The goal of this school is to
introduce the students to basic questions and methods in dynamical systems
through concrete examples. Our basic questions are: Existence of cloded orbits,
integrability (ie, complete solvability), and stability. And the methods are:
geometrization and variational principles. We shall do this by illustrating
these questions and methods by elementary and archetypical examples of
dynamical systems: Billiards, geodesic and magnetic flows, and the 3-body
problem. Another goal is to show that these basic examples and the question we
ask are by no means dry mathematical abstractions, but have their origin in
concrete problems such as mechanics, geometrical optics, and celestial
mechanics.
Prerequisits: We
expect that students have had courses in real analysis of several variables,
know what an ordinary differential equation is, and have followed a course on
curves and surfaces. More knowledge is useful, but not necessary to follow the
lectures.
Registration :
if you are Korean, please send an e-mail to okoert to okoert@snu.ac.kr, or slim@snu.ac.kr with your name, home
institution and a short letter of motivation. If you are a non-Korean, please
visit the CIMPA
website.