Talk
IMPRS Ringvorlesung: Summer semester 2013
Abstract
About this lecture
Due to the rather broad spectrum of topics within the IMPRS, the curriculum consists of a core curriculum to be attended by all students and a variety of more specialized lectures and courses. The heart of our teaching program certainly is the Ringvorlesung. Each semester the Ringvorlesung focuses on one field and is usually delivered by scientific members of the IMPRS who introduce different approaches and visions within this field.
Topics
- Lecturer: Fatihcan Atay
- Introduction to dynamical systems. Existence, uniqueness, continuous dependence of solutions to ODEs
- Flows, invariant sets, alpha and omega limit sets
- Concepts of stability: Lyapunov, orbital, global. Lyapunov functions
- Periodic solutions, Floquet multipliers, Poincare maps, Hyperbolicity and bifurcations
- Lecturer: Felix Otto
- Stable, unstable and center manifolds
- Poincare normal forms
- Topological conjugacy (Hartman-Grobman)
- Examples and applications (pattern formation)
- Lecturer: Jürgen Jost
- Dynamical systems, Morse-Conley theory
- Entropy of dynamical systems
- Entropy concepts (topological and measure theoretic), entropy and information
- Invariant measures
Date and time info
Mondays 13:30 - 15:00
Links
- F. Atay I, Video (1080p)
- F. Atay I, Video (720p)
- F. Atay II, Video (1080p)
- F. Atay II, Video (720p)
- F. Atay III, Video (1080p)
- F. Atay III, Video (720p)
- F. Atay IV, Video (1080p)
- F. Atay IV, Video (720p)
- F. Otto I, Video (1080p)
- F. Otto I, Video (720p)
- F. Otto II, Video (1080p)
- F. Otto II, Video (720p)
- F. Otto III, Video (1080p)
- F. Otto III, Video (720p)
- F. Otto IV, Video (1080p)
- F. Otto IV, Video (720p)
- J. Jost I, Video (1080p)
- J. Jost I, Video (720p)
- J. Jost II, Video (1080p)
- J. Jost II, Video (720p)
- J. Jost III, Video (1080p)
- J. Jost III, Video (720p)
- J. Jost IV, Video (1080p)
- J. Jost IV, Video (720p)
