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