Economical dynamical models
| Supervisor | prof. RNDr., Irena Rachůnkova, DrSc. |
| Name | Economical dynamical models |
| Type | Bachelor |
| Status | Assigned |
| Description | - Description of a given real problem, determination of all variables and parameters, which will be investigated. - Determination of basic assumptions about the given problem. Computation of mathematical formulas by means of the assumptions. - Construction of a mathematical model in the form of one or more differential equations. - A brief overview of definitions and theorems from the theory of ordinary differential equations and dynamical systems, needed to investigation of the model. - Determination of critical points and phase portraits. - Investigation of a dependence of the phase portraits on changes of parameters contained in the model. - Creation of phase portraits for given values of parameters by a mathematical software.
Literature: J. Hale, H. Kocak: Dynamics nad Bifurcations. Springer, New York 1991. P.N.V. Tu: Dynamical Systems, Springer, Heidelberg 1994. L. Perko: Di erential Equations and Dynamical Systems. Springer, New York 1991. J. Kalas, M. Ráb: Obyčejné diferenciální rovnice. Brno 1995. |