Chaos Theory
Faculteit  Science and Engineering 
Jaar  2017/18 
Vakcode  WICHAOS08 
Vaknaam  Chaos Theory 
Niveau(s)  bachelor 
Voertaal  Engels 
Periode  semester I b 
ECTS  5 
Rooster  rooster.rug.nl 
Uitgebreide vaknaam  Chaos Theory  
Leerdoelen  1. The student is able to reproduce the basic notions of chaos and attractor, and is able to discuss this concept in the context of unpredictability and fractal sets. 2. The student is able to review models from population dynamics and models concerning climate evolution, and is able to review physical systems like forced oscillators 3. The student is able to discuss the history of the discipline of Nonlinear Dynamical Systems. 4. The student is able to describe the behavior of particular nonlinear models in terms of concepts treated in the course. 5. The student is able to access and extract selected relevant additional topics from the literature. 6. The student is able to compose a written essay on topics treated in the course and on topics extracted from the literature. 7. The student is able to explain and summarize notions extracted from the literature in an oral presentation 

Omschrijving  This course presents an overview of Chaos Theory as a part of the discipline of Nonlinear Dynamical Systems. Dynamical systems in effect concern everything that moves. Think of models for mechanical and electrical systems, like the solar system, pendula, RLCnetworks, etc. An alternative kind of system is obtained by iteration of maps. Think of systems with a discrete time, like those occurring in population dynamics. It is amazing that a first onset to the discipline have come from the biologist Robert may, the meteorologist Edward Lorenz, the astronomer Michel Henon and from the physicist Mitchell Feigenbaum. Apart from this also mathematicians like Henri Poincare, Steven Smale and many others have played an important role.  
Uren per week  
Onderwijsvorm  Hoorcollege (LC), Opdracht (ASM)  
Toetsvorm 
Presentatie (P), Verslag (R)
(Written presentation 80%, oral presentation 20% (Written presentation in the form of an essay)) 

Vaksoort  bachelor  
Coördinator  dr. I. Hoveijn  
Docent(en)  dr. I. Hoveijn  
Verplichte literatuur 


Entreevoorwaarden  
Opmerkingen  For a global overview and background literature see the reference H.W. Broer and F. Takens, Appl. Math. Scs. 172, SpringerVerlag 2011. The book `Dynamical Systems and Chaos' is reissued under Appl. Math. Scs. 172, SpringerVerlag 2011. 

Opgenomen in 
