Programmable design and implementation of a chaotic system utilizing multiple nonlinear functions

KILIÇ, Recai; DALKIRAN, Fatma Yıldırım

Programmable design and implementation of a chaotic system utilizing multiple nonlinear functions

Recai KILIÇ, (Erciyes Üniversitesi, Kayseri, Türkiye)

Fatma Yıldırım DALKIRAN (Erciyes Üniversitesi, Kayseri, Türkiye)

Turkish Journal of Electrical Engineering and Computer Sciences

3 0

Yıl: 2010 Cilt: 18 Sayı: 4 Sayfa Aralığı: 647 - 655 Metin Dili: İngilizce İndeks Tarihi: 29-07-2022

Programmable design and implementation of a chaotic system utilizing multiple nonlinear functions

Öz:

In addition to exhibiting a rich variety of bifurcation and chaos via tuning parameters, a chaotic system introduced by Sprott can be modeled and realized with a fixed main system block and many different changeable nonlinear function blocks such as piecewise-linear function, cubic function and other trigonometric functions. This system is very suitable for implementing a programmable chaos generator according to its changeable nonlinearity. This paper presents a FPAA (Field Programmable Analog Array)-based programmable implementation of this system. Nonlinear function blocks used in this chaotic system are modeled with FPAA programming and a model is rapidly changed for realizing other nonlinear functions.

Anahtar Kelime:

Konular: Mühendislik, Elektrik ve Elektronik

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

[1] Anadigm:www.anadigm.com
[2] R. Caponetto, A.D. Mauro, L.Fortuna, and M.Frasca, “Field programmable analog array to implement a programmable Chua’s circuit,” Int.Journal of Bifurcation and Chaos., vol.15, pp.1829–1836, 2005.
[3] S. Callegari, R. Rovatti and G. Setti, “First direct implementation of a true random source on programmable hardware”, Int. J. Circ. Theor. Appl., vol.33,pp.1–16, 2005.
[4] F.T. Arecchi, L. Fortuna and M. Frasca, “A programmable electronic circuit for modeling CO2 laser dynamics”, Chaos, vol.15, (043104), 2005.
[5] P. Arena, A.Buscarino, L. Fortuna and M. Frasca, “Separation and sysnchronization of piecewise linear chaotic systems”, Phys. Rev., vol.E74, (026212), 2006.
[6] M. Hulub, M. Frasca, L. Fortuna and P. Arena, “Implementation and synchronization of 3×3 grid scroll chaotic circuits with analog programmable devices”, Chaos, vol.16, (013121), 2006.
[7] M. Drutarovsky, P. Galajda, “Chaos-based true random number generator embedded in a mixed-signal reconfigurable hardware”, J. of Electrical Engineering, vol. 57, (4), pp.218-225, 2006.
[8] C. Twigg, P. Hasler, “Configurable analog signal processing”, Digital Signal Processing, (2007), doi:10.1016/j.dsp.2007.09.013.
[9] A.Buscarino, L. Fortuna and M. Frasca, “Experimental separation of chaotic signals through synchronization”, Phil. Trans. R. Soc.A., vol.366,. pp. 569-577, 2008.
[10] N. Fragoulis, G.Souliotis, D. Besiris and K. Giannakopoulos, “Field-programmable analogue array design based the wave active fitler design method”, AE¨U - International Journal of Electronics and Communications, (2008), doi:10.1016/j.aeue.2008.06.014.
[11] J.C. Sprott, “A New Class of Chaotic Circuit”, Physics Letters A, vol.266, pp. 19-23, 2000
[12] J.C. Sprott, “Simple chaotic systems and circuits”, Am. J. Phys, vol.68, pp. 758-763, 2000.
[13] E-W. Bai, K. E. Lonngren and J.C. Sprott, “On the synchronization of a class of electronic circuits that exhibit chaos”, Chaos, Solitons &Fractals, vol.13, (7), pp. 1515-1521, 2002.
[14] W.M. Ahmad and J.C. Sprott, “Chaos in fractional-order autonomous nonlinear systems”, Chaos, Solitons &Fractals, vol.16, (2), pp. 339-351, 2003.
[15] K.E. Chlouverakis and J.C. Sprott, “Chaotic hyperjerk systems”, Chaos, Solitons&Fractals, vol.28, (3), pp. 739-746, 2006.
[16] Pico Technology Limited:www.picotech.com

APA	KILIÇ R, DALKIRAN F (2010). Programmable design and implementation of a chaotic system utilizing multiple nonlinear functions. , 647 - 655.
Chicago	KILIÇ Recai,DALKIRAN Fatma Yıldırım Programmable design and implementation of a chaotic system utilizing multiple nonlinear functions. (2010): 647 - 655.
MLA	KILIÇ Recai,DALKIRAN Fatma Yıldırım Programmable design and implementation of a chaotic system utilizing multiple nonlinear functions. , 2010, ss.647 - 655.
AMA	KILIÇ R,DALKIRAN F Programmable design and implementation of a chaotic system utilizing multiple nonlinear functions. . 2010; 647 - 655.
Vancouver	KILIÇ R,DALKIRAN F Programmable design and implementation of a chaotic system utilizing multiple nonlinear functions. . 2010; 647 - 655.
IEEE	KILIÇ R,DALKIRAN F "Programmable design and implementation of a chaotic system utilizing multiple nonlinear functions." , ss.647 - 655, 2010.
ISNAD	KILIÇ, Recai - DALKIRAN, Fatma Yıldırım. "Programmable design and implementation of a chaotic system utilizing multiple nonlinear functions". (2010), 647-655.

APA	KILIÇ R, DALKIRAN F (2010). Programmable design and implementation of a chaotic system utilizing multiple nonlinear functions. Turkish Journal of Electrical Engineering and Computer Sciences, 18(4), 647 - 655.
Chicago	KILIÇ Recai,DALKIRAN Fatma Yıldırım Programmable design and implementation of a chaotic system utilizing multiple nonlinear functions. Turkish Journal of Electrical Engineering and Computer Sciences 18, no.4 (2010): 647 - 655.
MLA	KILIÇ Recai,DALKIRAN Fatma Yıldırım Programmable design and implementation of a chaotic system utilizing multiple nonlinear functions. Turkish Journal of Electrical Engineering and Computer Sciences, vol.18, no.4, 2010, ss.647 - 655.
AMA	KILIÇ R,DALKIRAN F Programmable design and implementation of a chaotic system utilizing multiple nonlinear functions. Turkish Journal of Electrical Engineering and Computer Sciences. 2010; 18(4): 647 - 655.
Vancouver	KILIÇ R,DALKIRAN F Programmable design and implementation of a chaotic system utilizing multiple nonlinear functions. Turkish Journal of Electrical Engineering and Computer Sciences. 2010; 18(4): 647 - 655.
IEEE	KILIÇ R,DALKIRAN F "Programmable design and implementation of a chaotic system utilizing multiple nonlinear functions." Turkish Journal of Electrical Engineering and Computer Sciences, 18, ss.647 - 655, 2010.
ISNAD	KILIÇ, Recai - DALKIRAN, Fatma Yıldırım. "Programmable design and implementation of a chaotic system utilizing multiple nonlinear functions". Turkish Journal of Electrical Engineering and Computer Sciences 18/4 (2010), 647-655.