Research Article

Analog Circuit Implementation of Fractional-Order Modified Chua’s Circuit

Volume: 7 Number: 2 July 31, 2025
EN

Analog Circuit Implementation of Fractional-Order Modified Chua’s Circuit

Abstract

In this paper, the analog circuit implementation of a fractional-order chaotic system is presented. Fractionalization is achieved by replacing integer-order capacitors and inductors with their fractional-order counterparts in Chua’s circuit. The paper provides a model for implementing fractional-order capacitors and inductors in the circuit. The results obtained from simulating the fractional-order Chua’s circuit are compared with those derived from the Grünwald-Letnikov numerical solution. All results show strong agreement.

Keywords

References

  1. Abd El-Maksoud, A. J., A. A. Abd El-Kader, B. G. Hassan, M. A. Abdelhamed, N. G. Rihan, et al., 2018 FPGA implementation of fractional-order Chua’s chaotic system. In 2018 7th international conference on modern circuits and systems technologies (MOCAST), (pp. 1–4), IEEE.
  2. Abd El-Maksoud, A. J., A. A. Abd El-Kader, B. G. Hassan, N. G. Rihan, M. F. Tolba, et al., 2019 FPGA implementation of sound encryption system based on fractional-order chaotic systems. Microelectronics Journal 90: 323–335.
  3. Adhikary, A., S. Sen, and K. Biswas, 2016 Practical realization of tunable fractional order parallel resonator and fractional order filters. IEEE Transactions on Circuits and Systems I: Regular Papers 63(8): 1142–1151.
  4. Ahmad, W., R. El-Khazali, and A. S. Elwakil, 2001 Fractional-order Wien-bridge oscillator. Electronics Letters 37(18): 1110–1112.
  5. Boudjerida, N., M. S. Abdelouahab, R. Lozi, 2022 Modified projective synchronization of fractional-order hyperchaotic memristorbased Chua’s circuit. Journal of Innovative Applied Mathematics and Computational Sciences 2(3): 69–85.
  6. A. Charef, H. H. Sun, Y. Y. Tsao, and B. Onaral, 1992 Fractal system as represented by singularity function. IEEE Transactions on automatic Control 37(9): 1465–1470.
  7. H. Chen, F. Holland, and M. Stynes, 2019 An analysis of the Grünwald-Letnikov scheme for initial-value problems with weakly singular solutions. Applied Numerical Mathematics 139: 52–61.
  8. De la Sen, M., S. Deniz, and H. Sözen, 2021 A new efficient technique for solving modified Chua’s circuit model with a new fractional operator. Advances in Difference Equations 2021: 1– 16.

Details

Primary Language

English

Subjects

Circuits and Systems, Electrical Engineering (Other)

Journal Section

Research Article

Publication Date

July 31, 2025

Submission Date

February 5, 2025

Acceptance Date

April 14, 2025

Published in Issue

Year 2025 Volume: 7 Number: 2

APA
Arıcıoğlu, B. (2025). Analog Circuit Implementation of Fractional-Order Modified Chua’s Circuit. Chaos Theory and Applications, 7(2), 117-124. https://doi.org/10.51537/chaos.1633880
AMA
1.Arıcıoğlu B. Analog Circuit Implementation of Fractional-Order Modified Chua’s Circuit. CHTA. 2025;7(2):117-124. doi:10.51537/chaos.1633880
Chicago
Arıcıoğlu, Burak. 2025. “Analog Circuit Implementation of Fractional-Order Modified Chua’s Circuit”. Chaos Theory and Applications 7 (2): 117-24. https://doi.org/10.51537/chaos.1633880.
EndNote
Arıcıoğlu B (July 1, 2025) Analog Circuit Implementation of Fractional-Order Modified Chua’s Circuit. Chaos Theory and Applications 7 2 117–124.
IEEE
[1]B. Arıcıoğlu, “Analog Circuit Implementation of Fractional-Order Modified Chua’s Circuit”, CHTA, vol. 7, no. 2, pp. 117–124, July 2025, doi: 10.51537/chaos.1633880.
ISNAD
Arıcıoğlu, Burak. “Analog Circuit Implementation of Fractional-Order Modified Chua’s Circuit”. Chaos Theory and Applications 7/2 (July 1, 2025): 117-124. https://doi.org/10.51537/chaos.1633880.
JAMA
1.Arıcıoğlu B. Analog Circuit Implementation of Fractional-Order Modified Chua’s Circuit. CHTA. 2025;7:117–124.
MLA
Arıcıoğlu, Burak. “Analog Circuit Implementation of Fractional-Order Modified Chua’s Circuit”. Chaos Theory and Applications, vol. 7, no. 2, July 2025, pp. 117-24, doi:10.51537/chaos.1633880.
Vancouver
1.Burak Arıcıoğlu. Analog Circuit Implementation of Fractional-Order Modified Chua’s Circuit. CHTA. 2025 Jul. 1;7(2):117-24. doi:10.51537/chaos.1633880

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

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