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

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  • Peter Maličký
  • Rudolf Zimka

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.

Suggested Citation

  • Peter Maličký & Rudolf Zimka, 2009. "Can tori arise in a two–regional model with fixed exchange rates," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 19(1), pages 103-119.
  • Handle: RePEc:wut:journl:v:1:y:2009:p:103-119
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