Oscillators
| Supervisor | prof. RNDr., Irena Rachůnkova, DrSc. |
| Name | Oscillators |
| Type | Bachelor |
| Status | Assigned |
| Description | - Definition of a limit cycle to an autonomous system of ordinary differential equations. - Examples of limit cycles and methods of proofs of their existence. - Lienard systems, definitons, phase portraits. - Creation of phase portraits for given values of parameters by a mathematical software.
Literature: J.K.Hale, H. Kocak : Dynamics and Bifurcations, Springer, New York 1991. L. Perko: Differential Equations and Dynamical Systems, Springer, New York 1993. J.H. Hubbard, B.H. West: Differential Equations : A Dynamical Systems Approach, Springer, New York 1995. J.Kalas, M. Ráb : Obyčejné diferenciální rovnice, MU Brno, 1995. |