E. S. Kokuykin, A. N. Kulikov, “Business cycles and torus in the non-homogeneous multiplier-accelerator model”, Model. Anal. Inform. Sist., 2009, Volume 16, Number 4,Pages <nobr>86

This article is cited 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.

UDC: 517.9+519.86

Received: 04.09.2009