Voir la notice de l'article provenant de la source Math-Net.Ru
@article{ND_2010_6_2_a3, author = {S. Koblyanskiy and A. Shabunin and V. Astakhov}, title = {Forced synchronization of periodic oscillations in a system with phase multistability}, journal = {Russian journal of nonlinear dynamics}, pages = {277--289}, publisher = {mathdoc}, volume = {6}, number = {2}, year = {2010}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/ND_2010_6_2_a3/} }
TY - JOUR AU - S. Koblyanskiy AU - A. Shabunin AU - V. Astakhov TI - Forced synchronization of periodic oscillations in a system with phase multistability JO - Russian journal of nonlinear dynamics PY - 2010 SP - 277 EP - 289 VL - 6 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ND_2010_6_2_a3/ LA - ru ID - ND_2010_6_2_a3 ER -
%0 Journal Article %A S. Koblyanskiy %A A. Shabunin %A V. Astakhov %T Forced synchronization of periodic oscillations in a system with phase multistability %J Russian journal of nonlinear dynamics %D 2010 %P 277-289 %V 6 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/ND_2010_6_2_a3/ %G ru %F ND_2010_6_2_a3
S. Koblyanskiy; A. Shabunin; V. Astakhov. Forced synchronization of periodic oscillations in a system with phase multistability. Russian journal of nonlinear dynamics, Tome 6 (2010) no. 2, pp. 277-289. http://geodesic.mathdoc.fr/item/ND_2010_6_2_a3/
[1] Appleton E. V., “The automatic synchronization of triode oscillator”, Proc. Cambridge Phil. Soc., 21 (1922), 231–248
[2] Van der Pol B., “Forced oscillations in a circuit with non-linear resistance”, Phil. Mag., 3 (1927), 64–80
[3] Andronov A. A., Vitt A. A., “K matematicheskoi teorii zakhvatyvaniya”, Zhurn. prikl. fiziki, 7:4 (1930), 3–20 | Zbl
[4] Andronov A. A., Vitt A. A., Sobranie trudov, AN SSSR, M., 1930, 70–84
[5] Arnold V. I., Dopolnitelnye glavy teorii obyknovennykh differentsialnykh uravnenii, Nauka, M., 1978, 304 pp.
[6] Blekhman I. I., Sinkhronizatsiya dinamicheskikh sistem, Nauka, M., 1971, 896 pp.
[7] Demyanchenko A. G., Sinkhronizatsiya generatorov garmonicheskikh kolebanii, Energiya, M., 1976, 240 pp.
[8] Blekhman I. I., Sinkhronizatsiya v prirode i tekhnike, Nauka, M., 1981, 352 pp.
[9] Blekhman I. I., Landa P. S., Rosenblum M. G., “Synchronization and chaotization in interacting dynamical systems”, Appl. Mech. Rev., 11:1 (1995), 733–752 | DOI
[10] Anischenko V. S., Vadivasova T. E., “Sinkhronizatsiya avtokolebanii i kolebanii, indutsirovannykh shumom”, Radiotekhnika i elektronika, 47 (2002), 133–165
[11] Pikovskii A., Rozenblyum M., Kurts Yu., Sinkhronizatsiya: Fundamentalnoe nelineinoe yavlenie, Tekhnosfera, M., 2003, 496 pp.
[12] Pisarchik A. N., Jaimes-Reátegui R., Villalobos-Salazar J. R., García-López J. H., and Boccaletti S., “Synchronization of chaotic systems with coexisting attractors”, Phys. Rev. Lett., 96 (2006), 244102, 4 pp. | DOI
[13] Astakhov V. V., Bezruchko B. P., Erastova E. N., Seleznev E. P., “Formy kolebanii i ikh evolyutsiya v dissipativno svyazannykh feigenbaumovskikh sistemakh”, ZhTF, 60:10 (1990), 19–26
[14] Astakhov V. V., Bezruchko B. P., Gulyaev Yu. P., Seleznev E. P., “Multistabilnye sostoyaniya v dissipativno svyazannykh feigenbaumovskikh sistemakh”, Pisma v ZhTF, 15:3 (1989), 60–65 | MR
[15] Astakhov V. V., Bezruchko B. P., Ponomarenko V. I., “Formirovanie multistabilnosti, klassifikatsiya izomerov i ikh evolyutsiya v svyazannykh feigenbaumovskikh sistemakh”, Izvestiya VUZov. Radiofizika, 34:1 (1991), 35–38 | Zbl
[16] Anischenko V. S., Slozhnye kolebaniya v prostykh sistemakh, Nauka, M., 1990, 312 pp.
[17] Astakhov V., Shabunin A., Uhm W., Kim S., “Multistability formation and synchronization loss in coupled Hénon maps: Two sides of the single bifurcational mechanism”, Phys. Rev. E, 63 (2001), 056212, 9 pp. | DOI
[18] AUTO: Software for continuation and bifurcation problems in ordinary differention equations, http://cmvl.cs.concordia.ca/auto/