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
- Pass with distinction (5), Pass with credit (4), Pass (3), Fail (U)
- Finalised by
- The Faculty Board of Science and Technology, 16 May 2017
- 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
After completing the course the student should be able to
- analyse complex dynamical systems showing a chaotic behavior,
- describe applications related to the course contents from different scientific disciplines.
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.