CHAOS for Science and Technology (FMFN05, 7.5hp)

Teaching 2019:
Introduction Meeting: Monday 25 March, 12:00 in H322 Lectures: Wednesdays 13 - 15, Fridays 8 - 10 in H421

Plan for lectures:
March 27 One-dimensional maps
March 29 One-dimensional maps
April 3 Fractal geometry (SÅ)
April 4, Thursday 15-17 Fractal geometry (SÅ)
April 10 Fractal geometry (SÅ)
April 12 Multidimensional systems
April 17 Multidimensional systems
May 8 Dissipative systems
May 10 Dissipative systems
May 15 Conservative Systems
May 17 Conservative Systems
May 22 Conservative Systems
May 24 Summary and Complexity
May 29, Wednesday 10-12 Projects/Questions

Lecturers:
Andrea Idini (AI), Sven Åberg (SÅ)



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.


Examination
Wednesday June 4, 08.00 - 13.00, in H221.

Project

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]

Exercises:

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
E-mail: andrea.idini@matfys.lth.se

Updated 20190516