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@article{MZM_2000_68_6_a6, author = {G. L. Kulinich and Yu. V. Berhackaya}, title = {On the {Phase} {Portrait} of a {Harmonic} {Oscillator} with {Friction} {Perturbed} by a {Random} {Process} of {White} {Noise} {Type}}, journal = {Matemati\v{c}eskie zametki}, pages = {862--869}, publisher = {mathdoc}, volume = {68}, number = {6}, year = {2000}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/MZM_2000_68_6_a6/} }
TY - JOUR AU - G. L. Kulinich AU - Yu. V. Berhackaya TI - On the Phase Portrait of a Harmonic Oscillator with Friction Perturbed by a Random Process of White Noise Type JO - Matematičeskie zametki PY - 2000 SP - 862 EP - 869 VL - 68 IS - 6 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/MZM_2000_68_6_a6/ LA - ru ID - MZM_2000_68_6_a6 ER -
%0 Journal Article %A G. L. Kulinich %A Yu. V. Berhackaya %T On the Phase Portrait of a Harmonic Oscillator with Friction Perturbed by a Random Process of White Noise Type %J Matematičeskie zametki %D 2000 %P 862-869 %V 68 %N 6 %I mathdoc %U http://geodesic.mathdoc.fr/item/MZM_2000_68_6_a6/ %G ru %F MZM_2000_68_6_a6
G. L. Kulinich; Yu. V. Berhackaya. On the Phase Portrait of a Harmonic Oscillator with Friction Perturbed by a Random Process of White Noise Type. Matematičeskie zametki, Tome 68 (2000) no. 6, pp. 862-869. http://geodesic.mathdoc.fr/item/MZM_2000_68_6_a6/
[1] Andronov A. A., Vit A. A., Khaikin S. E., Teoriya kolebanii, Nauka, M., 1981 | Zbl
[2] Kulinich G. L., “Yakisnii analiz vplivu na garmonichnii ostsilyator z tertyam vipadkovikh zburen tipu “bilogo shumu” vzdovzh vektora fazovoi shvidkosti”, Ukr. matem. zh., 49:1 (1997), 36–47 | MR
[3] Kulinich G. L., “Qualitative analysis of the influence of random perturbations on the phase velocity of the harmonic oscillator”, Random Oper. and Stoch. Equation, 3:2 (1995), 141–152 | MR | Zbl
[4] Skorokhod A. V., Asimptoticheskie metody teorii stokhasticheskikh differentsialnykh uravnenii, Naukova dumka, Kiev, 1987 | Zbl
[5] Gikhman I. I., Skorokhod A. I., Teoriya sluchainykh protsessov, T. III, Nauka, M., 1975
[6] Khasminskii R. Z., Ustoichivost sistem differentsialnykh uravnenii pri sluchainykh vozmuscheniyakh ikh parametrov, Nauka, M., 1969
[7] Stratonovich R. L., Izbrannye voprosy teorii fluktuatsii v radiotekhnike, Sovetskoe radio, M., 1961 | Zbl
[8] Kulinich G. L., “On the limiting behaviour of a harmonic oscillator with random external disturbance”, J. Amer. Math. Soc., 8:3 (1995), 265–274 | MR | Zbl
[9] Gikhman I. I., Skorokhod A. V., Stokhasticheskie differentsialnye uravneniya, Naukova dumka, Kiev, 1968 | Zbl
[10] Babchuk V. G., Kulinich G. L., “Reshenie odnogo klassa lineinoi sistemy stokhasticheskikh differentsialnykh uravnenii Ito vtorogo poryadka s odnim vinerovskim protsessom”, Teoriya veroyatn. i ee primen., 23:2 (1978), 457–458