EN
DIGITALLY PROGRAMMABLE MULTI-SCROLL CHAOS GENERATOR ON FPGA
Öz
Multi-scroll chaotic attractors exhibit higher unpredictability than double-scroll attractors. However, the more number of scrolls cost the more usage of sources. To overcome this problem, the attractor design should be simplified. This paper presents a systematic approach that enables to realize digital piece wise linear (PWL) function in nonlinear dynamical system and to obtain whole behaviors in only one model. The proposed design requires only number of scroll as input and can realize chaotic PWL signal with a fewer number of FPGA resources. In the implementation stage of the study, the discrete mathematical equations of the chaotic attractor is modelled in Xilinx System Generator (XSG) platform and realized by using Xilinx Kintex-7 KC705 Evaluation Board.
Anahtar Kelimeler
Kaynakça
- [1] Strogatz, S. H., Herbert, D. E., “Nonlinear dynamics and chaos”, Medical Physics-New York-Institute of Physics, Vol. 23(6), pp. 993-995, 1996.
- [2] Lorenz, E.N., “Deterministic Nonperiodic Flow”, Journal of the Atmospheric Sciences, Vol. 20; pp. 130-141, 1963.
- [3] Hilborn, R.C., Chaos and Nonlinear Dynamics: An Introduction for Scientists and Engineers, Oxford University Press, 1994.
- [4] Li, C., Sprott, J.C., Thio, W., “Linearization of the Lorenz system”, Physics Letters A, Vol. 379 (10); pp. 888-893, 2015.
- [5] Chua, L.O., “The genesis of Chua’s circuit”, Archiv fur Elektronik and Ubertragungstechnik, Vol. 46(4), pp. 250-257, 1992.
- [6] Zhong, G., Man, K., Chen, G., “A systematic approach to generating n-scroll attractors”, International Journal of Bifurcation and Chaos, Vol. 12(12), pp. 2907-2915, 2002.
- [7] Tlelo-Cuautle, E., Rangel-Magdaleno, J.J., Pano-Azucena, A.D., Obeso-Rodelo, P.J., Nuñez-Perez, J.C., “FPGA realization of multi-scroll chaotic oscillators”, Communications in Nonlinear Science and Numerical Simulation, Vol. 27 (1), pp. 66-80, 2015.
- [8] Genesio, R., Tesi, A., “Distorsion control of chaotic systems: the chua's circuit in R. N. Madan (ed.), Chua's circuit: a paradigm for chaos”, World Scientific Series on Nonlinear Sciences Series B, Vol. 1, pp. 514-534, 1993.
Ayrıntılar
Birincil Dil
İngilizce
Konular
Elektrik Mühendisliği
Bölüm
Araştırma Makalesi
Yayımlanma Tarihi
30 Aralık 2020
Gönderilme Tarihi
13 Ocak 2020
Kabul Tarihi
4 Kasım 2020
Yayımlandığı Sayı
Yıl 2020 Cilt: 10 Sayı: 2
APA
Karakaya, B., Çulcu, F., & Türk, M. (2020). DIGITALLY PROGRAMMABLE MULTI-SCROLL CHAOS GENERATOR ON FPGA. European Journal of Technique (EJT), 10(2), 207-216. https://doi.org/10.36222/ejt.674358
AMA
1.Karakaya B, Çulcu F, Türk M. DIGITALLY PROGRAMMABLE MULTI-SCROLL CHAOS GENERATOR ON FPGA. EJT. 2020;10(2):207-216. doi:10.36222/ejt.674358
Chicago
Karakaya, Barış, Fatma Çulcu, ve Mustafa Türk. 2020. “DIGITALLY PROGRAMMABLE MULTI-SCROLL CHAOS GENERATOR ON FPGA”. European Journal of Technique (EJT) 10 (2): 207-16. https://doi.org/10.36222/ejt.674358.
EndNote
Karakaya B, Çulcu F, Türk M (01 Aralık 2020) DIGITALLY PROGRAMMABLE MULTI-SCROLL CHAOS GENERATOR ON FPGA. European Journal of Technique (EJT) 10 2 207–216.
IEEE
[1]B. Karakaya, F. Çulcu, ve M. Türk, “DIGITALLY PROGRAMMABLE MULTI-SCROLL CHAOS GENERATOR ON FPGA”, EJT, c. 10, sy 2, ss. 207–216, Ara. 2020, doi: 10.36222/ejt.674358.
ISNAD
Karakaya, Barış - Çulcu, Fatma - Türk, Mustafa. “DIGITALLY PROGRAMMABLE MULTI-SCROLL CHAOS GENERATOR ON FPGA”. European Journal of Technique (EJT) 10/2 (01 Aralık 2020): 207-216. https://doi.org/10.36222/ejt.674358.
JAMA
1.Karakaya B, Çulcu F, Türk M. DIGITALLY PROGRAMMABLE MULTI-SCROLL CHAOS GENERATOR ON FPGA. EJT. 2020;10:207–216.
MLA
Karakaya, Barış, vd. “DIGITALLY PROGRAMMABLE MULTI-SCROLL CHAOS GENERATOR ON FPGA”. European Journal of Technique (EJT), c. 10, sy 2, Aralık 2020, ss. 207-16, doi:10.36222/ejt.674358.
Vancouver
1.Barış Karakaya, Fatma Çulcu, Mustafa Türk. DIGITALLY PROGRAMMABLE MULTI-SCROLL CHAOS GENERATOR ON FPGA. EJT. 01 Aralık 2020;10(2):207-16. doi:10.36222/ejt.674358