Title of the course: Introduction to dynamical systems
Instructor: Prof. François Dunlop
Institution: CY Cergy Paris Université
Dates: 31 August – 4 September 2020
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