Welcome

to the homepage of Dynamical Systems and Chaos, an undergraduate course offered yearly by the Complexity Group. This course addresses unexperienced students eager to learn the theoretical foundations of dynamical systems. Its syllabus includes discrete mappings, bifurcation theory (in both continuous and discrete systems), strange attractors, fractals, etc. In addition to these topics the final lectures of the course will be dedicated to the numerical treatment of ordinary differential equations with emphasis on (embedded) Runge-Kutta methods.

The course is taught by Prof. Mogens Hgh Jensen.

The first course will be at the 6st/Feb/2017 (Monday). Time and place are arranged as following, for detailed content of the lectures and exercises, go to the Exercises link on the top.

Lectures:

Time: Mondays 13:15-14:00; Place: Aud 5 HC, (I hope we can move to Aud A, NBI)
Time: Wednesdays 10:15-12:00; Place: Aud 5 HC, (I hope we can move to Aud A, NBI)

Tutorials (Hold 1)

Mikkel Svenningsen, 07-1-kb4, mikkel.svenningsen@nbi.ku.dk
Email:
Mondays 14:15-16:00; Place: S11, HC
Wednesdays 13:15-15:00; Place: S11, HC

Tutorials (Hold 2)

Johannes Lohmann, RF, johannes.lohmann@nbi.ku.dk
Email:
Mondays 14:15-16:00; Place: v - 3-1-25, DIKU,
Wednesdays 13:15-15:00; Place: v - 3-1-25, DIKU

Here are the solutions for 2015 answers 2015
Here are the solutions for 2016 answers 2016
Here are the solutions for 2017 answers 2017

Eksamens-resultater (Eksamens nummer:karakter) 1:4, 2:02, 3:10, 4:4, 5:10, 7:10, 8:12, 9:4, 10:02, 11:12, 14:12, 15:4, 16:12, 17:7, 19:7, 20:10, 21:10, 22:10, 23:02, 24:7, 25:12, 26:12, 27:10, 28:4, 29:12, 30:10, 32:12, 34:12, 35:7, 36:02, 37:7, 40:10, 41:4, 42:7, 43:10, 44:12, 45:00, 46:7, 47:7, 48:12, 49:00, 50:10, 51:10, 52:7, 53:4, 54:02, 55:12, 56:02, 57:10, 59:00, 60:12, 61:12, 62:7, 64:7, 65:02, 66:02, 67:12, 68:10, 70:10, 72:10, 73:00, 74:-3, 76:10, 77:7, 78:10, 79:-3, 80:02, 81:7

En meget flor eksamen !! Hilsen, Mogens (og fra velseslrerne)

Nullclines

The solutions of all the exercises will go online after each exercise session.

The exercise sessions are held by Mikkel Svenningsen and Johannes Lohmann. If you have questions, ideas, concerns, you are always welcome to mail either of us. You can also come by the B floor in the K building or by RF building.

Teaching materials

Book coverThe main textbook used on this course is: Steven H. Strogatz' Nonlinear Dynamics and Chaos (Addison Wesley, 1994 or 2015 (PS: Both are OK)). Additional materials will be provided for the numerical treatment of ordinary differential equations and bifurcation theory in continuous systems. Appurtenant lecture notes will be available for discrete mappings and their role in the numerical solution of continuous dynamical systems.

Links