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JOURNALS // Computer Research and Modeling // Archive

Computer Research and Modeling, 2013 Volume 5, Issue 1, Pages 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

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.

UDC: 519.8

Received: 21.11.2012
Revised: 20.12.2012

DOI: 10.20537/2076-7633-2013-5-1-107-118



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