Chinese Journal of Theoretical and Applied Mechani ›› 1997, Vol. 29 ›› Issue (2): 158-166.DOI: 10.6052/0459-1879-1997-2-1995-211
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Abstract: With the aid of the stochastic averaging method,the theory of singular points of diffusion processes and the method of invariant measure, a Hopf bifurcation system in the presence of parametric real noises is studied. It is found that in this nonlinear stochastic system, due tothe presence of the parametric real noises, a change of the type of bifurcation takes place and two bifurcation points appear, which differ from the original Hopf bifurcation one.
Key words: real noise, parametric excitation, stochastic averaging method, diffusion process, singular boundary, invariant measure, stochastic bifurcation
,. ON THE HOPF BIFURCATION SYSTEM IN THE PRESENCE OF PARAMETRIC REAL NOISES[J]. Chinese Journal of Theoretical and Applied Mechani, 1997, 29(2): 158-166.
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URL: http://lxxb.cstam.org.cn/EN/10.6052/0459-1879-1997-2-1995-211
http://lxxb.cstam.org.cn/EN/Y1997/V29/I2/158