Research Article

Theoretical and Experimental Investigations of a Jerk Circuit with Two Parallel Diodes

Volume: 2 Number: 2 November 30, 2020
EN

Theoretical and Experimental Investigations of a Jerk Circuit with Two Parallel Diodes

Abstract

A Jerk circuit with two parallel diodes is proposed and analyzed in this paper. The system describing the proposed jerk circuit has two or no equilibrium points depending on the system parameters. The existence of Hopf bifurcation is established during the stability analysis of the equilibrium points. The proposed jerk circuit exhibits one scroll chaotic attractor and periodic attractors. An experimental study is presented to support theoretical investigations. The experimental results is shown consistency with numerical simulation results.

Keywords

References

  1. Arneodo, A., P. Coullet, C. Tresser, et al., 1981 Possible new strange attractors with spiral structure. Communications in Mathematical Physics 79: 573–579.
  2. Bouali, S., A. Buscarino, L. Fortuna, M. Frasca, and L. Gambuzza, 2012 Emulating complex business cycles by using an electronic analogue. Nonlinear Analysis: RealWorld Applications 13: 2459–2465.
  3. Chen, G. and T. Ueta, 1999 Yet another chaotic attractor. International Journal of Bifurcation and chaos 9: 1465–1466.
  4. Chua, L. O., C. W. Wu, A. Huang, and G.-Q. Zhong, 1993 A universal circuit for studying and generating chaos. i.routes to chaos. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications 40: 732– 744.
  5. Chunxia, L., Y. Jie, X. Xiangchun, A. Limin, Q. Yan, et al., 2012 Research on the multi-scroll chaos generation based on jerk mode. Procedia Engineering 29: 957–961.
  6. Djati, N. S. G., 2011 Bidirectional chaotic synchronization of hindmarsh-rose neuron model. Applied Mathematical Sciences 5: 2685–2695.
  7. Genesio, R. and A. Tesi, 1992 Harmonic balance methods for the analysis of chaotic dynamics in nonlinear systems. Automatica 28: 531–548.
  8. Lian, S., J. Sun, G. Liu, and Z. Wang, 2008 Efficient video encryption scheme based on advanced video coding. Multimedia Tools and Applications 38: 75–89.

Details

Primary Language

English

Subjects

Electrical Engineering

Journal Section

Research Article

Publication Date

November 30, 2020

Submission Date

May 15, 2020

Acceptance Date

July 7, 2020

Published in Issue

Year 2020 Volume: 2 Number: 2

APA
Guillaume Honoré, K., Leopold Parfait, N. N., Ainamon, C., & Kingni, S. T. (2020). Theoretical and Experimental Investigations of a Jerk Circuit with Two Parallel Diodes. Chaos Theory and Applications, 2(2), 52-57. https://izlik.org/JA65LJ53MG
AMA
1.Guillaume Honoré K, Leopold Parfait NN, Ainamon C, Kingni ST. Theoretical and Experimental Investigations of a Jerk Circuit with Two Parallel Diodes. CHTA. 2020;2(2):52-57. https://izlik.org/JA65LJ53MG
Chicago
Guillaume Honoré, Kom, Nguemkoua Nguenjou Leopold Parfait, Cyrille Ainamon, and Sifeu T. Kingni. 2020. “Theoretical and Experimental Investigations of a Jerk Circuit With Two Parallel Diodes”. Chaos Theory and Applications 2 (2): 52-57. https://izlik.org/JA65LJ53MG.
EndNote
Guillaume Honoré K, Leopold Parfait NN, Ainamon C, Kingni ST (November 1, 2020) Theoretical and Experimental Investigations of a Jerk Circuit with Two Parallel Diodes. Chaos Theory and Applications 2 2 52–57.
IEEE
[1]K. Guillaume Honoré, N. N. Leopold Parfait, C. Ainamon, and S. T. Kingni, “Theoretical and Experimental Investigations of a Jerk Circuit with Two Parallel Diodes”, CHTA, vol. 2, no. 2, pp. 52–57, Nov. 2020, [Online]. Available: https://izlik.org/JA65LJ53MG
ISNAD
Guillaume Honoré, Kom - Leopold Parfait, Nguemkoua Nguenjou - Ainamon, Cyrille - Kingni, Sifeu T. “Theoretical and Experimental Investigations of a Jerk Circuit With Two Parallel Diodes”. Chaos Theory and Applications 2/2 (November 1, 2020): 52-57. https://izlik.org/JA65LJ53MG.
JAMA
1.Guillaume Honoré K, Leopold Parfait NN, Ainamon C, Kingni ST. Theoretical and Experimental Investigations of a Jerk Circuit with Two Parallel Diodes. CHTA. 2020;2:52–57.
MLA
Guillaume Honoré, Kom, et al. “Theoretical and Experimental Investigations of a Jerk Circuit With Two Parallel Diodes”. Chaos Theory and Applications, vol. 2, no. 2, Nov. 2020, pp. 52-57, https://izlik.org/JA65LJ53MG.
Vancouver
1.Kom Guillaume Honoré, Nguemkoua Nguenjou Leopold Parfait, Cyrille Ainamon, Sifeu T. Kingni. Theoretical and Experimental Investigations of a Jerk Circuit with Two Parallel Diodes. CHTA [Internet]. 2020 Nov. 1;2(2):52-7. Available from: https://izlik.org/JA65LJ53MG

Chaos Theory and Applications in Applied Sciences and Engineering: An interdisciplinary journal of nonlinear science 23830 28903   

The published articles in CHTA are licensed under a Creative Commons Attribution-NonCommercial 4.0 International License Cc_by-nc_icon.svg