Colloquium Mathematics, Professor Rafael Ortega

Join us for coffee and tea at 15.30 p.m.

Title: Periodic solutions of the forced pendulum: from existence to stability

Abstract:

Consider the equation $$x''+\beta \sin x=f(t)$$ where $f(t)$ is a periodic forcing. This simple model is a good laboratory to test some global methods in Nonlinear Analysis. Traditionally the existence of periodic solutions is discussed using tools coming from Topology and Calculus of Variations. In this talk we will try to adapt these tools for the study of the stability of these solutions. The results will be of the type "For almost every forcing $f(t)$..." and the notion of set of measure zero in a space of infinite dimensions will play an important role.

Colloquium coordinators are Prof.dr. A.C.D. van Enter (e-mail : A.C.D.van.Enter@rug.nl) and Dr. A.V. Kiselev (e-mail: a.v.kiselev rug.nl )

http://www.rug.nl/research/jbi/news/colloquia/mathematics-colloquia/