George Haller: Katalogdaten im Herbstsemester 2020

NameHerr Prof. Dr. George Haller
LehrgebietNichtlineare Dynamik
Adresse
Chair in Nonlinear Dynamics
ETH Zürich, LEE M 210
Leonhardstrasse 21
8092 Zürich
SWITZERLAND
Telefon+41 44 633 82 50
E-Mailgeorgehaller@ethz.ch
URLhttp://georgehaller.com
DepartementMaschinenbau und Verfahrenstechnik
BeziehungOrdentlicher Professor

NummerTitelECTSUmfangDozierende
151-0532-00LNonlinear Dynamics and Chaos I Information 4 KP2V + 2UG. Haller
KurzbeschreibungBasic facts about nonlinear systems; stability and near-equilibrium dynamics; bifurcations; dynamical systems on the plane; non-autonomous dynamical systems; chaotic dynamics.
LernzielThis course is intended for Masters and Ph.D. students in engineering sciences, physics and applied mathematics who are interested in the behavior of nonlinear dynamical systems. It offers an introduction to the qualitative study of nonlinear physical phenomena modeled by differential equations or discrete maps. We discuss applications in classical mechanics, electrical engineering, fluid mechanics, and biology. A more advanced Part II of this class is offered every other year.
Inhalt(1) Basic facts about nonlinear systems: Existence, uniqueness, and dependence on initial data.

(2) Near equilibrium dynamics: Linear and Lyapunov stability

(3) Bifurcations of equilibria: Center manifolds, normal forms, and elementary bifurcations

(4) Nonlinear dynamical systems on the plane: Phase plane techniques, limit sets, and limit cycles.

(5) Time-dependent dynamical systems: Floquet theory, Poincare maps, averaging methods, resonance
SkriptThe class lecture notes will be posted electronically after each lecture. Students should not rely on these but prepare their own notes during the lecture.
Voraussetzungen / Besonderes- Prerequisites: Analysis, linear algebra and a basic course in differential equations.

- Exam: two-hour written exam in English.

- Homework: A homework assignment will be due roughly every other week. Hints to solutions will be posted after the homework due dates.
151-1053-00LThermo- and Fluid Dynamics0 KP2KP. Jenny, R. S. Abhari, K. Boulouchos, G. Haller, C. Müller, N. Noiray, D. Poulikakos, H.‑M. Prasser, T. Rösgen, A. Steinfeld
KurzbeschreibungCurrent advanced research activities in the areas of thermo- and fluid dynamics are presented and discussed, mostly by external speakers.
LernzielKnowledge of advanced research in the areas of thermo- and fluid dynamics