Vladimir Semenov
Astrahanskaya st. 83, Saratov, 410026, Russia
Saratov State University named after N. G. Chernyshevsky
Publications:
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Semenov V. V., Zakoretskii K. V., Vadivasova T. E.
Experimental investigation of stochastic Andronov–Hopf bifurcation in self-sustained oscillators with additive and parametric noise
2013, Vol. 9, No. 3, pp. 421-434
Abstract
Effects of noisy influence on oscillators near oscillation threshold are studied by means of numerical simulation and natural experiments. Two qualitative different models (Van derPol and Anishchenko—Astakhov self-sustained oscillators) are considered. Evolution laws of probabilistic distribution with increase of noise intensity are established for two cases: addition of additive and parametric white gaussian noise in researched systems. It is shown that the noise destroys the distribution form, which is typical for self-oscillations, that leads to shift of bifurcation to direction of excitation parameter increase. The existence of bifurcation interval, which corresponds with gradual transition to regime of self-oscillation, was detected from experiments with additive noise.
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