Introduction to Dynamical Systems

Course content

  • General Introduction to dynamical systems.
  • Maps in one dimension
  • Maps in two dimensions
  • Differential equations in two dimensions
  • ODE’s in higher dimensions
  • Maps in the complex plane
  • Subshifts of finite type.
Learning outcome

By the end of the course the student is expected to have:

  • In depth knowledge of fundamental results and methods in dynamical systems.
  • Knowledge of the concrete dynamical systems presented in during the course.
  • Understanding of the many and diverse appearances and applications of dynamical systems.

By the end of the course the student is expected to be able to 

  • Analyze and qualified argue for results on dynamical systems.
  • Produce proofs for theorems in line with those appearing in the course.
  • Solve exercises posed during the course.


By the end of the course the student is expected to be able to 

  • Follow and reproduce arguments and applications of abstract notions and concepts from dynamical systems.
  • Produce proofs of simple results at the level of the course.
  • Use the introduced abstract concepts on concrete problems.
  • Discuss topics from dynamical systems.
  • Explain how dynamical systems and results about dynamical systems enter in various applications.

5 hours of lectures and 3 hours of problem-solving per week for 7 weeks

See Absalon for a list of course literature.

Topology or similar and Kompleks funktionsteori (KomAn) or similar.

7,5 ECTS
Type of assessment
Oral examination, 30 minutes, no preparation time
Exam registration requirements

The student must have received approval of 4 out of 5 possible hand-ins.

All aids allowed
Marking scale
7-point grading scale
Censorship form
No external censorship
Several internal examiners

Same as the ordinary exam.

In the event that the student has not obtained approval of 4 out of 5 possible hand-ins before the ordinary exam. The student must, in order to do the reexam, have handed in the missing hand-ins at least 3 weeks prior to the re-exam and have received approvals at least 2 weeks before the reexam.

Criteria for exam assessment

The student must demonstrate satisfactorily that they meet the subject’s objective description.

Single subject courses (day)

  • Category
  • Hours
  • Lectures
  • 35
  • Preparation
  • 130
  • Theory exercises
  • 21
  • Exam Preparation
  • 19
  • Exam
  • 1
  • English
  • 206


Course number
7,5 ECTS
Programme level

1 block

Block 4
No limit
The number of seats may be reduced in the late registration period
Study Board of Mathematics and Computer Science
Contracting department
  • Department of Mathematical Sciences
Contracting faculty
  • Faculty of Science
Course Coordinators
  • Henrik Laurberg Pedersen   (7-6c6972766d6f74447165786c326f7932686f)
  • Carsten Lunde Petersen   (5-6e77706667426f63766a306d7730666d)
Saved on the 04-06-2024

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