| Type: | Open University
Language: English |
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Prerequisite: The core curriculum in mathematics, as well as 01248/01031
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Recommended semester: 4th -7th semester
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Scope and form: 2 lecture modules and 1 hour problem solving per week.
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Examination: Written exam At the beginning of the course it will be announced what form the evaluation will take. Eighter a written exam or an evaluation of mandatory problem sets. (13-scale)
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Remarks: The topics of the course will change from semester to semester. The course is only expected to be held when the year is an odd number.
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Department: Department of Mathematics
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Aim: To cover in depth one or more topics from the mathematical theory for nonlinear differential equations.
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Contents: Examples of course topics are: The vector Riccati equation and the Poincaré successor function. Stability and invariant sets, including the second method of Lyapunov and LaSalle's theorem. Periodic solutions to the Liénard equation. Conservative systems. Hamiltonian systems. Floguet theory. Forced oscillations. Non-linear normal forms. Perturbation techniques. Averaging methods. Bifurcation theory.
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