, "'Lorenz attractor' from an electrical circuit with uncoupled continuous piecewise linear resistor," Int. J. Circ. Theory Appl. 17(1), 71-85, 1989.   DOI   ScienceOn
9 G. O. Zhong and F. Ayrom, "Experimental confirmation of chaos from Chua's circuit", Int. J. Circuit Theory and Applications, vol. 13, no. 1, pp. 93-98, 1985.   DOI
10 L. Kocarev, K. S. Halle, K. Eckert and L. O. Chua, "Expermental Demonstration of Secure Communication via Chaotic Synchronization" Int.J. Bifurcation and Chaos, vol. 2, no. 3, pp. 709-713, 1992.   DOI