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Modelirovanie i Analiz Informatsionnykh Sistem, 2009, Volume 16, Number 4, Pages 86–95 (Mi mais75)  
This article is cited in 1 scientific paper (total in 1 paper)

Business cycles and torus in the non-homogeneous multiplier-accelerator model

E. S. Kokuykin, A. N. Kulikov

P. G. Demidov Yaroslavl State University
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Abstract: This paper analyzes the well known multiplier-accelerator model from a mathematical point of view. It introduces non-linear components to standard linear models. Using the theory of normal forms, the existence of the stable non-homogeneous invariant torus has been shown.
Keywords: non-linear second-order differential equation, periodic solution, invariant torus, theory of normal forms, multiplier-accelerator model, non-homogeneous model, Hopf's bifurcation, Landau's scenario for turbulence, non-linear dynamics.
Received: 04.09.2009
Bibliographic databases:
Document Type: Article
UDC: 517.9+519.86
Language: Russian
Citation: E. S. Kokuykin, A. N. Kulikov, “Business cycles and torus in the non-homogeneous multiplier-accelerator model”, Model. Anal. Inform. Sist., 16:4 (2009), 86–95
Citation in format AMSBIB
\Bibitem{KokKul09}
\by E.~S.~Kokuykin, A.~N.~Kulikov
\paper Business cycles and torus in the non-homogeneous multiplier-accelerator model
\jour Model. Anal. Inform. Sist.
\yr 2009
\vol 16
\issue 4
\pages 86--95
\mathnet{http://mi.mathnet.ru/mais75}
\elib{https://elibrary.ru/item.asp?id=13010895}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Моделирование и анализ информационных систем
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