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Modelirovanie i Analiz Informatsionnykh Sistem, 2009, Volume 16, Number 4, Pages 86–95
(Mi mais75)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/mais75 https://www.mathnet.ru/eng/mais/v16/i4/p86
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Abstract page: | 238 | Full-text PDF : | 97 | References: | 45 |
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