Basic Module: Differential Equations I - Dynamical Systems I
Isabelle Schneider
Additional information / Pre-requisites
<p>Analysis I to III and Lineare Algebra I and II.</p>¶¶
Comments
Dynamical Systems are concerned with anything that moves. They are typically described by ordinary, functional, or partial differential equations, or, in the case of discrete time, by iterations. In this course, we will study flows and evolutions, first integrals, the existence and uniqueness of solutions, as well as ω-limit sets and Lyapunov functions. Dynamical systems have a vast range of applications, from physics and biology to economics and engineering.
Requirements: Analysis 1 & 2, Linear Algebra 1 & 2. An interest in applications is advantageous.
closeSuggested reading
L.C. Evans, Partial Differential Equations. Gelegentlich: W. Strauss, Partial Differential Equation. Alle Exemplare beider Texte stehen im Handapparat Ecker.
Vorausgesetztes Material zu Analysis II und III siehe z.B. Appendices in diesem Buch (vor allem Appendix C und E (Maß- und Integrationstheorie).
close25 Class schedule
Regular appointments