论文信息 - Stochastic bifurcations for random forced oscillations

Stochastic bifurcations for random forced oscillations

Abstract An analysis of the classical Hopf differential system perturbed by multiplicative and additive noises is carried out. The difference in the response of Hopf systems perturbed by additive and multiplicative random noises is investigated. A delaying shift of the Hopf bifurcation point induced by multiplicative noise is demonstrated. The phenomenon of inverse stochastic bifurcation in which auto-oscillations are suppressed by multiplicative noise is clearly observed.

[1] Gabriele Bleckert,et al. The Stochastic Brusselator: Parametric Noise Destroys Hoft Bifurcation , 1999 .

[2] R. Lefever,et al. Sensitivity of a Hopf Bifurcation to External Multiplicative Noise , 1984 .

[3] Peter V. E. McClintock,et al. Changes in the dynamical behavior of nonlinear systems induced by noise , 2000 .

[4] H. Leung,et al. STOCHASTIC HOPF BIFURCATION IN A BIASED VAN DER POL MODEL , 1998 .

[5] K. Schenk-Hoppé,et al. Bifurcation scenarios of the noisy duffing-van der pol oscillator , 1996 .

[6] Werner Horsthemke,et al. Noise-induced transitions , 1984 .

[7] C. Gardiner. Handbook of Stochastic Methods , 1983 .