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Can tori arise in a two–regional model with fixed exchange rates

Peter Maličký () and Rudolf Zimka ()

Operations Research and Decisions, 2009, vol. 19, issue 1, 103-119

Abstract: A two-regional, five dimensional model describing the development of income, capital stock and money stock, which was introduced by T. Asada in [1], is analysed. Sufficient conditions are found for the existence of two pairs of purely imaginary eigenvalues and a fifth negative one for the linear approximation matrix of the model. A theorem on the existence of invariant tori is presented.

Keywords: dynamic model; equilibrium; linear approximatiomatrix; eigenvalues; normal form of differential equations on invariant surface; bifurcation equation; torus (search for similar items in EconPapers)
Date: 2009
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