Academic Catalog

MATH759 INTRODUCTION TO CHAOTIC DYNAMICAL SYSTEMS

Course Code: 2360759
METU Credit (Theoretical-Laboratory hours/week): 3(3-0)
ECTS Credit: 8.0
Department: Mathematics
Language of Instruction: English
Level of Study: Masters
Course Coordinator:
Offered Semester: Fall or Spring Semesters.

Course Content

Mapping and Orbits. Periodic orbits, Linear mappings. Differentiable mappings. Hyberbolicity. Family of mappings Bifurcations. The quadratic map, Symbolic dynamics. Ingredients of chaos: Sensitivity, Dense orbits and transitivity. Schwarzian derivatives, Wiggly iterates. Cantor set and chaos. Higher dimensional dynamics: linear maps. The horseshoe map. Various routes to chaos.