Dynamical Systems
| Title | ΔΥΝΑΜΙΚΑ ΣΥΣΤΗΜΑΤΑ / Dynamical Systems |
| Code | 0236 |
| Faculty | Sciences |
| School | Mathematics |
| Cycle / Level | 1st / Undergraduate |
| Teaching Period | Winter |
| Coordinator | Efthimios Kappos |
| Common | No |
| Status | Active |
| Course ID | 600003607 |
Programme of Study: UPS of School of Mathematics (2014-today)
Registered students: 0
| Orientation | Attendance Type | Semester | Year | ECTS |
|---|---|---|---|---|
| Core | Elective Courses belonging to the selected specialization | Winter | - | 5.5 |
| Academic Year | 2017 – 2018 |
| Class Period | Winter |
| Faculty Instructors | |
| Class ID | 600099143
|
Mode of Delivery
- Face to face
Digital Course Content
- e-Study Guide https://qa.auth.gr/en/class/1/600099143
Erasmus
The course is also offered to exchange programme students.
Language of Instruction
- Greek (Instruction, Examination)
- English (Examination)
Prerequisites
Required Courses
- 0201 Calculus I
Learning Outcomes
Introduction to Dynamical Systems
General Competences
- Advance free, creative and causative thinking
Course Content (Syllabus)
Continuous and discrete dynamical systems. Recursions, fixed and periodic points, Sarkovskii's theorem, chaotic behaviour. Examples, Cantor sets, fractals, the logistic function etc. Symbolic dynamics. Statistical and topological behaviour of orbits. Normal families of analytic functions, iterations of analytic functions, dynamic behaviour, Julia and Fatou sets, properties, the Mandelbrot set.
Educational Material Types
- Notes
Course Organization
| Activities | Workload | ECTS | Individual | Teamwork | Erasmus |
|---|---|---|---|---|---|
| Lectures | 39 | 1.3 | ✓ | ||
| Reading Assigment | 60 | 2 | ✓ | ||
| Exams | 10 | 0.3 | |||
| private or group study | 42 | 1.4 | ✓ | ||
| Total | 151 | 5.0 |
Student Assessment
Description
Final exam at the end of the course.
Student Assessment methods
- Written Exam with Extended Answer Questions (Formative, Summative)
- Written Exam with Problem Solving (Formative, Summative)
Bibliography
Additional bibliography for study
Προτεινόμενα συγγράμματα:
1. A. Beardon, Iteration of Rational Functions, Springer-Verlag 1991.
2. M. Brin, G. Stuck, Introduction to Dynamical Systems, Cambridge Univ. Press
2004.
3. R. L. Devaney, Chaotic dynamical systems, 2nd ed., Addison-Wesley 1989.
4. K. Falconer, Fractal Geometry, John Wiley & Sons 1990.
5. J. Milnor, Dynamics in One Complex Variable, 3rd ed., Princeton Univ. Press
2006.
Last Update
09-05-2024
