Gülden Günay BULUT, M. Emin ŞAHİN, Hasan GÜLER

An implementation of chaotic circuits with Multisim-LabVIEW

In last decades, chaos phenomenon and chaotic systems are defined as a nonlinear behavior have received a plenty of attention. In many areas, a chaotic system is used due to chaotic signals depend very sensitively on initial conditions, have unpredictable features and noise like wideband spread spectrum. In literature as well as the basic chaotic systems, there are many hybrid chaotic systems. In this paper, Sprott case A chaotic system is formed by using OP-AMPS and other appropriate circuit components on Multisim environment. This model is being constructed for each chaotic system, so the results of mathematical simulations of these chaotic differential equations can be seen. Convenient chaotic behavior is observed, circuit simulation is conducted via co-simulation between Multisim and LabVIEW. The simulation results show similar behavior when it is compared with the theoretical chaotic system.

Keywords:

Chaos, Chaotic Systems Labview, Sprott Chaotic System, Multisim,

PDF

___

1. Poincaré, H., 1967. New Methods of Celestial Mechanics, 3 vols. (English trans.). American Institute of Physics.
2. Lorenz E.N "Deterministic Nonperiodic Flow" Journal Of Atmospheric Siences, 1963. 20:130-141.
3. Chua, L.O., Desoer, C. A., Kuh, E. S., 1987. Linear and Nonlinear Circuits”, New York: McGraw Hill.
4. Chen G., Ueta T. Yet Another Chaotic Attractor, International Journal of Bifurcation and Chaos, 1999. 9(7): 1465–1466.
5. Rössler, Otto E., An equation for continuous chaos, Physics Letters A,1976. 57(5): 397-398.
6. Sprott JC., Some Simple Chaotic Flows, Physical Review E., 1994. 50(2):647-650.
7. Van der Pol, B., "On relaxation-oscillations", The London, Edinburgh and Dublin Phil. Mag. & J. of Sci., 1926. 2(7), 978-992. 8. Rucklidge A.M "Chaos in Models of Double Convection" J. Fluid Mech., 1992. 237:209-229.
9. C. Liu, T. Liu, L. Liu, K. Liu, "A new chaotic attractor coined", Chaos Solitons Fract., 2004. 22: 1031–1038.
10. X. Wang, G. Chen, "A new system with only one stable equilibrium", Commun. Nonlinear Sci. Numer. Simulat, 2011. 17: 1264–1272.
11. Z. Wei, . Pehlivan, "Analysis, nonlinear control, and chaos generator circuitof another strange chaotic system" Turk J. Elec. Eng. & Comp. Sci., 2012. 20240: 1229–1239.
12. P. Zhou, K. Huang, "A new 4-d non-equilibrium fractional-order chaotic system and its circuit implementation", Commun. Nonlinear Sci. Numer. Simulat., 2014. 19: 2005–2011.
13. C. L. Li, J. B. Xiong, W. Li, "A new hyperchaotic system and its generalized synchronization", Optik, 2014. 125: 575–579.
14. A. M. A. El-Sayed, H. M. Nour, A. Elsaid, A. E. Matouk, A. Elsonbaty, "Circuit realization, bifurcations, chaos and hyperchaos in a new 4d system",Appl. Math. Comput., 2014. 239: 333–345.
15. A. Abooe, H. A. Yaghini-Bonabi, M. R. Jahed-Motlagh, "Analysis and circuitry realization of a novel three-dimensional chaotic system", Commun. Nonlinear Sci. Numer. Simulat., 2013. 18: 1235–1245.
16. S.Çiçek, A.Ferikoğlu, İ.Pehlivan "A new 3D chaotic system: dynamical analysis, electronic circuit design, active control synchronization and chaotic masking communication application" Optik (Accepted Manuscript)
17. Saptarshi Das , Anish Acharya, Indranil Pan, "Simulation studies on the design of optimum PID controllers to suppress chaotic oscillations in a family of Lorenz-like multi-wing attractors" Mathematics and Computers in Simulation, 2014. 100: 72–87.
18. S. Wiggins, Introduction to Applied Nonlinear Dynamical Systems and Chaos, Springer, New York, 2003.
19. Sprott JC "Some Simple Chaotic Flows" Physical Review E., 1994 50(2):647-650.
20. Olurotomi S., Abdulahi N.,N, Njah, "A 5D Hyper Chaotic Sprott B System with Coexisting Hidden Attractors" Chaos Solutions and Fractals, 2016. 87: 172-181.
21. Gözde Kargün "Secure Communication Aplication with Chaotic Systems" Master Thesis. Bilecik Seyh Edebali University Graduate School of Sience Electrical-Electronics Engineering. 1-156. Bilecik, 2014.
22. ME Sahin, H Guler, T Kaya, LabVIEW Model Of Memristor With Nonlinear Dopant Drift, European Journal of Technic, 2016. 6 (2): 124-130.
23. Guler, H., & Ata, F. The Comparison of Manual and LabVIEW Based-Fuzzy Control on Mechanical Ventilation. Journal of Engineering in Medicine, 2014. p. 916-925.

International Advanced Researches and Engineering Journal-Cover

Yayın Aralığı: Yılda 3 Sayı
Başlangıç: 2017
Yayıncı: Dr. Ceyhun YILMAZ

Arşiv