CHAOS plan and information

Teaching:

There will be an introductory meeting where the compendia for the course will be handed out, 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.

Introduction Slides Download Introduction Slides

Plan for Lectures

The recordings of the lectures during the year 2020 are available on youtube. Links to an external site. The content follows the textbook, but there are sporadic changes that will be indicated in the page and during lectures. Examples might differ, and discussions in the classroom are generally fruitful in person.

One-dimensional maps

Fractal geometry

Multidimensional Systems

Dissipative Systems

Conservative Systems

Summary and Complexity

Projects/Questions

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Lecturer: Andrea Idini andrea.idini@matfys.lth.se
Teaching Assistant: Tiziano Arnone Cardinale tiziano.arnone_cardinale@matfys.lth.se

Examination
- Thursday October 31, 08.00 - 13.00, TBA, it will NOT be open book.

Project

The project is a compulsory part of the course with only pass/fail grade, and corresponds to 1.5 hp. Here is the list of suggested projects of 2022 Download Here is the list of suggested projects of 2022 and more information. More information will come, in the meantime find one or two coursemates. Have a look at the github page Links to an external site.and think to contribute!

Literature:

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

Previous years Exams

[Exam, 051021] Download [Exam, 051021]
[Solutions - exam, 051021] Download [Solutions - exam, 051021]
[Exam, 070111] Download [Exam, 070111]
[Answers - exam, 070111] Download [Answers - exam, 070111]

Download [Exam, 0819]

(2020 was an open book exam during the pandemic)

Download 2020-06-Exam.pdf


Download 2020-06-Solution.pdf

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

Lund in Chaos, github projects Links to an external site.

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

[Comments/corrections on Chapter 3: Fractal geometry] Download [Comments/corrections on Chapter 3: Fractal geometry]

[Some simple illustrations on fractals] Download [Some simple illustrations on fractals]

[Comments/corrections on Chapter 4: Multidimensional maps] Download [Comments/corrections on Chapter 4: Multidimensional maps]

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

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

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

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

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

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

Kursansvarig: Andrea Idini, tel 222 90 80
E-mail: andrea.idini@matfys.lth.se