ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

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Semenov V. V. Experimental research of self-oscillation destruction under additive noise action. Izvestiya VUZ. Applied Nonlinear Dynamics, 2013, vol. 21, iss. 3, pp. 43-51. DOI: 10.18500/0869-6632-2013-21-3-43-51

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Language: 
Russian
Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Article type: 
Article
UDC: 
537.86/.87:530.182
DOI: 
10.18500/0869-6632-2013-21-3-43-51

Experimental research of self-oscillation destruction under additive noise action

Autors: 
Semenov V. V., Saratov State University
Abstract: 

Evolution of probabilistic distribution in self-sustained oscillators with increase of noise intensity is studied by means of numerical simulation and natural experiments. Two different systems are considered: van der Pol and Anishchenko–Astakhov self-sustained oscillators. Destruction of probabilistic distribution form, which is typical for noisy selfoscillation, by additive noise is showed.

Key words: 
Stochastic Andronov–Hopf bifurcation
influence of noise
Van der Pole selfsustained oscillator
Anishchenko–Astakhov self-sustained oscillator
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Received: 
13.03.2013
Accepted: 
18.04.2013
Published: 
31.10.2013
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