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

For citation:

Chetverikov A. P., Frolova N. B. Dynamics of interaction of linear wave and a wave with inertial nonlinearity under influence of noise. Izvestiya VUZ. Applied Nonlinear Dynamics, 2006, vol. 14, iss. 1, pp. 82-97. DOI: 10.18500/0869-6632-2006-14-1-82-97

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Language: 
Russian
Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Article type: 
Article
UDC: 
621.385
DOI: 
10.18500/0869-6632-2006-14-1-82-97

Dynamics of interaction of linear wave and a wave with inertial nonlinearity under influence of noise

Autors: 
Chetverikov Aleksandr Petrovich, Saratov State University
Frolova Natalja Borisovna, Saratov State University
Abstract: 

The results of numerical simulation of oscillations in a simple model of interaction of waves with inertial nonlinearity applicable to study of phenomena in a backward wave oscillator are produced. Convenient numerical characteristics for identification of anharmonic oscillations – a decrement of the autocorrelation function and the characteristic correlation time – have been used. It has been found that both sophistication and ordering of an excited signal were possible under influence of additive noise. The dependence of a critical value of noise intensity at which disintegration of autonomous dynamics of the system on the nonequilibrium parameter of a system has been determined. 

Key words: 
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Reference: 
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Received: 
23.05.2005
Accepted: 
23.05.2005
Published: 
28.04.2006
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