caa a22 4500 605521824 CHVBK 20210128100742.0 cr unu---uuuuu 210128e20150301xx s 000 0 eng 10.1007/s10958-015-2285-9 doi (NATIONALLICENCE)springer-10.1007/s10958-015-2285-9 Osipenko G. Sevastopol Institute of Banking, 6 Parkovaya Str., 99057, Sevastopol, Ukraine aut Nonlinear Dynamics of the Interaction of National Income, Interest Rate, and Price Level [Elektronische Daten] [G. Osipenko] We study the dynamics of a macroeconomic system formed by the interacting national income, interest rate, and price level. This dynamics can be described by a discrete system in the three-dimensional space. We study this system and show that there is a curve formed by fixed points that give equilibria on the market of money, commodities, and services. We prove that there exists a foliation transverse to the curve each layer of which is an integral manifold for the system. In the direction transverse to the layers, the dynamics changes from the equilibrium state to chaos. The paper contains both the theoretical results and the data of numerical experiments. We also consider perturbations of the system by small random uncontrolled actions simulating, in a natural way, the environmental influence on the system. Springer Science+Business Media New York, 2015 Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 205/6(2015-03-01), 806-820 1072-3374 205:6<806 2015 205 10958 https://doi.org/10.1007/s10958-015-2285-9 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10958-015-2285-9 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Osipenko G. Sevastopol Institute of Banking, 6 Parkovaya Str., 99057, Sevastopol, Ukraine aut NATIONALLICENCE 773 0- Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 205/6(2015-03-01), 806-820 1072-3374 205:6<806 2015 205 10958