151-0530-00L  Nonlinear Dynamics and Chaos II

SemesterSpring Semester 2014
LecturersG. Haller
Periodicitytwo-yearly course
CourseDoes not take place this semester.
Language of instructionEnglish



Catalogue data

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

Performance assessment

Performance assessment information (valid until the course unit is held again)
Performance assessment as a semester course
ECTS credits4 credits
ExaminersG. Haller
Typesession examination
Language of examinationEnglish
Course attendance confirmation requiredNo
RepetitionThe performance assessment is only offered in the session after the course unit. Repetition only possible after re-enrolling.
Mode of examinationwritten 60 minutes
Additional information on mode of examinationThe final grade will be based on 80 % homework and 20 % exam scores
Written aidswritten class notes
This information can be updated until the beginning of the semester; information on the examination timetable is binding.

Learning materials

 
Main linkIndex
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Courses

NumberTitleHoursLecturers
151-0530-00 GNonlinear Dynamics and Chaos II
Does not take place this semester.
3 hrsG. Haller

Restrictions

There are no additional restrictions for the registration.

Offered in

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