ISSN 0869-6632 (Online)
ISSN 2542-1905 (Print)


Cite this article as:

Vadivasova T. E., Slepnev A. V. The studies of the arising of oscillations in the quasi­harmonic model of the self­sustained oscillatory medium under multiplicative noise excitation. Izvestiya VUZ, 2012, vol. 20, iss. 5, pp. 3-13. DOI: https://doi.org/10.18500/0869-6632-2012-20-5-3-13

Language: 
Russian

The studies of the arising of oscillations in the quasi­harmonic model of the self­sustained oscillatory medium under multiplicative noise excitation

Autors: 
Vadivasova Tatjana Evgenevna, Saratov State University
Slepnev Andrej Vjacheslavovich, Saratov State University
Abstract: 

The multiplicative noise influence on the self­sustained oscillatory medium near the oscillation threshold is studied. The chain of the identical quasi­harmonic self­sustained oscillators with the periodic boundary conditions is taken as a simplest model of the oscillatory medium. The parameters of the oscillators are modulated with the white Gaussian noise. The stochastic bifurcations are analyzed for the cases of homogenous and spatially­nonhomogenous noise.

DOI: 
10.18500/0869-6632-2012-20-5-3-13
References: 

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