Abstract
In the present paper the mathematical model, introduced by Crutchfield [1], for video feedback performance is outlined. The two dynamical fractals observed in our video feedback experiment have been described. The first one shows the five-fold symmetry. Its spatial form relates well to the one which was simulated numerically by Andersen [2]. The second one consists of black strips with dislocations and rotates with the velocity of 0.2 1/s-1. The spatial form looks like a modern picture and its spatial time evolution correlates well with Chopin music.
References
James P. Crutchfield, Space-time dynamics in video feedback, Physica I’0D (1984) 229-245.
Michael C. Andersen, Jesper Peterson, Simulation of videofeedback,(1996)
(http://web.archive.org/web/20120829103456/http://www.videofeedback.dk/vf/ss/sspost.html).
S.A .Collins, K. C. Wasmundt, Optical Feedback and bistability: a review, Opt. Eng.19 (1980) 478.
H.O.Peitgen, H. Jurgens, D. Saupe, Chaos and Fractals, Springer Verlag, N.Y.1992.
P. Bałuka, I. Mielniczek,V. Druz, J. Chabko, M. Kuzma, Optical Feedback. I Static Effects, Physics for Economy, vol.5/ 2023, pp. 71- 85.
A. M. Turing, The Chemical Basis of Morphogenesis, Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences, Vol. 237, No. 641. ( 1952), pp. 37-72.
Courtial, J., Leach, J., & Padgett, M. J. (2001). Fractals in pixellated video feedback. Nature, 414(6866), 864-864.
Ang K.H. , Chong, G.C.Y. , Li, Y. PID control system analysis, design, and technology. IEEE Transactions on Control Systems Technology 13(4), (2005) 559-576.
J. A. Whitehead, The propagation of dislocations in Rayleigh-Benard rolls and bimodal flow, J. Fluid Mech. (1976), vol. 15, part 4, pp. 715-720.
Abbas Alwi Sakhir Abed and Ahmed Abdel Kadhim Majhoo , Wave Convection Regimes in an Inclined Layer of Nano Fluid, Int.J. of Current Engineering and Technology Vol.5, No.1 (2015) 539-543.
C.Kittel, Introduction to Solid State Physics, John Wiley and Sons, N.Y.2018.
E. M. Kim, An Artistic Technique for Audio-to-Video Translation on Music Perception Study, Int.J. of Multimedia & Applicationsv.4 No3 (2012) 11-19.