Dynamische Systeme

This workshop continued the biannual series at Oberwolfach on Dynamical Systems that started as the “Moser-Zehnder meeting” in 1981. The main themes of the workshop are the new results and developments in the area of dynamical systems, in particular in Hamiltonian systems and symplectic geometry related to Hamiltonian dynamics

Dynamische Systeme

[no abstract available

Dynamische Systeme

This workshop continued the biannual series at Oberwolfach on Dynamical Systems that started as the ”Moser-Zehnder meeting” in 1981. The main themes of the workshop are the new results and developments in the area of dynamical systems, in particular in Hamiltonian systems and symplectic geometry related to Hamiltonian dynamics. Highlights were new results on Arnold diffusion and a new approach to the study of Hamiltonian systems based on pseudoholomorphic curve methods

Dynamische Systeme

This workshop continued the biannual series at Oberwolfach on Dynamical Systems that started as the “Moser–Zehnder meeting” in 1981. The main themes of the workshop are the new results and developments in the area of dynamical systems, in particular in Hamiltonian systems and symplectic geometry. This year special emphasis where laid on symplectic methods with applications to dynamics. The workshop was dedicated to the memory of John Mather, Jean-Christophe Yoccoz and Krzysztof Wysocki

Dynamische Systeme

This workshop, organized by Hakan Eliasson (Paris), Helmut Hofer (Princeton) and Jean-Christophe Yoccoz (Paris), continued the biannual series at Oberwolfach on Dynamical Systems that started as the “Moser– Zehnder meeting” in 1981. The workshop was attended by more than 50 participants from 12 countries. The main theme of the workshop were the new results and developments in the area of classical dynamical systems, in particular in celestial mechanics and Hamiltonian systems. Among the main topics were KAM theory in finite and infinite dimensions, and new developments in Floer homology (Rabinowitz-Floer homology)

Dynamische Systeme

This workshop continued the biannual series at Oberwolfach on Dynamical Systems that started as the “Moser-Zehnder meeting” in 1981. The main themes of the workshop are the new results and developments in the area of dynamical systems, in particular in Hamiltonian systems and symplectic geometry related to Hamiltonian dynamics. Highlights were the solution of a fifty year old problem in Arnold diffusion and a KAM-result on quasi-linear perturbations of the KdV-equation

Dynamische Systeme

This workshop continued the biannual series at Oberwolfach on Dynamical Systems that started as the “Moser & Zehnder meeting” in 1981. The main theme of the workshop were the new results and developments in the area of classical dynamical systems, in particular in celestial mechanics and Hamiltonian systems. Among the main topics were new results on Arnold diffusion, new global results on symplectic fixed point theory and the dynamics on Hamiltonian energy surfaces. A high point was Ginzburg’s solution of the Conley conjecture for aspherical symplectic manifolds generalizing recent results by N. Hinston. Another highlight was Mather’s report on Aubry Sets in Small Perturbations of Integrable Systems

Dynamische Systeme (hybrid meeting)

This workshop continued a biannual series of workshops at Oberwolfach on dynamical systems that started with a meeting organized by Moser and Zehnder in 1981. Workshops in this series focus on new results and developments in dynamical systems and related areas of mathematics, with symplectic geometry playing an important role in recent years in connection with Hamiltonian dynamics. In this year special emphasis was placed on various kinds of spectra (in contact geometry, in Riemannian geometry, in dynamical systems and in symplectic topology) and their applications to dynamics

Weighted Koopman Semigroups on Banach Modules

Ein bewährter Ansatz zur Untersuchung topologischer dynamischer Systeme ist eine globale Linearisierung mithilfe des sogenannten Koopmanismus. In der vorliegenden Arbeit wird ein entsprechender Ansatz für dynamische Systeme, welche neben topologischen Eigenschaften zusätzliche Struktur aufweisen, vorgestellt

Dynamische Systeme verstehen

Diese Arbeit setzt sich mit der Behandlung von Differenzen- und Differentialgleichungen im Unterricht mittels anwendungsorientierter Kontexte auseinander. Hierfür wurde in der Einleitung versucht, eine allgemein didaktische, sowie, durch den Mathematiklehrplan der 8. Klasse AHS, eine rechtliche Grundlage der zu besprechenden Themen zu schaffen. Das zweite Kapitel widmet sich einem relativ neuen, im Unterricht verwendeten Aufgabentypus, nämlich den Modellierungsaufgaben. Dabei lag der Fokus darauf, eine kurze Darstellung der wichtigsten Begriffe und Theorien von Modellierungen im Unterricht zu erarbeiten. Die Differenzen- und Differentialgleichungen kommen im dritten Kapitel zur Sprache. Das Ziel für die mathematische Darstellung dieser lautete, dass sich deren Theorie zwischen dem Bereich der Schulmathematik und jener der „reinen Mathematik” ansiedeln soll. Das letzte Kapitel enthält Unterrichtsmaterialien, welche sich mit Vorgängen aus der Biologie auseinandersetzten, die sich durch Differenzen- und Differentialgleichungen beschreiben lassen.This diploma thesis deals with the teaching of difference and differential equations in applied contexts. The introduction gives, in addition to a didactical basis, a regulatory basis for the following work based on the curriculum for the 8th form AHS. The second chapter considers the relatively new area of modelling examples, including a short overview of the most important theories and concepts. The third chapter deals with the theory of difference and differential equations. This theory is found to be a compromise between the mathematics taught at school and pure mathematics. The application of this theory through teaching materials based on biological systems and their associated models is considered in the final chapter