Procedings of the 3nd International Conference "Mathematical Physics and its Applications"
Complex Systems, Quantum Mechanics, Information Theory

The random-disturbed dynamic models and the maximum entropy method

V. M. Zhuravlev, P. P. Mironov

Ulyanovsk State University, Ulyanovsk, 432017, Russia

Abstract: In the work the behavior of random-disturbed equations is analysed on the basis of the Reynolds method and the maximum entropy principle. The stability of models is analysed. The general features of dynamics of Verhulst model, Volterra–Lotke model and Euler's equations of solid body rotation are revealed.

Keywords: random-disturbed dynamics equations, Reynolds method, maximum entropy method.

UDC: 517.938

MSC: 34F05, 34D20

Original article submitted 14/XI/2012
revision submitted – 22/I/2013

DOI: 10.14498/vsgtu1169

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