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

Voir la notice de l'article provenant de la source Math-Net.Ru

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 
@article{MAIS_2009_16_4_a7,
     author = {E. S. Kokuykin and A. N. Kulikov},
     title = {Business cycles and torus in the non-homogeneous multiplier-accelerator model},
     journal = {Modelirovanie i analiz informacionnyh sistem},
     pages = {86--95},
     publisher = {mathdoc},
     volume = {16},
     number = {4},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MAIS_2009_16_4_a7/}
}
TY  - JOUR
AU  - E. S. Kokuykin
AU  - A. N. Kulikov
TI  - Business cycles and torus in the non-homogeneous multiplier-accelerator model
JO  - Modelirovanie i analiz informacionnyh sistem
PY  - 2009
SP  - 86
EP  - 95
VL  - 16
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MAIS_2009_16_4_a7/
LA  - ru
ID  - MAIS_2009_16_4_a7
ER  - 
%0 Journal Article
%A E. S. Kokuykin
%A A. N. Kulikov
%T Business cycles and torus in the non-homogeneous multiplier-accelerator model
%J Modelirovanie i analiz informacionnyh sistem
%D 2009
%P 86-95
%V 16
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MAIS_2009_16_4_a7/
%G ru
%F MAIS_2009_16_4_a7
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/