George Haller: Katalogdaten im Frühjahrssemester 2019

NameHerr Prof. Dr. George Haller
LehrgebietNichtlineare Dynamik
Chair in Nonlinear Dynamics
ETH Zürich, LEE M 210
Leonhardstrasse 21
8092 Zürich
Telefon+41 44 633 82 50
DepartementMaschinenbau und Verfahrenstechnik
BeziehungOrdentlicher Professor

151-0530-00LNonlinear Dynamics and Chaos II Information
Findet dieses Semester nicht statt.
4 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
SkriptStudents have to prepare their own lecture notes
LiteraturBooks will be recommended in class
Voraussetzungen / BesonderesNonlinear Dynamics I (151-0532-00) or equivalent