Abstract
Although literature presents several alternatives, an approach based on the electronic analogy was still not considered for the implementation of an inductor-free realization of the double scroll Chua’s circuit. This paper presents a new inductor-free configuration of the Chua’s circuit based on the electronic analogy. This proposal results in a versatile and functional inductorless implementation of the Chua’s circuit that offers new and interesting features for several applications. The analogous circuit is implemented and used to perform an experimental mapping of a large variety of attractors.
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References
Ditto, W., Munakata, T.: Principles and applications of chaotic systems. Commun. ACM 38, 96–102 (1995)
Yang, S.-K., Chen, C.-L., Yau, H.-T.: Control of chaos in Lorenz system. Chaos Solitons Fractals 13, 767–780 (2002)
Cuomo, K.M., Oppenheim, A.V., Strogatz, S.H.: Synchronization of Lorenz-based chaotic circuits with applications to communications. IEEE Trans. Circuits Syst. II 40, 626–633 (1993)
Kiers, K., Schmidt, D., Sprott, J.C.: Precision measurements of a simple chaotic circuit. Am. J. Phys. 72, 503–509 (2004)
Madan, R.N.: Chua’s Circuit: A Paradigm for Chaos. World Scientific, Singapore (1993)
Medrano-T., R.O., Baptista, M.S., Caldas, I.L.: Basic structures of the Shilnikov homoclinic bifurcation scenario. Chaos 15, 33112 (2005)
Brown, R.: Generalizations of the Chua equations. IEEE Trans. Circuits Syst. I 40, 878–884 (1993)
Matsumoto, T., Chua, L.O., Komuro, M.: The double scroll. IEEE Trans. Circuits Syst. 32, 797–818 (1985)
Matsumoto, T., Chua, L.O., Komuro, M.: The double scroll bifurcations. Int. J. Circuit Theory Appl. 14, 117–146 (1986)
Zhong, G.O., Ayrom, F.: Experimental confirmation of chaos from Chua’s circuit. Int. J. Circuit Theory Appl. 13, 93–98 (1985)
Kennedy, M.P.: Robust op-amp realization of Chua’s circuit. Frequenz 46, 66–80 (1992)
Senani, R., Gupta, S.S.: Implementation of Chua’s chaotic circuit using current feedback op-amps. Electron. Lett. 34, 829–830 (1998)
Elwakil, A.S., Kennedy, M.P.: Improved implementation of Chua’s chaotic oscillator using current feedback op-amp. IEEE Trans. Circuits Syst. I 47, 289–306 (2000)
Cruz, J.M., Chua, L.O.: A CMOS IC nonlinear resistor for Chua’s circuit. IEEE Trans. Circuits Syst. I 39, 985–995 (1992)
Morgül, Ö.: Inductorless realization of Chua’s oscillator. Electron. Lett. 31, 1424–1430 (1995)
Weldon, T.P.: An inductorless Double Scroll chaotic circuit. Am. J. Phys. 58, 936–941 (1990)
Tôrres, L.A.B., Aguirre, L.A.: Inductorless Chua’s circuit. Electron. Lett. 36, 1915–1916 (2000)
Cruz, J.M., Chua, L.O.: A CMOS IC chip of Chua’s circuit. IEEE Trans. Circuits Syst. I 40, 614–625 (1993)
Rodriguez-Vazquez, A., Delgado-Restituto, M.: CMOS design of chaotic oscillators using variables: a monolithic Chua’s circuit. IEEE Trans. Circuits Syst. II 40, 596–611 (1993)
Kiliç, R., Çam, U., Alçi, M., Kuntman, H.: Improved realization of mixed-mode chaotic circuit. Int. J. Bifurc. Chaos Appl. Sci. Eng. 12, 1429–1435 (2002)
Kiliç, R.: A comparative study on realization of Chua’s circuit: hybrid realizations of Chua’s circuit combining the circuit topologies proposed for Chua’s diode and inductor elements. Int. J. Bifurc. Chaos Appl. Sci. Eng. 13, 1475–1493 (2003)
Rocha, R., Martins Filho, L.S., Machado, R.F.: A methodology for teaching of dynamical systems using analogous electronic circuits. Int. J. Electr. Eng. Educ. 43, 334–345 (2006)
Feigenbaum, M.J.: Quantitative universality for a class of nonlinear transformations. J. Stat. Phys. 191, 25–52 (1978)
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Rocha, R., Medrano-T., R.O. An inductor-free realization of the Chua’s circuit based on electronic analogy. Nonlinear Dyn 56, 389–400 (2009). https://doi.org/10.1007/s11071-008-9408-5
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DOI: https://doi.org/10.1007/s11071-008-9408-5