CS-E5755 - Nonlinear Dynamics and Chaos D, Lecture, 10.1.2024-15.4.2024

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Please note! Course description is confirmed for two academic years, which means that in general, e.g. Learning outcomes, assessment methods and key content stays unchanged. However, via course syllabus, it is possible to specify or change the course execution in each realization of the course, such as how the contact sessions are organized, assessment methods weighted or materials used.

LEARNING OUTCOMES

The student will learn the principles of analysing nonlinear and chaotic dynamical systems using mathematics, and diagrammatic and numerical methods. Basic understanding of fundamental concepts in chaotic systems such as strange attractors will be obtained.

Credits: 5

Schedule: 10.01.2024 - 15.04.2024

Teacher in charge (valid for whole curriculum period):

Teacher in charge (applies in this implementation): Riku Linna

Contact information for the course (applies in this implementation):

CEFR level (valid for whole curriculum period):

Language of instruction and studies (applies in this implementation):

Teaching language: English. Languages of study attainment: English

CONTENT, ASSESSMENT AND WORKLOAD

Content

  • valid for whole curriculum period:

    Flows on the line. Bifurcations. Flows on the plane. Limit cycles. Lorenz equations. One-dimensional maps. Logistic maps. Lyapunov exponents. Fractals.

Assessment Methods and Criteria

  • valid for whole curriculum period:

    Final examination and mathematical/computational exercises.

Workload

  • valid for whole curriculum period:

    Studying the material, completing the assignments, and participating in the exercise sessions: 100 h. Ten lectures and exercise sessions. (Each week contact teaching: 3-4 h, individual studying and doing exercises appr. 6 h.)

    Preparing for and taking the exam: 35 h

    Total: 135 h (= 5 cr * 27 h)

DETAILS

Study Material

  • valid for whole curriculum period:

    Lecture slides. Book: S. H. Strogatz, Nonlinear dynamics and chaos. Specific articles and videos may be used.

Substitutes for Courses
Prerequisites
SDG: Sustainable Development Goals

    3 Good Health and Well-being

    13 Climate Action

    14 Life Below Water

    15 Life on Land

FURTHER INFORMATION

Further Information

  • valid for whole curriculum period:

    The course runs for 9-10 weeks, so for the whole period III and part of period IV. 

    Teaching Language : English

    Teaching Period : 2022-2023 Spring III - IV
    2023-2024 Spring III - IV

    Enrollment :

    Registration for Courses: In the academic year 2021-2022, registration for courses will take place on Sisu (sisu.aalto.fi) instead of WebOodi. Via weboodi.

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Aalto University Code of Academic Integrity and Handling Violations Thereof