turkmath.org

With little historical inaccuracy the abstract dynamics may be said to have its inception in the work of H. Poincaré on celestial mechanics. Initially its central objective is the qualitative study of differential equations. In its contemporary form it straddles an increasingly interdisciplinary domain that reaches from very practical issues like the stability, accuracy and efficiency of numerical methods to theory of group actions in several categories. The talk is meant to be a tentative introduction.