Project Chaos Theory

Faculteit Science and Engineering
Jaar 2020/21
Vakcode WBMA025-05
Vaknaam Project Chaos Theory
Niveau(s) bachelor
Voertaal Engels
Periode semester I b
ECTS 5
Rooster rooster.rug.nl

Uitgebreide vaknaam Project Chaos Theory
Leerdoelen At the end of the course, the student is able to:
1. reproduce main concepts of chaos theory, and is able to discuss the concept for specific examples
2. access and extract selected relevant additional topics from the literature
3. write an essay on a specific topic including material from the lectures and material extracted from the literature
4. give an oral presentation a specific topic in front of peer students
Omschrijving This course gives an overview of Chaos Theory which forms a subfield of Dynamical Systems Theory. Dynamical Systems Theory concerns the evolution of systems in time. Examples include mechanical and electrical systems, like the solar system, pendula, and RLC-networks. Besides such systems that
are modelled by differential equations also systems with discrete-time evolution modelled by the iteration of a map are of interest. An example is the evolution of a population size of some biological species from one year to the next. As has been shown by Edward Lorenz, Robert May, Michel Henon, Mitchell Feigenbaum and others the time evolution of even seemingly simple systems can be very irregular and intricate with features of random behaviour. Following the work of Henri Poincare and Steven Smale, Chaos Theory provides the mathematical tools to describe such behaviour and give conditions for its occurrence.
Uren per week
Onderwijsvorm Bijeenkomst (S), Hoorcollege (LC), Opdracht (ASM)
Toetsvorm Presentatie (P), Verslag (R)
(The final grade is determined on the basis of the grades for the written report (80%) and the oral presentation (20%))
Vaksoort bachelor
Co├Ârdinator dr. M. Seri
Docent(en) dr. H. Jardon Kojakhmetov ,dr. M. Seri
Entreevoorwaarden Prior knowledge assumed: Calculus 1, Calculus 2, Linear Algebra 1, Linear Systems, Dynamical Systems
Opmerkingen This course was registered last year with course code WBMA19003
Opgenomen in
Opleiding Jaar Periode Type
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BSc Mathematics: General Mathematics  (Electives and Minor General Mathematics) 3 semester I b keuze
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