Flicker noise in free fall cylinders in air

K. A. Rybkin

Russian journal of nonlinear dynamics, Tome 8 (2012) no. 3, pp. 629-639.

Résumé

The results of experiments on the free gravitational drift of light cylindrical bodies in the air. Based on the reconstruction of the dynamics of the time series with the construction of phase portraits in Takkensaspace, computing the spectrum of Lyapunov and Kolmogorov–Sinai entropy defined type of dynamics taking place processes and its basic parameters. The connection between the observed in experiments flicker noise hereditary process.

Détail

Keywords: drift bodies, flicker noise, the spectrum of Lyapunov.

Bibliographie

[1] Klimontovich Yu. L., “Vvedenie v fiziku otkrytykh sistem”, Sorosovskii obrazovatelnyi zhurnal, 1996, no. 8, 109–116

[2] Jin Ch., Xu K., “Numerical study of the unsteady aerodynamics of freely falling plates”, Commun. Comput. Phys., 3:4 (2008), 834–851 | MR

[3] Field S. B., Klaus M., Moore M. G., Nori F., “Chaotic dynamics of falling disks”, Nature, 388 (1997), 252–254 | DOI

[4] Anischenko V. S., Vadivasova T. E., Okrokvertskhov G. A., Strelkova G. I., “Statisticheskie svoistva dinamicheskogo khaosa”, UFN, 175:2 (2005), 163–179 | DOI

[5] Klimontovich Yu. L., Turbulentnoe dvizhenie i struktura khaosa: Novyi podkhod k statisticheskoi teorii otkrytykh sistem, 2-e izd., KomKniga, M., 2007, 328 pp.

[6] Skokov V. N., Seleznev V. V., Vvedenie v fiziku neravnovesnykh protsessov, UGTI–UPI, Ekaterinburg, 2008, 232 pp.

[7] Landau L. D., Lifshits E. M., Teoreticheskaya fizika, V 10 tt., v. 6, Gidrodinamika, 3-e izd., pererab., Nauka, M., 1986, 736 pp.

[8] Khaken G., Sinergetika, Mir, M., 1989, 272 pp. | MR

[9] Gershuni G. Z., Zhukhovitskii E. M., Konvektivnaya ustoichivost neszhimaemoi zhidkosti, Nauka, M., 1972, 392 pp.

[10] Prigozhin I., Ot suschestvuyuschego k voznikayuschemu, Nauka, M., 1985, 328 pp.

[11] Uchaikin V. V., Metod drobnykh proizvodnykh, Artishok, Ulyanovsk, 2008, 512 pp.

[12] Korn G., Korn T., Spravochnik po matematike: Dlya nauchnykh rabotnikov i inzhenerov, Nauka, M., 1978, 832 pp. | MR

[13] Mandelbrot B. B., Fraktalnaya geometriya prirody, Institut kompyuternykh issledovanii, M.–Izhevsk, 2002, 656 pp.

[14] Lukyanov G. N., “Identifikatsiya parametrov khaoticheskikh protsessov v eksperimentalnykh issledovaniyakh”, Vestnik Akademii tekhnicheskogo tvorchestva, 1998, no. 2, 13–49

[15] Takens F., “Detecting strange attractors in turbulence”, Dynamical Systems and Turbulence, Proc. of the Symposium held at the University of Warwick, Coventry, 1979–1980 (Warwick, 1980), Lect. Notes Math., 898, eds. D. A. Rand, L. S. Young, Springer, Berlin, 1981, 366–381 | DOI | MR

[16] Grassberger P., Procaccia I., “Measuring the strangeness of strange attractors”, Phys. D, 9 (1983), 189–208 | DOI | MR | Zbl

[17] Golovko V. A., “Neirosetevye metody obrabotki khaoticheskikh protsessov”, Neiroinformatika–2005, VII Vseross. nauchno-tekhnich. konf., Lektsii po neiroinformatike, MIFI, M., 2005, 214 pp.

[18] Koverda V. P., Skokov V. N., Skripov V. P., “$1/f$-shum v kriticheskom neravnovesnom fazovom perekhode”, Pisma v ZhETF, 63:9 (1996), 739–742

[19] Koverda V. P., Skokov V. N., Skripov V. P., “$1/f$-shum pri neravnovesnom fazovom perekhode”, ZhETF, 113:5 (1998), 1748–1753

[20] Bak P., Chen K., “Samoorganizovannaya kritichnost”, V mire nauki, 1991, no. 3, 16–24

[21] Rabinovich M. I., Suschik M. M., “Regulyarnaya i khaoticheskaya dinamika struktur v techeniyakh zhidkosti”, UFN, 160:1 (1990), 3–64 | DOI | MR

[22] Delev V. A., Skaldin O. A., Batyrshin E. S., Akselrod E. G., “Khaoticheskaya dinamika v sisteme elektrokonvektsii nematicheskogo zhidkogo kristalla”, ZhTF, 81:1 (2011), 11–18

[23] Magomedbekov U. G., Gasanova Kh. M., Gasangadzhieva U. G., Abdulkhamidov K. A., Mutsalova S. Sh., “Khimicheskie neustoichivosti pri okislenii $1,4$-naftodiola v gomogennoi srede. 1: Determinirovannyi kharakter protsessa okisleniya $1,4$-naftodiola i ego kolichestvennye parametry”, Vestn. Mosk. un-ta. Ser. 2. Khimiya, 48:3, 212–216

[24] Maiorov O. Yu., Fenchenko V. N., “Povyshenie nadezhnosti issledovanii determinirovannogo khaosa v bioelektricheskoi aktivnosti (EEG, EKG i variabelnosti serdechnogo ritma) metodami nelineinogo analiza”, Klinicheskaya informatika i telemeditsina, 5:6 (2009), 10–17

[25] Benettin G., Galgani L., Strelcyn J. M., “Kolmogorov entropy and numerical experiments”, Phys. Rev. A, 14 (1976), 2338–2345 | DOI