| Course title | Dynamical Systems |
|---|---|
| Course code | KMA/DS |
| Organizational form of instruction | Lecture + Exercise |
| Level of course | Bachelor |
| Year of study | 2 |
| Semester | Summer |
| Number of ECTS credits | 6 |
| Language of instruction | Czech |
| Status of course | Compulsory, Compulsory-optional |
| Form of instruction | Face-to-face |
| Work placements | This is not an internship |
| Recommended optional programme components | None |
| Lecturer(s) |
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| Course content |
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1. Modelling using dynamical systems. 2. Linear systems, classification. 3. Nonlinear systesm, local theory. Stability. 4. Gradient and hamiltonian systems. 5. 2D models: Bifurcations and limit cycles (Poincaré-Bendixson theory), Lotka-Volterra model, pendulum, oscilators. 6. 3D models: chaos and strange attractors (Rosler, Lorenz).
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| Learning activities and teaching methods |
| Lecture |
| Learning outcomes |
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Understand basic notions concerning dynamical systems.
Comprehension Understand basic notions concerning dynamical systems. |
| Prerequisites |
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Differential and integral calculus.
KMA/MA1 and KAG/LA1A |
| Assessment methods and criteria |
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Oral exam, Seminar Work
Oral exam. Credits: defense of the seminal work |
| Recommended literature |
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| Study plans that include the course |
| Faculty | Study plan (Version) | Category of Branch/Specialization | Recommended semester | |
|---|---|---|---|---|
| Faculty: Faculty of Science | Study plan (Version): Mathematics (2020) | Category: Mathematics courses | 2 | Recommended year of study:2, Recommended semester: Summer |
| Faculty: Faculty of Science | Study plan (Version): Applied Mathematics - Specialization in Business Mathematics (2026) | Category: Mathematics courses | 2 | Recommended year of study:2, Recommended semester: Summer |
| Faculty: Faculty of Science | Study plan (Version): Applied Mathematics - Specialization in Data Science (2026) | Category: Mathematics courses | 2 | Recommended year of study:2, Recommended semester: Summer |
| Faculty: Faculty of Science | Study plan (Version): Applied Mathematics - Specialization in Industrial Mathematics (2026) | Category: Mathematics courses | 2 | Recommended year of study:2, Recommended semester: Summer |
| Faculty: Faculty of Science | Study plan (Version): Applied Mathematics - Specialization in Mathematics for Sustainable Innovation (2026) | Category: Mathematics courses | 2 | Recommended year of study:2, Recommended semester: Summer |