@article{ZVMMF_2000_40_5_a3,
author = {S. A. Kashchenko},
title = {Bifurcations in the neighborhood of a cycle under small perturbations with a large delay},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {693--702},
year = {2000},
volume = {40},
number = {5},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2000_40_5_a3/}
}
TY - JOUR AU - S. A. Kashchenko TI - Bifurcations in the neighborhood of a cycle under small perturbations with a large delay JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2000 SP - 693 EP - 702 VL - 40 IS - 5 UR - http://geodesic.mathdoc.fr/item/ZVMMF_2000_40_5_a3/ LA - ru ID - ZVMMF_2000_40_5_a3 ER -
%0 Journal Article %A S. A. Kashchenko %T Bifurcations in the neighborhood of a cycle under small perturbations with a large delay %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2000 %P 693-702 %V 40 %N 5 %U http://geodesic.mathdoc.fr/item/ZVMMF_2000_40_5_a3/ %G ru %F ZVMMF_2000_40_5_a3
S. A. Kashchenko. Bifurcations in the neighborhood of a cycle under small perturbations with a large delay. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 40 (2000) no. 5, pp. 693-702. http://geodesic.mathdoc.fr/item/ZVMMF_2000_40_5_a3/
[1] Grigorieva E. V., Kaschenko S. A., “Regular and chaotic pulsations in lazer diode with delayed feedback”, Bifurcations and Chaos, 3:6 (1993) | Zbl
[2] Grigoreva E. B., Kaschenko S. A., “Ustanovivshiesya avtokolebaniya v lazerakh s zapazdyvayuschei obratnoi svyazyu”, Zh. eksperim. i teor. fiz., 106:1(7) (1994)
[3] Dmitriev A. S., Kislov V. Ya., Stokhasticheskie kolebaniya v radiofizike i elektronike, Nauka, M., 1989 | MR | Zbl
[4] Dmitriev A. S., Kaschenko S. A., “Asimptotika neregulyarnykh kolebanii v mode avtogeneratora s zapazdyvayuschei obratnoi svyazyu”, Dokl. RAN, 328:2 (1993), 157–161 | MR
[5] Kilias T., Kutzer K., Moegel A., Schwarz W., “Electronic chaos generators – design and applications”, Internal. J. Electronics, 79:6 (1995), 737–753 | DOI
[6] Moegel A., Schwarz W., Kaschenko S., “Analysis and simulation principles for chaotic systems containing delay elements”, NDES'96, Seville, Spain, 1996, 147–151
[7] Marsden Dzh., Mak-Kraken M., Bifurkatsiya rozhdeniya tsikla i ee prilozheniya, Mir, M., 1980 | MR | Zbl
[8] Kheil Dzh., Teoriya funktsionalno-differentsialnykh uravnenii, Nauka, M., 1984 | MR
[9] Sacker R. I., On invariant surfaces and bifurcation of periodic solutions of ordinary differential equations, Rept/New York Univ. IMM-NYU, 333, 1964, 717–732 | MR
[10] Arnold V. I., Dopolnitelnye glavy teorii obyknovennykh differentsialnykh uravnenii, Nauka, M., 1978 | MR
[11] Bryuno A. D., Lokalnyi metod nelineinogo analiza differentsialnykh uravnenii, Nauka, M., 1979 | MR
[12] Stokes A., “On the approximation of nonlinear oscillation”, Tr. V Mezhdunar. konf. po nelineinym kolebaniyam, v. 2, Nauk. dumka, Kiev, 1970, 480–491
[13] Kolesov Yu. S., “Obzor po teorii ustoichivosti reshenii differentsialno-raznostnykh uravnenii s pochti periodicheskimi koeffitsientami”, Issl. po ustoichivosti i teorii kolebanii, YarGU, Yaroslavl, 1977, 82–142 | MR
[14] Kaschenko S. A., “O kvazinormalnykh formakh dlya parabolicheskikh uravnenii s maloi diffuziei”, Dokl. AN SSSR, 299:5 (1988)
[15] Kaschenko S. A., “Postroenie normalizovannykh sistem dlya issledovaniya dinamiki gibridnykh i giperbolicheskikh uravnenii”, Zh. vychisl. matem. i matem. fiz., 34:4 (1994), 564–575 | MR
[16] Kaschenko S. A., “Normalization in the systems with small diffusion”, Internat. J. Bifurcations and Chaos, 6:7 (1996) | MR | Zbl
[17] Grigorieva E. V., Haken H., Kaschenko S. A., “Complexity near equilibrium in model of lasers with delayed optoelectronic feed-back”, Proc. Intemat. Simp. “Nonlinear Theory and its Appl.” (Crans-Montana, Switzerland. September 14–17, 1998), 495–498