Dynamical System and Chaos
Syllabus, Master's level, 1FA152
- Code
- 1FA152
- Education cycle
- Second cycle
- Main field(s) of study and in-depth level
- Mathematics A1N, Physics A1N
- Grading system
- Fail (U), Pass (3), Pass with credit (4), Pass with distinction (5)
- Finalised by
- The Faculty Board of Science and Technology, 30 August 2018
- Responsible department
- Department of Physics and Astronomy
Entry requirements
120 credits with Mechanics III (analytical mechanics), or equivalent. Familiarity with Mathematica, Maple or MATLAB is recommended.
Learning outcomes
On completion of the course, the student should be able to:
- describe applications related to the course contents from different scientific disciplines.
- analyse complex dynamical systems showing a chaotic behavior,
Content
Simple examples of dynamical systems from Physics, Chemistry and biology. Orbits, fixed and periodical points. Hamiltonian and dissipative systems. Aspects of nonlinearity. Bifurcation and transition to chaos. Chaos, Liapunov exponent, attractors and critical orbits. Newtons method. Fractals, Julia Set and Mandelbrot set. Several applications will be presented.
The course is intended not only to students in physics but also to students in technology, biology and economy.
Instruction
Lectures and lessons
Assessment
Written examination at the end of the course. Hand-in exercises.
If there are special reasons for doing so, an examiner may make an exception from the method of assessment indicated and allow a student to be assessed by another method. An example of special reasons might be a certificate regarding special pedagogical support from the disability coordinator of the university.