CHAOS for Science and Technology (FMFN05, 7.5hp)

Teaching 2020:
Important notice COVID19: The website is now managed through Canvas. All updates will happen through that platform. Students registered should have access. The rest have to request access at this page: Due to the present state of emergency the teaching will be moved online and there will be no lecture at the previously designated rooms. Instead, a Zoom server has been setup, reachable during lecture time at the following address: There will be an introductory meeting where it will be explained the structure of the course and what's the plan to move forward. You are welcome to ask any questions and propose ways to ease your work. Due to the uncertain nature of the event and the technical detail related (might happen that the connection is unreliable to the high number of users that will start next week), be particularly attentive to emails and announcements and the lecture, project and assessment modes might change. Don't hesitate to contact me if you need to discuss for any reason related to the course. My (virtual) door is open through zoom and email at

**This Site is no longer Mantained and is kept as archive**

March Wed 25, 13-15: One-dimensional maps March Fri 27, 8-10: One-dimensional maps April Wed 1, 13-15: Fractal Geometry April Fri 3, 8-10: Fractal geometry April Wed 8, 13-15: Fractal geometry April Thu 9, 8-10: Fractal geometry April Tue 28, 8-10: Multidimensional systems April Wed 29, 13-15: Multidimensional systems May Wed 6, 13-15: Dissipative systems May Fri 8, 8-10: Dissipative systems May Wed 13, 13-15: Conservative Systems May Fri 15, 8-10: Conservative Systems May Wed 27, 13-15: Conservative Systems May Fri 29, 8-10: Summary and Complexity TBA Projects/Questions Exercises: Tuesdays 15-17 (31/3, 7/4, 28/04, 5/5, 26/5), Friday 8/5 15-17.

Andrea Idini

Teaching Assistant: Alex Arash Sand Kalaee
Exercises: Tuesdays 15-17 in H322 (2/4, 9/4, 16/04, 7/5, 14/5, 21/5), Friday 10/5 15-17 in H322.

Wednesday June 4, 08.00 - 13.00, in H221.


The project is a compulsory part of the course and corresponds to 1.5 hp. Have a look at the github page and contribute! Lund in Chaos, github projects 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, Please choose and sign up for a topic by 08 May.
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.

Other information

Literature: Gunnar Ohlen, Sven Åberg and Per Östborn: Chaos, revised version in English 2007, available at the Div. of Mathematical Physics.
S. H. Strogatz, Nonlinear dynamics and chaos (2015)

[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]


Session 1: 2.1 - 2.11 Session 2: 2.12 - 2.14, 3.1 - 3.8 Session 3: 3.8 - 3.14, 4.1 - 4.6 Session 4: 4.7 - 4.10, 5.1 - 5.3 Session 5: 5.4 - 5.11, 6.1, 6.3 Session 6: 6.2, 6.4 - 6.10

Extra Material

Chaos PBS Documentary ('80s, you can see Lorentz in person and his working environment)
Chaos: A Mathematical adventure (modern youtube series with good animations)

Lund in Chaos, github projects

Kursansvarig: Andrea Idini, tel 222 90 80

Updated 20190516