A Multiscroll Chaotic Attractor and its Electronic Circuit Implementation

Year 2019, Volume: 1 Issue: 1, 29 - 37, 30.11.2019

İhsan Pehlivan , Ersin Kurt Qiang Lai , Aziz Basaran Mustafa Kutlu

Abstract

Chaotic systems and signals are used in a variety of technical and technical applications due to their wide range of noise-like performance and random behaviour. In this study to diversify potential chaotic signal generator circuits; Lu-Chen 2003 system with multi-scroll attractors was first designed an electronic oscillator circuit in a computer environment and then a real electronic circuit was manufactured. The presented results of the comparison simulation and the oscilloscope show that a successful design has been achieved.

Keywords

Chaos, Multiscroll chaotic system, Electronic circuit design

References

• [1] Edward N Lorenz. Deterministic nonperiodic flow. Journal of the atmospheric sciences, 20(2):130{141, 1963.
• [2] Otto E Rossler. An equation for continuous chaos. Physics Letters A, 57(5):397{398, 1976.
• [3] Muthusamy Lakshmanan and Kallummal Murali. Chaos in nonlinear oscillators: controlling and synchronization, volume 13. World scientific, 1996.
• [4] Leon O Chua, ChaiWahWu, Anshan Huang, and G-Q Zhong. A universal circuit for studying and generating chaos. i. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 40(10):745{761, 1993.
• [5] J Cascais, R Dilao, and A Noronha Da Costa. Chaos and reverse bifurcation in a RCL circuit. Physics Letters A, 93(5):213{216, 1983.
• [6] S Nakagawa and T Saito. An rc ota hysteresis chaos generator. In 1996 IEEE International Symposium on Circuits and Systems. Circuits and Systems Connecting the World. ISCAS 96, volume 3, pages 245{248. IEEE, 1996.
• [7] A Tamasevicius, A Namajunas, and A Cenys. Simple 4d chaotic oscillator. Electronics Letters, 32(11):957{958, 1996.
• [8] Maciej J Ogorzalek. Order and chaos in a third-order rc ladder network with nonlinear feedback. IEEE Transactions on circuits and systems, 36(9):1221{1230, 1989.
• [9] Hiroshi Kawakami. Bifurcation of periodic responses in forced dynamic nonlinear circuits: Computation of bifurcation values of the system parameters. IEEE Transactions on circuits and systems, 31(3):248{260, 1984.
• [10] G Poddar, K Chakrabarty, and S Banerjee. Control of chaos in the boost converter. Electronics letters, 31(11):841{842, 1995.
• [11] Chi K Tse. Flip bifurcation and chaos in three-state boost switching regulators. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 41(1):16{23, 1994.
• [12] David F Delchamps. Some chaotic consequences of quantization in digital filters and digital control systems. In IEEE International Symposium on Circuits and Systems, pages 602{605.IEEE, 1989.
• [13] Leon O Chua and Tao Lin. Chaos and fractals from third-order digital filters. International journal of circuit theory and applications, 18(3):241{255, 1990.
• [14] Leon O Chua and T Lin. Fractal pattern of second-order non-linear digital filters: a new symbolic analysis. International Journal of Circuit Theory and Applications, 18(6):541{550,1990.
• [15] Chunbiao Li, Ihsan Pehlivan, Julien Clinton Sprott, and Akif Akgul. A novel four-wing strange attractor born in bistability. IEICE Electronics Express, 12(4):20141116{20141116, 2015.
• [16] Akif Akgul, Irene Moroz, Ihsan Pehlivan, and Sundarapandian Vaidyanathan. A new fourscroll chaotic attractor and its engineering applications. Optik, 127(13):5491{5499, 2016.