George Haller: Katalogdaten im Frühjahrssemester 2023

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
151-0530-00LNonlinear Dynamics and Chaos II4 KP4GG. Haller
KurzbeschreibungThe internal structure of chaos; Hamiltonian dynamical systems; Normally hyperbolic invariant manifolds; Geometric singular perturbation theory; Finite-time dynamical systems
LernzielThe course introduces the student to advanced, comtemporary concepts of nonlinear dynamical systems analysis.
InhaltI. The internal structure of chaos: symbolic dynamics, Bernoulli shift map, sub-shifts of finite type; chaos is numerical iterations.

II.Hamiltonian dynamical systems: conservation and recurrence, stability of fixed points, integrable systems, invariant tori, Liouville-Arnold-Jost Theorem, KAM theory.

III. Normally hyperbolic invariant manifolds: Crash course on differentiable manifolds, existence, persistence, and smoothness, applications.
IV. Geometric singular perturbation theory: slow manifolds and their stability, physical examples. V. Finite-time dynamical system; detecting Invariant manifolds and coherent structures in finite-time flows
SkriptHandwritten instructor's notes and typed lecture notes will be downloadable from Moodle.
LiteraturBooks will be recommended in class
Voraussetzungen / BesonderesNonlinear Dynamics I (151-0532-00) or equivalent
151-1053-00LThermo- and Fluid Dynamics0 KP2KP. Jenny, R. S. Abhari, F. Coletti, G. Haller, C. Müller, N. Noiray, A. Steinfeld, O. Supponen
KurzbeschreibungCurrent advanced research activities in the areas of thermo- and fluid dynamics are presented and discussed, mostly by external speakers.

The talks are public and open also for interested students.
LernzielKnowledge of advanced research in the areas of thermo- and fluid dynamics
InhaltCurrent advanced research activities in the areas of thermo- and fluid dynamics are presented and discussed, mostly by external speakers.
151-1550-00LSeminar in Mechanik0 KP2SG. Haller, E. Mazza
KurzbeschreibungAktuelle Forschungsprobleme der theoretischen numerischen und experimentellen Mechanik, sowie der Mikromechanik aus der Hochschule und der Industrie.
LernzielAktuelle Forschungsprobleme der theoretischen numerischen und experimentellen Mechanik, sowie der Mikromechanik aus der Hochschule und der Industrie.