## Carlos Argaez Garcia

### Speaker: Carlos Argaez Garcia, UI

### Title: Numerical methods for dynamic systems: Analysis of stability

Location: V-258, VR-II

Time: Thursday February 21 at kl. 11.40

### Abstract:

Dynamic systems describe the evolution over time of quantities governed by

differential equations. Therefore they are a powerful descriptive tool of

phenomena originated in applied disciplines.

A complete Lyapunov function describes the dynamic behavior of such

systems without requiring the explicit solution of the differential

equations. However, these have the disadvantage of being difficult to

obtain.

The algorithms proposed here, reduce the effort to obtain such functions

and even more, are able to isolate the regions whose dynamics have a

periodic behavior.

Throughout this talk, simple examples of applications in both two- and

three-dimensional systems will be given.