Master’s studies

Syllabus for Dynamical System and Chaos

Dynamiska system och kaos

Syllabus

  • 5 credits
  • Course code: 1FA152
  • Education cycle: Second cycle
  • Main field(s) of study and in-depth level: Physics A1N, Mathematics A1N
  • Grading system: Fail (U), 3, 4, 5.
  • Established: 2010-03-18
  • Established by: The Faculty Board of Science and Technology
  • Revised: 2017-05-16
  • Revised by: The Faculty Board of Science and Technology
  • Applies from: week 27, 2017
  • Entry requirements: 120 credits with Mechanics III (analytical mechanics), or equivalent. Familiarity with Mathematica, Maple or MATLAB is recommended.
  • Responsible department: Department of Physics and Astronomy

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.

Reading list

Applies from: week 17, 2017

  • Strogatz, Steven H. Nonlinear dynamics and chaos : with applications to physics, biology, chemistry and engineering

    Reading, Mass.: Addison-Wesley, 1994

    Find in the library

    Mandatory