Dynamical System and Chaos

5 credits

Syllabus, Master's level, 1FA152

A revised version of the syllabus is available.
Code
1FA152
Education cycle
Second cycle
Main field(s) of study and in-depth level
Mathematics A1N, Physics A1N
Grading system
Pass with distinction, Pass with credit, Pass, Fail
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.

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