Wavelet analysis of II and III type intermittency

V. V. Afonin ; T. K. Boletskaya

Russian journal of nonlinear dynamics, Tome 7 (2011) no. 3, pp. 427-436.

Résumé

The investigation of II and III type intermittency in dynamical systems described by discrete maps using wavelet analysis in the presence and the absence of noise is carried out.

Détail

Keywords: intermittency, wavelet analysis.

Bibliographie

[1] Pomeau Y., Manneville P., “Intermittent transition to turbulence in dissipative dynamical systems”, Comm. Math. Phys., 74 (1980), 189–197 | DOI | MR

[2] Lahiri A., Nag T., “Intermittency in inverted-pitchfork bifurcations of dissipative and conservative maps”, Phys. Rev. Lett., 62:17 (1989), 1933–1936 | DOI | MR

[3] Laugesen J., Mosekilde E., Bountis E., Kuznetsov S. P., “Type-II intermittency in a class of two coupled one-dimensional maps”, Discrete Dyn. Nat. Soc., 5 (2000), 233–245 | DOI | Zbl

[4] Kim C.-M., Yim G.-S., Kim Y. S., Kim J.-M., Lee H. W., “Experimental evidence of characteristic relations of type-I intermittency in an electronic circuit”, Phys. Rev. E, 56:3 (1997), 2573–2577 | DOI

[5] Cavalcante H. L. D. de S., Rios Leite J. R., “Averages and critical exponents in type-III intermittent chaos”, Phys. Rev. E, 66 (2002), 026210, 5 pp. | DOI

[6] Baptista M. S., Caldas I. L., “Type-II intermittency in the driven double scroll circuit”, Phys. D, 132 (1999), 325–338 | DOI | Zbl

[7] Bergé P., Dubois M., Manneville P., Pomeau Y., “Intermittency in Rayleigh–Bénard convection”, J. Physique Lett., 41:15 (1980), L341–L345 | DOI

[8] Ringuet E., Rozé C., Gouesbet G., “Experimental observation of type-II intermittency in a hydrodynamic system”, Phys. Rev. E, 47:2 (1993), 1405–1407 | DOI

[9] Dubois M., Rubio M. A., Berge P., “Experimental evidence of intermittencies associated with a subharmonic bifurcation”, Phys. Rev. Lett., 51:16 (1983), 1446–1449 | DOI | MR

[10] Koronovskii A. A., Khramov A. E., Nepreryvnyi veivletnyi analiz i ego prilozheniya, Fizmatlit, M., 2003, 176 pp.

[11] Astafeva N. M., “Veivlet-analiz: osnovy teorii i primery primeneniya”, UFN, 166:11 (1996), 1145–1170

[12] Figliola A., Schuschny A., “Time and frequency study of intermittency”, Chaos Solitons Fractals, 6 (1995), 131–135 | DOI | Zbl

[13] Koronovskii A. A., Minyukhin I. M., Tyschenko A. A., Khramov A. E., Midzyanovckaya I. S., Sitnikova E. Yu., van Luijtelaar G., van Rijn C. M., “Primenenie nepreryvnogo veivlet-preobrazovaniya dlya analiza peremezhayuschegosya povedeniya”, Izv. vuzov. PND, 15:4 (2007), 34–54

[14] Hirsh J. E., “Theory of intermittency”, Phys. Rev. A, 25:1 (1982), 519–532 | DOI

[15] Kye W.-H., Rim S., Kim C.-M., Lee J.-H., Ryu J.-W., Yeom B.-S., Park Y.-J., “Experimental observation of characteristic relations of type-III intermittency in the presence of noise in a simple electronic circuit”, Phys. Rev. E, 68 (2003), 036203, 5 pp. | DOI

[16] Koronovskii A. A., Hramov A. E., “Type-II intermittency characteristics in the presence of noise”, Eur. Phys. J. B Condens. Matter Phys., 62 (2008), 447–452