Geodesic
Spatial non-homogeneous invariant tori in the Multiplier-Accelerator model
Modelirovanie i analiz informacionnyh sistem, Tome 15 (2008) no. 1, pp. 45-50 
E. V. Korshunova; A. N. Kulikov. Spatial non-homogeneous invariant tori in the Multiplier-Accelerator model. Modelirovanie i analiz informacionnyh sistem, Tome 15 (2008) no. 1, pp. 45-50. http://geodesic.mathdoc.fr/item/MAIS_2008_15_1_a7/
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     title = {Spatial non-homogeneous invariant tori in the {Multiplier-Accelerator} model},
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     url = {http://geodesic.mathdoc.fr/item/MAIS_2008_15_1_a7/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper we introduce a boundary value problem based on the well known Multiplier-Accelerator model proposed by Paul Samuelson which is an extension of the works of John Keynes. The suggested boundary value problem is to consider spatial effects when studying processes of macroeconomics. For the boundary value problem given, using the Invariant Manifolds method, the method of Averaging and the Theory of Normal Forms we show the existence of stable spatial non-homogeneous invariant tori.

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