From 2 November 2020, the autumn semester 2020 will take place online. Exceptions: Courses that can only be carried out with on-site presence. Please note the information provided by the lecturers via e-mail.

George Haller: Catalogue data in Spring Semester 2020

Name Prof. Dr. George Haller
FieldNonlinear Dynamics
Address
Chair in Nonlinear Dynamics
ETH Zürich, LEE M 210
Leonhardstrasse 21
8092 Zürich
SWITZERLAND
Telephone+41 44 633 82 50
E-mailgeorgehaller@ethz.ch
URLhttp://georgehaller.com
DepartmentMechanical and Process Engineering
RelationshipFull Professor

NumberTitleECTSHoursLecturers
151-0530-00LNonlinear Dynamics and Chaos II4 credits4GG. Haller
AbstractThe internal structure of chaos; Hamiltonian dynamical systems; Normally hyperbolic invariant manifolds; Geometric singular perturbation theory; Finite-time dynamical systems
ObjectiveThe course introduces the student to advanced, comtemporary concepts of nonlinear dynamical systems analysis.
ContentI. 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
Lecture notesStudents have to prepare their own lecture notes
LiteratureBooks will be recommended in class
Prerequisites / NoticeNonlinear Dynamics I (151-0532-00) or equivalent
151-1053-00LThermo- and Fluid Dynamics0 credits2KP. Jenny, R. S. Abhari, K. Boulouchos, G. Haller, C. Müller, N. Noiray, D. Poulikakos, H.‑M. Prasser, T. Rösgen, A. Steinfeld
AbstractCurrent 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.
ObjectiveKnowledge of advanced research in the areas of thermo- and fluid dynamics
ContentCurrent advanced research activities in the areas of thermo- and fluid dynamics are presented and discussed, mostly by external speakers.
151-1550-00LSeminar in Mechanics0 credits2SE. Mazza, J. Dual, G. Haller
AbstractCurrent problems in theoretical, numerical and experimental mechanics from academia and industry.
ObjectiveCurrent problems in theoretical, numerical and experimental mechanics from academia and industry.