CHAOS for Science and Technology (FMFN05, 7.5hp)

Teaching 2016:
Lectures: Wednesdays 10 - 12, Fridays 8 - 10 in lecture room D.

Plan for lectures:
March 23 One-dimensional maps (GO)
March 30 One-dimensional maps (GO)
April 1 Fractal geometry (SÅ)
April 6 Fractal geometry (SÅ)
April 8 Fractal geometry (SÅ)
April 13 Multidimensional systems (GO)
April 15 Multidimensional systems (GO)
April 20 Conservative systems (SÅ)
April 22 Conservative systems (SÅ)
April 27 Conservative systems (SÅ)
April 29 Dissipative systems (GO)
May 4 Dissipative systems (GO)

Gunnar Ohlen (GO), Sven Åberg (SÅ)

Exercises: Tuesdays 15 - 17 in C368. Examination
Monday May 30, 08.00 - 13.00, in Fys:H221.


The project is a compulsory part of the course and corresponds to 1.5 hp.
You are suggested to work in groups of two persons, but in special cases you can work alone.
The project shall be presented in a written report - there is no oral presentation. Only two kinds of marks are given on the project part: passed or not passed.
A list of topics is available here
You might also suggest your own topic
You should have at least two meetings with your supervisor. You must start your project work and give a report to your supervisor before the written exam. The final deadline for the project is August 31, 2013.

Computer exercise

You can find the instruction papers here or at the Div. of Mathematical Physics
Matlab programs for the computer exercise in 'zip-format'.
The report should be handed in (in the box labeled "kaos in" at mathematical physics) before the written exam.

Other information

Literature: Gunnar Ohlen, Sven Åberg and Per Östborn: Chaos, revised version in English 2007, available at the Div. of Mathematical Physics.

[Reading instructions, pdf-file]

[Comments/corrections on Chapter 3: Fractal geometry]

[Some simple illustrations on fractals]

[Comments/corrections on Chapter 4: Multidimensional maps]

[Solutions of selected problems, chapter 2, pdf-file]

[Solutions of selected problems, chapter 3, pdf-file]

[Solutions of selected problems, chapter 4, pdf-file]

[Solution to problem 4:7, pdf-file]

[Solutions of selected problems, chapter 5, pdf-file]

[Solutions of selected problems, chapter 6, pdf-file]


[Exam, 051021]

[Solutions - exam, 051021]

[Exam, 070111]

[Answers - exam, 070111]

Updated 20160322