Topic outline

  • General

  • Course Materials

    • This is Problem Sheet 0 of course B5.6 Nonlinear Dynamics, Bifurcations and Chaos, covering revisions of some Prelims and Part A material, we will build on in our lectures.

      Please solve Problem Sheet 0 before the course starts. 

      Solutions to Problem Sheet 0 were given in our first lecture on Tuesday in Week 1 (16/01/2024). The slides from the first lecture are available by clicking [here]


    • Our lectures used a combination of slides and derivations on the whiteboard. Lecture Notes are available in the form of slides which were used in our lectures. My slides are provided as a pdf file which is intended to be displayed in the full-screen mode. All animations have been included as individual pages of the pdf file (to avoid technical problems with sharing slides with embedded video files). For example, a figure illustrating the dynamics of ODEs or maps is shown for different values of parameters on multiple pages, which will look like snapshots of a video, when the slides are viewed in the full-screen mode. In addition to my slides, there are also six books in the Reading List of course B5.6, which are discussed on pages 56, 57 and 543 of my slides.

    • Problem Sheet 1 covers material discussed in Weeks 1 and 2. It includes seven problems in Sections A, B and C.

      Solutions to all problems in Sections A and C are available to students in Solutions to Problem Sheet 1 section of this course website. Solutions to problems in Section B are only available to class tutors and teaching assistants on this website.


    • Problem Sheet 1 covers material discussed in Weeks 1 and 2. It includes seven problems in Sections A, B and C. Solutions to all problems in Sections A and C are available to students in this pdf file, while written solutions to the problems in Section B are only available to class tutors.

    • Problem Sheet 2 covers material discussed in Weeks 3 and 4. It includes seven problems in Sections A, B and C. 

      Solutions to all problems in Sections A and C are available to students in Solutions to Problem Sheet 2 section of this course website. Solutions to problems in Section B are only available to class tutors and teaching assistants on this website.


    • Problem Sheet 2 covers material discussed in Weeks 3 and 4. It includes seven problems in Sections A, B and C. Solutions to all problems in Sections A and C are available to students in this pdf file, while written solutions to the problems in Section B are only available to class tutors.

    • Problem Sheet 3 covers material discussed in Weeks 5 and 6. It includes seven problems in Sections A, B and C. 

      Solutions to all problems in Sections A and C are available to students in Solutions to Problem Sheet 3 section of this course website. Solutions to problems in Section B are only available to class tutors and teaching assistants on this website.



    • Problem Sheet 3 covers material discussed in Weeks 5 and 6. It includes seven problems in Sections A, B and C. Solutions to all problems in Sections A and C are available to students in this pdf file, while written solutions to the problems in Section B are only available to class tutors.

    • Problem Sheet 4 covers material discussed in Weeks 7 and 8. It includes seven problems in Sections A, B and C.

      Solutions to all problems in Sections A and C are available to students in Solutions to Problem Sheet 4 section of this course website. Solutions to problems in Section B are only available to class tutors and teaching assistants on this website.


    • Problem Sheet 4 covers material discussed in Weeks 7 and 8. It includes seven problems in Sections A, B and C. Solutions to all problems in Sections A and C are available to students in this pdf file, while written solutions to the problems in Section B are only available to class tutors.