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: 08.01.2025 - 07.04.2025
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
valid for whole curriculum period:
Prerequisites
valid for whole curriculum period:
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:
Teaching Language: English
Teaching Period: 2024-2025 Spring III - IV
2025-2026 Spring III - IV