Making Chua’s Diode With A Schottky Diode-Bridge-Fed Jfet Mosfet

Yıl 2021, Cilt: 22 Sayı: 2, 41 - 50, 31.12.2021

Ülkühan Karayaka Cansu Alakuş Reşat Mutlu , Ertuğrul Karakulak

Öz

Chua circuit is a paradigm for Chaos and commonly used in chaos studies. It has been invented in 1983 and has many variations. Its nonlinear circuit element is called Chua’s diode and it has also lots of different variations. In this study, a circuit which consists of an n type JFET fed by a Schottky diode bridge and a resistor are used to make a Chua’s diode and a Chua’s circuit is made with it. Piecewise-linear Chua’s diode parameters are calculated using parameters of the JFET and the other circuit elements. Experiments are performed to show the circuit’s chaotic behavior.

Anahtar Kelimeler

chua circuit, chua’s diode, chaotic oscillators, chaos, jfet..

Kaynakça

• Alldatasheets, https://www.alldatasheet.com/datasheetpdf/pdf/983997/PACELEADER/1N5819.html, Retrieved 15.05.2021.
• Arena, P., Baglio, S., Fortuna, L., Manganaro, G. (1995). Chua's circuit can be generated by CNN cells. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 42(2), 123-125.
• Chua , L. O., (1992), “The genesis of Chua’s circuit,” Int. J. Electron., Communicat., vol. 46, no. 4, 1992.
• Chua, L. O. (1999). Passivity and complexity. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 46(1), 71-82.
• Chua, L. O. (2007). Chua circuit. Scholarpedia, 2(10), 1488.
• Chua, L. O. (2005) Local Activity is the Origin of Complexity, International Journal of Bifurcation and Chaos, 15: 3435-3456.
• Chua, L. O., Yu, J., Yu, Y. (1983). Negative resistance devices. International Journal of Circuit Theory and Applications, 11(2), 161-186.
• Dana, S.K., Chakraborty, S., Ananthakrishna, G. (2005). Homoclinic bifurcation in Chua’s circuit. Pramana, 64(3), 443-454.
• Haken H., (1975), “Analogy between higher instabilities in fluids and lasers,” Phys. Lett. A, vol. 53, no. 1, pp. 77–78.
• Hemati, N., (1994), “Strange attractors in brushless DC motors,” IEEE Trans. Circuits Syst. I Fundam. Theory Appl., vol. 41, no. 1, pp. 40–45,
• Kennedy, M. P. (1992). Robust OP Amp realization of chua's circuit. Frequenz., 46(3), 66-80.
• Khibnik, A. I., Roose, D., Chua, L. O. (1993). On periodic orbits and homoclinic bifurcations in Chua’s circuit with a smooth nonlinearity. International Journal of Bifurcation and Chaos, 3(02), 363-384.
• Knobloch, E. (1981), “CHAOS IN THE SEGMENTED DISC DYNAMO,” Phys. Lett., vol. 82A, no. 9, pp. 439–440.
• Lorenz, E. (1963). Chaos in meteorological forecast. Journal of the Atmospheric Sciences, 20(2), 130-141.
• Lorenz, E. N. (1963). Deterministic nonperiodic flow. Journal of the atmospheric sciences, 20(2), 130-141.
• Lorenz, E. (1972). Predictability: does the flap of a butterfly's wing in Brazil set off a tornado in Texas? (p. 181). na.
• Madan, Rabinder N. (1993). Chua's circuit: a paradigm for chaos. River Edge, N.J.: World Scientific Publishing Company. Bibcode:1993ccpc.book.....M. ISBN 981-02-1366-2.
• Matsumoto, T. (1984). A chaotic attractor from Chua's circuit. IEEE Transactions on Circuits and Systems, 31(12), 1055-1058.
• Muthuswamy B., (2010), "Implementing memristor based chaotic circuits", International Journal of Bifurcation and Chaos, Vol. 20, No. 5 1335–1350, World Scientific Publishing Company, doi:10.1142/S0218127410026514.
• O'Donoghue, K., Kennedy, M. P., & Forbes, P. (2005). “A fast and simple implementation of Chua's oscillator using a" cubic-like" Chua diode. In Proceedings of the 2005 European Conference on Circuit Theory and Design, 2005. (Vol. 2, pp. II-83). IEEE.
• Recai, K. (2010). A practical guide for studying Chua's circuits (Vol. 71). World Scientific.
• Sedra, A. S., Sedra, D. E. A. S., Smith, K. C., & Smith, K. C. (1998). Microelectronic circuits. New York: Oxford University Press.
• Xu, Q., & Bao, B. C. (2015). Simplified Chua's attractor via bridging a diode pair. The Journal of Engineering, 2015(4), 125-127.
• Yamaçlı, V., Abacı, K., & Köse, E. (2011) “Chua Devresinin Gerçeklenmesi ve Simülasyonu”. In 6th International Advanced Techlogies Symposium, Elazığ-Türkiye (pp. 82-86).
• Yener Ş.Ç., Kuntman, H. H., (2014), “Fully CMOS memristor based chaotic circuit,” Radioengineering, vol. 23, no. 4.
• Yesil A., Babacan Y., (2019), “Implementation of Electronically Controllable Memristor Based Chua Circuit,” J. Inst. Sci. Technol., vol. 9, no. 1, pp. 121–129.
• Zhong, G. Q. (1994). Implementation of Chua's circuit with a cubic nonlinearity”, IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 41(12), 934-941.