Geodesic
Business cycles and torus in the non-homogeneous multiplier-accelerator model
Modelirovanie i analiz informacionnyh sistem, Tome 16 (2009) no. 4, pp. 86-95.

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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, theory of normal forms, multiplier-accelerator model, non-homogeneous model, Hopf's bifurcation, Landau's scenario for turbulence, non-linear dynamics.
Mots-clés : invariant torus 
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E. S. Kokuykin; A. N. Kulikov. Business cycles and torus in the non-homogeneous multiplier-accelerator model. Modelirovanie i analiz informacionnyh sistem, Tome 16 (2009) no. 4, pp. 86-95. http://geodesic.mathdoc.fr/item/MAIS_2009_16_4_a7/

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