Omfattning: 5
Tidtabel: 09.01.2019 - 11.04.2019
Kontaktuppgifter till kursens personal (gäller denna kursomgång):
Lecturer:
Riku Linna
e-mail: riku.linna@aalto.fi
Office: B334 (CS-building)
Assistant:
Tarmo Nurmi
e-mail: tarmo.nurmi@aalto.fi
Undervisningsperiod (är i kraft 01.08.2018-31.07.2020):
III (Spring)
Innehåll (är i kraft 01.08.2018-31.07.2020):
Flows on the line. Bifurcations. Flows on the plane. Limit cycles. Lorenz equations. One-dimensional maps. Logistic maps. Lyapunov exponents. Fractals.
Närmare beskrivning av kursens innehåll (gäller denna kursomgång):
The student will learn the principles of analysing nonlinear and chaotic dynamical systems using mathematics and diagrammatic methods. Basic understanding of fundamental concepts in chaotic systems such as strange attractors will be obtained.
Metoder, arbetssätt och bedömningsgrunder (är i kraft 01.08.2018-31.07.2020):
Final examination and mathematical/computational exercises.
Närmare information om bedömningsgrunderna och -metoderna och om hur den studerande kan ta del av bedömningen (gäller denna kursomgång):
Doing and returning exercises is optional but highly recommended for those wanting to learn. No exercise points are required to take the exam but you can compensate for maximum of 20 % of exam points with completed exercises. There is a threshold of 10 % of assignment points; total points exceeding this threshold will (after appropriate scaling) contribute to compensation points in the exam.
Preciserad belastningsberäkning (gäller denna kursomgång):
Lectures: 10 * 1.5 h = 15 h
Studying the material, completing the assignments, and participating in the exercise sessions: 10 * (1.5+9) h = 105 h
Preparing for and taking the exam: (16 +4) h = 20 h
Total: 135 h (= 5 cr * 27 h)
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The division of studying hours, of course, varies depending on to which extent the assignments are completed.
Studiematerial (är i kraft 01.08.2018-31.07.2020):
S. H. Strogatz, Nonlinear dynamics and chaos. Specific articles may be added.
Närmare information om kursmaterial (gäller denna kursomgång):
Lecture notes covering the required material will be given.
Ersättande prestationer (är i kraft 01.08.2018-31.07.2020):
Replaces the former course BECS-114.7151 Nonlinear Dynamics and Chaos and CS-E5750 Nonlinear Dynamics and Chaos.
Förkunskaper (är i kraft 01.08.2018-31.07.2020):
The student should be familiar with differential equations, linear algebra, and programming.
Bedömningsskala (är i kraft 01.08.2018-31.07.2020):
0-5
Tilläggsinformation (är i kraft 01.08.2018-31.07.2020):
This course is for Master’s students and graduate students.
Närmare information om tidtabellen (gäller denna kursomgång):
There will be ten lectures and exercise sessions. The first lecture is on Wed Jan 9 and the first exercise session on Thu Jan 17. Each assignment will be given by the time of a weekly lecture and students wishing to have their assignment graded are to return their solutions by the next lecture. The solutions will be shown and discussed on the exercise session on the following Thursday.
- Lärare: Linna Riku
- Lärare: Nurmi Tarmo