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Shift of bifurcation point due to noise induced parameter. (English) Zbl 0964.37032
This paper is devoted to the influence of small stochastic perturbations on a nonlinear, nonconservative interacting system exhibiting Hopf bifurcation. The authors observed that due to the presence of parametric perturbation, the bifurcation point is shifted. The method is based on the technique of Markov diffusion approximation.

MSC:
37H20 Bifurcation theory for random and stochastic dynamical systems
37G15 Bifurcations of limit cycles and periodic orbits in dynamical systems
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