The Dynamics of Supply and Demand
Author(s):
G. S. Osipenko
Sevastopol Institute of Banking,
Ukraine
george.osipenko@mail.ru
Eugenii Konstantinovich Ershov
St. Petersburg State University of Architecture and Civil Engineering,
Russia
ershov@ee13858.spb.edu
Abstract:
The paper is devoted to the study of a 3rd order discrete dynamical system modelling the dynamics of
supply and demand. It was proved that there is a stable balans for small parameter values .
The complex bifurcation were investigated and parameter values for which periodical orbits and chaotic
regimes exist were obtained.
References:
- Lebedev V. V., Lebedev K. V. , Mathematical modeling nonstational ecomical processes, Moscow, 2011, 336 p. (in Russian)
- Newhouse S. and Pignataro T., On the estimation of topological entropy, Journal of Statistical Physics, 72, 1993, 1331-1351
- Nitecki Z., Shub M., Filtrations, decompositions, and explosions, Amer. J. of Math., vol. 97, 1975, 1029-1047
- Osipenko G. S., Ampilova N. B., Introduction to symbolic analysis of dynamical systems, St. Petersburg, 2005 (in Russian)
- Osipenko G., Dynamical systems, Graphs, and Algorithms, Lecture Notes in Mathematics, vol. 1889, Springer-Verlag, Berlin and New York, 2007
- Osipenko G. S., Korzh T. N., Ershov E. K., Dynamics of price-level, national income and cost of money interaction, International Conference "Modeling, control, and stability MCS-2012" (Sevastopol, Crimea, 2012), 158-159
