University of Liege | Version française
Study programmes 2012-2013Last update : 18/06/2013
SYST0017-1  Non linear systems

Duration :  30h Th, 30h Pr
Number of credits :  
Master in Biomedical Engineering, in-depth approach, 2nd year5
Master in Electrical Engineering, in-depth approach, 2nd year5
Master of science in computer science and engineering, in-depth approach, 2nd year5
Master in Engineering Physics, in-depth approach, 2nd year5
Master in Bio-informatics and Modelling, Research focus, 2nd year4
Lecturer :  Rodolphe Sepulchre
Language(s) of instruction :  
French language
Organisation and examination :  
Teaching in the first semester, review in January
Course contents :  
The course is an introduction to the analysis and synthesis of nonlinear dynamical systems. The mathematical tools are illustrated on different applications, preferentially in the field of neurodynamics. Further specific illustrations are investigated by the students through individual projects.
Learning outcomes of the course :  
The course presents the basic mathematical tools used in the modeling and analysis of nonlinear dynamical phenomena: bistability and multistability, limit cycles, excitability, modeling of cellular and network rhythms, bifurcations and strange attractors.
Prerequisites and co-requisites/ Recommended optional programme components :  
SYST002-1 or an equivalent course on linear systems
Planned learning activities and teaching methods :  
a homework to hand out each week during the semester + one final project
Mode of delivery (face-to-face ; distance-learning) :  
1st semester. All practical informations regarding the course are available at
http://www.montefiore.ulg.ac.be/systems/SYST017/syst017.htm
Recommended or required readings :  
Textbook: 'Dynamical systems in Neuroscience', E. Izhikevich, MIT Press, 2007.
Assessment methods and criteria :  
4 individual homeworks during the
school year;
Individual project + written report +
oral presentation for final exam.
Work placement(s) :  
Organizational remarks :  
Contacts :  
R. SEPULCHRE


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