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, 18 March 2010
- 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
The course aims for developing practical skills for understanding complexity and solving dynamical systems that exhibit chaotic behaviour.
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.