Calculation method of spectral-correlation characteristics of stochastic processes
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 6 (2010), pp. 139-145 Cet article a éte moissonné depuis la source Math-Net.Ru

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Calculation method of correlation function of stochastic process in the first order dynamical system with arbitrary sort potential of recovery force lying under action of periodic signal and white noise is offered in the article. Method is based on the decomposition of non-stationary Fokker–Plank equation solution in eigen functions of stationary operator and numerical solutions of matrix problem of eigen values and system of ordinary differential equations.
Keywords: non-linear stochastic system, correlation function, numerical analysis.
Mots-clés : Markovian process
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V. V. Zaytcev. Calculation method of spectral-correlation characteristics of stochastic processes. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 6 (2010), pp. 139-145. http://geodesic.mathdoc.fr/item/VSGU_2010_6_a14/

[1] Stratonovich R. L., Izbrannye voprosy teorii flyuktuatsii v radiotekhnike, Sov. radio, M., 1961, 558 pp. | Zbl

[2] Malakhov A. N., Fluktuatsii v avtokolebatelnykh sistemakh, Nauka, M., 1968, 660 pp.

[3] Rytov S. M., Vvedenie v statisticheskuyu radiofiziku. Chast I. Sluchainye protsessy, Nauka, M., 1976, 496 pp.

[4] Van Kampen N. G., Stokhasticheskie protsessy v fizike i khimii, Vysshaya shkola, M., 1990, 376 pp. | Zbl

[5] Malanin V. V., Poloskov I. E., Metody i praktika analiza sluchainykh protsessov v dinamicheskikh sistemakh, NITs “Regulyarnaya i khaoticheskaya dinamika”, M.–Izhevsk, 2005, 296 pp.

[6] Gardiner K. V., Stokhasticheskie metody v estestvennykh naukakh, Mir, M., 1986, 528 pp. | MR | Zbl

[7] Zaitsev V. V., “Ob odnom sposobe vychisleniya korrelyatsionnykh kharakteristik markovskikh sluchainykh protsessov”, Fizika volnovykh protsessov i radiotekhnicheskie sistemy, 9:4 (2006), 73–75

[8] Zaitsev V. V., “Metod rascheta funktsii korrelyatsii periodicheski nestatsionarnogo markovskogo protsessa v nelineinoi sisteme”, Fizika volnovykh protsessov i radiotekhnicheskie sistemy, 11:1 (2008), 11–13 | MR

[9] Dubkov A. A., Malakhov A. N., Saichev A. I., “Vremya korrelyatsii i struktura funktsii korrelyatsii nelineinogo ravnovesnogo brounovskogo dvizheniya v potentsialnykh yamakh proizvolnoi formy”, Izvestiya vuzov. Ser.: Radiofizika, 43:4 (2000), 369–382 | MR

[10] V. S. Anischenko i dr., “Stokhasticheskii rezonans kak indutsirovannyi shumom effekt uvelicheniya stepeni poryadka”, UFN, 169:1 (1999), 7–38 | DOI