George Haller: Catalogue data in Spring Semester 2021
|Name||Prof. Dr. George Haller|
Chair in Nonlinear Dynamics
ETH Zürich, LEE M 210
|Telephone||+41 44 633 82 50|
|Department||Mechanical and Process Engineering|
|151-0530-00L||Nonlinear Dynamics and Chaos II||4 credits||4G||G. Haller|
|Abstract||The internal structure of chaos; Hamiltonian dynamical systems; Normally hyperbolic invariant manifolds; Geometric singular perturbation theory; Finite-time dynamical systems|
|Objective||The course introduces the student to advanced, comtemporary concepts of nonlinear dynamical systems analysis.|
|Content||I. 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 notes||Students have to prepare their own lecture notes|
|Literature||Books will be recommended in class|
|Prerequisites / Notice||Nonlinear Dynamics I (151-0532-00) or equivalent|
|151-1053-00L||Thermo- and Fluid Dynamics||0 credits||2K||P. Jenny, R. S. Abhari, G. Haller, C. Müller, N. Noiray, D. Poulikakos, T. Rösgen, A. Steinfeld|
|Abstract||Current 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.
|Objective||Knowledge of advanced research in the areas of thermo- and fluid dynamics|
|Content||Current advanced research activities in the areas of thermo- and fluid dynamics are presented and discussed, mostly by external speakers.|
|151-1550-00L||Seminar in Mechanics||0 credits||2S||J. Dual, G. Haller, E. Mazza|
|Abstract||Current problems in theoretical, numerical and experimental mechanics from academia and industry.|
|Objective||Current problems in theoretical, numerical and experimental mechanics from academia and industry.|