MATH759 INTRODUCTION TO CHAOTIC DYNAMICAL SYSTEMS
| Course Code: | 2360759 |
| METU Credit (Theoretical-Laboratory hours/week): | 3 (3.00 - 0.00) |
| ECTS Credit: | 8.0 |
| Department: | Mathematics |
| Language of Instruction: | English |
| Level of Study: | Masters |
| Course Coordinator: | Prof.Dr. MARAT AKHMET |
| Offered Semester: | Fall or Spring Semesters. |
Course Objectives
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.