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01248 Non Linear Dynamical Systems
Danish title: Ikke-lineære dynamiske systemer, grundkursus

Type: Å, Language: EEE
Credit points: 5 point
Offered by: Department of Mathematics (MAT)
No credit points with: C0211/10231
Prerequisite: C0201/04110 samt kernestof i matematik
Recommended semester: 4th -7th semester
Limitation: Max. 70
Scope and form: 2 lecture modules and 1 hour of problem solving per week.
Examination: Evaluation of compulsory job. (13 point scale )
Contact person: Morten Brøns, MAT, Building 303, Tel. +45 4525 3067
Erik Mosekilde, FYS, Building 309, Tel. +45 4525 3102
Aim: To provide the participants with a basic insight in to the analysis of nonlinear dynamic phenomena as well as the theory and application of ordinary differential equations; further to enable them to carry through a simulation of dynamic systems using the computer.
Contents: Analysis of nonlinear dynamic systems by means of phase plane methods. Classification of equilibrium points. Limit cycles. Bifurcations, averaging methods, perturbation methods, stability, and chaos. Simulation of dynamical systems by numerical solution of systems of ordinary differential equations.