Title of the course: Introduction to dynamical systems
Instructor: Prof. François Dunlop
Institution: Université de Cergy-Pontoise
Dates: 26-31 August 2019
Prerequisites: Calculus
Level: Graduate, advanced undergraduate
Abstract: Chaos in dynamical systems was discovered by Poincaré in his
study of the three-body problem in celestial mechanics. A pendulum with
two degrees of freedom is also subject to chaos. An abstract dynamical
system can be thought of as a function which is composed with itself
over and over again. What is the behaviour of the n’th iterate as n goes
to infinity? The course will try to give some answers and introduce the
basic concepts through many examples, mechanical or more abstract:
circle rotations, expanding maps of the circle, shifts and subshifts,
quadratic maps, etc…
Language: EN