Dynamical Systems (L6) (G5126)
Dynamical Systems (L6)
Module G5126
Module details for 2024/25.
15 credits
FHEQ Level 6
Module Outline
1. General dynamical systems: semiflow, stability & attraction, omega-limit set, global attractor.
2. Ordinary Differential Equations: Linear systems, Lyapunov function, linearized systems around fixed points, two-dimensional systems, periodic orbits.
3. Discrete systems (iterations): Linear systems, linearized systems around fixed points, chaos.
Module learning outcomes
Understand the general concepts of dynamical systems and be able to give examples of dynamical systems.
Perform a stability analysis of fixed points and periodic orbits in ordinary differential equations using linearization and Lyapunov functions.
Describe and apply linearization around fixed points of discrete dynamical systems.
Prove existence results on attractors and properties of omega limit sets for general dynamical systems.
| Type | Timing | Weighting |
|---|---|---|
| Coursework | 20.00% | |
| Coursework components. Weighted as shown below. | ||
| Portfolio | T2 Week 11 | 40.00% |
| Problem Set | T2 Week 4 | 15.00% |
| Problem Set | T2 Week 9 | 15.00% |
| Problem Set | T2 Week 6 | 15.00% |
| Problem Set | T2 Week 11 | 15.00% |
| Unseen Examination | Semester 2 Assessment | 80.00% |
Timing
Submission deadlines may vary for different types of assignment/groups of students.
Weighting
Coursework components (if listed) total 100% of the overall coursework weighting value.
| Term | Method | Duration | Week pattern |
|---|---|---|---|
| Spring Semester | Lecture | 1 hour | 11111111111 |
| Spring Semester | Lecture | 2 hours | 11111111111 |
How to read the week pattern
The numbers indicate the weeks of the term and how many events take place each week.
Dr Miroslav Chlebik
Assess convenor, Convenor
/profiles/202996
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