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| SYST0017-1 | Non linear systems | ||
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| Duration : | 30h Th, 30h Pr | ||
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| Credits/ECTS : | |||
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| Holder(s) : | Rodolphe Sepulchre | ||
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| 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 fields of neurodynamics, nonlinear control, and physics. Further specific illustrations are presented by the students at the end of the course. - Introduction to nonlinear dynamical phenomena - Introduction to dynamical models in neuroscience - Multiple equilibria and planar models - Simple models of neural computation, Hopfield networks - Gradient systems, Lyapunov functions, stability - Feedback stabilization of equilibria - Limit cycles - Hopf bifuractions, asymptotic methods - Coupled oscillators, synchronization phenomena - Input-output tools for the analysis of nonlinear systems - Introduction to chaos and strange attractors | ||
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| Course objective : | An increasing number of engineering applications either exploit or have to deal with nonlinear dynamical phenomena. The course presents the basic mathematical tools used in the modelling and analysis of such phenomena. | ||
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| Prerequisites : | SYST002-1 or an equivalent course on linear systems | ||
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| Workshops : | Personal project and oral presentation based on assigned reading papers. Matlab homeworks | ||
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| Organization : | 1st semester. All practical informations regarding the course are available at http://www.montefiore.ulg.ac.be/systems/SYST017/syst017.htm | ||
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| Written notes : | copy of the slides and recommended textbook are available on the web | ||
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| Assessment : | Oral presentation and written report on project | ||
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| Contacts : | R. SEPULCHRE | ||
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ULg : Students and Studies Administration - Academic Affairs
Contact : Monique Marcourt, direction A.E.E.
Date of data : 27/02/2006
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