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Computer Research and Modeling, 2013, Volume 5, Issue 1, Pages 107–118
DOI: https://doi.org/10.20537/2076-7633-2013-5-1-107-118
(Mi crm384)
 

MODELS OF ECONOMIC AND SOCIAL SYSTEMS

Mathematical modeling of stochastic equilibria and business cycles of Goodwin model

I. A. Bashkirtseva, E. D. Ekaterinchuk, T. V. Ryazanova, A. A. Sysolyatina

Ural Federal University, 51, Lenina avenue, Ekaterinburg, 620083, Russia
References:
Abstract: The Goodwin dynamical model under the random external disturbances is considered. A full parametrical analysis for equlibria and cycles of deterministic model is developed. We study probabilistic properties of stochastic attractors using stochastic sensitivity functions technique and numerical methods. A phenomenon of the generation of stochastic business cycles in the zones of stable equilibria is discussed.
Keywords: Goodwin’s model, business cycle, random pertubation, stochastic sensitivity function, noise-induced transitions.
Received: 21.11.2012
Revised: 20.12.2012
Document Type: Article
UDC: 519.8
Language: Russian
Citation: I. A. Bashkirtseva, E. D. Ekaterinchuk, T. V. Ryazanova, A. A. Sysolyatina, “Mathematical modeling of stochastic equilibria and business cycles of Goodwin model”, Computer Research and Modeling, 5:1 (2013), 107–118
Citation in format AMSBIB
\Bibitem{BasEkaRya13}
\by I.~A.~Bashkirtseva, E.~D.~Ekaterinchuk, T.~V.~Ryazanova, A.~A.~Sysolyatina
\paper Mathematical modeling of stochastic equilibria and business cycles of Goodwin model
\jour Computer Research and Modeling
\yr 2013
\vol 5
\issue 1
\pages 107--118
\mathnet{http://mi.mathnet.ru/crm384}
\crossref{https://doi.org/10.20537/2076-7633-2013-5-1-107-118}
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