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: |
Prof.Dr. MARAT AKHMET |
| 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.
