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

For citation:

Bashkirtseva I. A., Ryashko L. B. Quasipotential in sensitivity analysis оf the stochastically forced auto-oscillations. Izvestiya VUZ. Applied Nonlinear Dynamics, 1998, vol. 6, iss. 5, pp. 19-27. DOI: 10.18500/0869-6632-1998-6-5-19-27

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Language: 
Russian
Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Article type: 
Article
UDC: 
531.36
DOI: 
10.18500/0869-6632-1998-6-5-19-27

Quasipotential in sensitivity analysis оf the stochastically forced auto-oscillations

Autors: 
Bashkirtseva Irina Adolfovna, Ural Federal University named after the first President of Russia B.N.Yeltsin
Ryashko Lev Borisovich, Ural Federal University named after the first President of Russia B.N.Yeltsin
Abstract: 

The problem of auto—oscillations sensitivity of nonlinear system with respect to small stochastic disturbances is considered. The sensitivity analysis on the base of the quasipotential function is used. For the plane orbit case the quasipotential approximation is given by some scalar function. This function plays a role of risk function allowing to compare the sensitivity levels of the different pieces of orbits. For stochastically forced brusselator we demonstrate that risk function is a simple theoretical predictor of the characteristics of random ftrajectories distribution about е stable limit cycle.

Key words: 
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Acknowledgments: 
This work was supported by grant № 97-0-1.7-72 from the Ministry of General and Vocational Education.
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Received: 
23.06.1998
Accepted: 
07.10.1998
Published: 
25.02.1999
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