Cover
Vol. 14 No. 1 (2014)

Published: January 31, 2014

Pages: 39-47

Original Article

ANALOG PROGRAMMABLE ELECTRONIC CIRCUIT- BASED CHAOTIC LORENZ SYSTEM

Fadhil Rahma 1 Ramzy S. Ali 1 Luigi Fortuna 2
1 Department of Electrical Engineering, College of Engineering, University of Basrah, Basrah, Iraq
2 Dipartimento di Ingegeneria Electtrica Elettronica e Informatica, Facoltà di Ingegneria, Università degli Studi di Catania, Catania, Italy
History
  • Received: October 31, 2013
  • Available Online: January 31, 2014
DOI

https://doi.org/10.33971/bjes.14.1.4

Abstract

In this paper, we present a new chaotic circuit based on the dynamical system introduced by E. Lorenz in the Journal of the atmospheric sciences, Vol. 20, 130-141(1963). The design and implementation of the circuit are accomplished by using a field programmable analog array (FPAA). The implementation of chaotic Lorenz attractor discussed in this paper is not present in the literature. The experimental results shown in this paper demonstrate that the circuit exhibits pre-chaotic transient and chaotic Lorenz attractor.

Keywords

References

  1. Chen, G., Yu, X:Chaos Control: Theory and Applications. Springer, Berlin (2003)
  2. Chua, K., T.,Zheng, W: Chaos in Electric Drive Systems Analysis, Control and Applications. John Wily, 2011
  3. Tang, W., Zhang, J.: A novel bounded 4D chaotic system. Nonlinear Dyn. 67 ,2455-2465(2012)
  4. Chen, G., Ueta, T: Yet another chaotic attractor. Int. J. Bifurcation and chaos, vol. 9, no. 7, pp.1465-1466, 1999
  5. Lü, J., Chen, G: A new chaotic attractor coined. Int. J. Bifurcation and chaos, vol. 12, no. 3, pp.659-661, 2002
  6. Lü , J., Chen, G., Cheng,Celikovský, D.: Bridge the gap between the Lorenz system and Chen system. Int. J. Bifurcation and chaos, vol. 12, no. 12, pp.2917-2926, 2002
  7. Yu,S., Lü, J., Chen, G., Yu, X: Generating grid multiwing chaotic attractors by constructing heteroclinic loops into switching systems. IEEE Trans. Circuits Syst. II, Exp. Briefs, vol. 58, no. 5, pp. 314–318, 2011
  8. Lü , J., Chen, G: generating multiscroll chaotic attractors: theories, methods and applications. Int. J. Bifurcation and chaos, vol. 16, no. 4, pp. 775-858, 2006
  9. F.T. Arecchi, L. Fortuna, and M. Frasca, '' Aprogrammbale electronic circuit for modeling CO 2 laser dynamics'', Chaos 15, 043104(1-7), (2005).
  10. M.Hulub, M. Frasca, L. Fotuna, and P. Arena, ''Implementation and synchronization of 3x3 grid scroll chaotic circuits with analog programmable devices'', Chaos 16, 013121(1-5) (2006).
  11. R. Kilic, F. Yildirim,'' Programmable design and implementation of a chaotic system utilizing multiple nonlinear functions'', Turk. J. Elec. & Comp. Sci, Vol. 18,No.4,2010.
  12. R. Kilic, A practical guide for studying Chua’s circuits, World scientific, 2010.
  13. P. Arean, A. Buscarino, L. Fortuna, M. Frasca, ''Separation and synchronization of piecewise linear chaotic systems", Physical Review E74, 026212(1-11), 2006.
  14. P. Falkowski, A. Malcher, '' Dynamically programmable analog arrays in acoustic frequency range signal processing'', Metrol Meas. Syst., Vol. XVIII, No.1, pp. 77-90, 2011.
  15. E. K. Lee, W. Hui,'' A novel switched capacitor based field-programmable analog array architecture '', Analog integrated circuits and signal processing, 17, 35-50, 1998.
  16. P. Asokan," Field Programmable Analog Array Implementation of Basrah Journal for Engineering Sciences Vol.14 , No.1 ,2014 Active Filter Controller" M.Sc. Thesis, Graduate Faculty of North Carolina State University, 2011.
  17. H. Wang, S. Kulkarni, and S. Targoudas, ''On line testing field programmable analog array circuits'', IEEE, ITC Int. test conference, ISBN 0-7803-8580/04, pp.1340-138,2004.
  18. Field Programmable Analog Arrays User Manual.(2003), from Anadigm company: http://www.anadigm.com/ .
  19. Dynamically field programmable analog array-user manual. (2003), from Anadigm company: http://www.anadigm.com/ .
  20. ANx21E04 Product Overview. (2003), from Anadigm company: http://www.anadigm.com/ .
  21. AN221E04 Datasheet. (2003), from Anadigm company: http://www.anadigm.com/ .
  22. Development Board Quick Start Guide. (2009), from Anadigm company: http://www.anadigm.com
  23. AN221K04-v4–AnadigmVortex Development Board. (2010), from Anadigm company: http://www.anadigm.com
  24. A., M., Abo, Design for reliability of low-voltage switched-capacitor circuits, Ph.D. Thesis, Engineering— Electrical Engineering and Computer Sciences in the graduate division of the University of California, Berkeley, 1999.
  25. E. Lorenz, ''Deterministic nonperiodic flow'', Journal of the atmospheric sciences, Vol. 20, 130-141(1963).
  26. AnadigmDesigner®2 User Manual. (2004), from Anadigm company: http://www.anadigm.com/.