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

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Muzychuk O. V. Some exact results for probability characteristics of Ferhulst stochastic equation. Izvestiya VUZ. Applied Nonlinear Dynamics, 1996, vol. 4, iss. 3, pp. 18-24. DOI: 10.18500/0869-6632-1996-4-3-18-24

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Language: 
Russian
Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Article type: 
Article
UDC: 
531.36:534.1
DOI: 
10.18500/0869-6632-1996-4-3-18-24

Some exact results for probability characteristics of Ferhulst stochastic equation

Autors: 
Muzychuk Oleg Vladimirovich, Nizhny Novgorod State University of Architecture
Abstract: 

Main stochastic characteristics of one-dimentional Ferhulst equation with parameters fluctuations are inverstigated. Some models of fluctuations which reduce to exact results for stationary probability characteristics are studied: Gaussian delta-correlated noise, quasy-static fluctuations, Markoff Gaussian and «telegraph» processes. The probability descriptions are treated both for populations number N and for the inverted quantity 1/N which may be interpreted as normalized unit square. The influence of the intensity, correlation scale and probability distribution of system parameters fluctuations for population stochastic characteristics are inverstigated.

Key words: 
-
Acknowledgments: 
The work was carried out with the support of the State Committee of the Russian Federation for Education (grant 95-0-8.3-36).
Reference: 
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Received: 
03.07.1995
Accepted: 
10.12.1995
Published: 
15.12.1996
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