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

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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. Applied Nonlinear Dynamics, 2012, vol. 20, iss. 5, pp. 3-13. DOI: 10.18500/0869-6632-2012-20-5-3-13

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Language: 
Russian
Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Article type: 
Article
UDC: 
530.182, 537.86
DOI: 
10.18500/0869-6632-2012-20-5-3-13

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 self-sustained oscillatory medium near the oscillation threshold is studied. The chain of the identical quasi-harmonic self-sustained 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 spatially-nonhomogenous noise. 

Key words: 
Self-oscillatory medium
quasi-harmonic approximation
stochastic bifurcation
noise influence
Reference: 
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Received: 
08.02.2012
Accepted: 
05.09.2012
Published: 
31.01.2013
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