Abstract
The implementation of a chaotic oscillator which is based on Chua’s circuit, is presented. Chua’s diode is realized by using current feedback operational amplifiers (CFOAs). Furthermore, it is shown that a CMOS compatible CFOA can be designed by connecting two voltage followers sandwiched between two current mirrors. The proposed implementation is biased at ±1.2 V, and simulated by using SPICE and standard CMOS technology of 0.35 μm. Finally, simulation results are presented to show the sequence of chaotic behaviours for increasing values of the linear resistance.
We’re sorry, something doesn't seem to be working properly.
Please try refreshing the page. If that doesn't work, please contact support so we can address the problem.
References
J.M. Cruz and L.O. Chua, “A CMOS IC nonlinear resistor for Chua’s Circuit.” IEEE Trans. CAS, vol. 39, pp. 985–995, 1992.
Peter Stavroulakis, Chaos Applications in Telecommunications, CRC Press, 2005.
R. Michael and Peter Kennedy “Robust opamp realization of Chua’s circuit.” Frequenz, vol. 46, nos.3–4, pp. 66–80, 1992.
A.S. Elwakil and M.P. Kennedy, “Improved implementation of Chua’s chaotic oscillator using current feedback OpAmp.” IEEE CAS-I, vol. 47, no. 1, pp. 76–79, 2000.
Senani, S.S. Gupta, “Implementation of Chua’s chaotic circuit using current feedback opamps.” Electronics Letters, vol. 34, no. 9, 1998.
T. Matsumoto, L.O. Chua, and M. Komuro, “The double scroll,” IEEE Trans. CAS, 32, 8, pp 797–818, 1985.
C. Toumazou, B. Gilbert, and G.S. Moschytz, Trade-Offs in Analog Circuit Design, Kluwer Academic Publishers, 2002.
Gaetano Palumbo and Salvatore Pennisi, Feedback Amplifiers: Theory and Design, Kluwer Academic Publishers, 2002.
E. Tlelo-Cuautle, D. Torres-Muñoz, and L. Torres-Papaqui, “On the computational synthesis of CMOS voltage followers.” IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, vol. E88-A, no. 12, pp. 3479–3484, 2005.
L. Torres-Papaqui, D. Torres-Muñoz, and E. Tlelo-Cuautle, “Synthesis of VFs and CFs by manipulation of generic cells.” Analog Integrated Circuits and Signal Processing, vol. 46, no. 2, pp. 99–102, 2006. DOI: 10.1007/s10470–005–0900–2.
S. Gupta, and R. Senani, “New single-resistance-controlled oscillator configurations using unity-gain cells,” Analog Integrated Circuits and Signal Processing, vol. 46, no. 2, pp. 11–119, 2006. DOI: 10.1007/s10470–005–0985–7.
Gaurav Gandhi, “An improved Chua’s circuit and its use in hyperchaotic circuit,” Analog Integrated Circuits and Signal Processing, vol. 46, no. 2, pp. 173–178, 2006. DOI: 10.1007/s10470–005–0376–0.
D. Torres-Muñoz and E. Tlelo-Cuautle, “Automatic biasing and sizing of CMOS analog integrated circuits.” IEEE MWSCAS, Cincinnati, Ohio, August 2005.
Author information
Authors and Affiliations
Corresponding author
Additional information
Esteban Tlelo-Cuautle received the B.Sc. degree in electronics engineering from the Technologic Institute of Puebla (ITP) México, in 1993, the M.Sc. and Ph.D. degrees from the National Institute for Astrophysics, Optics and Electronics (INAOE) México, in 1995 and 2000, respectively. In 1995 he joined the Department of Electronics at the ITP. Since 2001 he has been with the Department of Electronics at INAOE, where he is currently a Researcher. He has been member of reviewer-committees for the IEEE Trans. on CAS-I, IEEE Trans. on Education, IEEE Latin-America, Información Tecnológica, SCI Journal, IASTED, and IEEE ISCAS. He is member of IEICE, Senior Member of the IEEE, and his research interest include electronic design automation, modeling and simulation, symbolic analysis, circuit synthesis, and analog and mixed-signal CAD tools.
Aarón Gaona-Hernández was born in Puebla, México in 1980. He received his B.Sc. degree from the Faculty of Sciences for Electronics at the Autonomous University of Puebla (BUAP-FCE), in 2005. His research interest include analog IC design and chaotic systems.
Joel García-Delgado is with the BUAP-FCE México.
About this article
Cite this article
Tlelo-Cuautle, E., Gaona-Hernández, A. & García-Delgado, J. Implementation of a chaotic oscillator by designing Chua’s diode with CMOS CFOAs. Analog Integr Circ Sig Process 48, 159–162 (2006). https://doi.org/10.1007/s10470-006-7299-2
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10470-006-7299-2