Academic Catalog

MATH768 THEORY OF DYNAMICAL SYSTEMS

Course Code: 2360768
METU Credit (Theoretical-Laboratory hours/week): 8(3-0)
ECTS Credit: 3.0
Department: Mathematics
Language of Instruction: English
Level of Study: Graduate
Course Coordinator:
Offered Semester: Fall or Spring Semesters.

Course Content

Flows and cascades. Limit sets and compact motions. Recurrence. Minimal sets. Attractors. Poisson stability. Quasi-minimal sets and chaos. Central motions. Almost periodic motions. Lyapunov stability. Birkhoff`s ergodic theorem. Studying chaos with densities. Asymptotic properties of densities. Semi-flows.