The two-regional five dimensional model describing the development of income, capital stock and moneystock, which was introduced by T.~Asada in \cite{asada} is analysed.Sufficient conditions for the existence of one pair of purely imaginary eigenvaluesand three eigenvalues with negative real parts in the linear approximation matrixof the model are found. Theorem on the existence of business cycles is presented.
@article{21, title = {Can business cycles arise in a two-regional model with fixed exchange rates?}, journal = {Tatra Mountains Mathematical Publications}, volume = {43}, year = {2009}, doi = {10.2478/tatra.v43i0.21}, language = {EN}, url = {http://dml.mathdoc.fr/item/21} }
Maličký, Peter; Zimka, Rudolf. Can business cycles arise in a two-regional model with fixed exchange rates?. Tatra Mountains Mathematical Publications, Tome 43 (2009) . doi : 10.2478/tatra.v43i0.21. http://gdmltest.u-ga.fr/item/21/