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01449 Non Linear Differential Equations
Danish title: Ikke-lineære differentialligninger

Type: Å, Language: E
Credit points: 7,5 point
Offered by: Department of Mathematics (MAT)
Prerequisite: 01030/01031/01032/01034/ 36260
Recommended semester: 4th -7th semester
Scope and form: 2 lecture modules and 1 hour problem solving per week.
Examination: Written exam (13 point scale )
Remarks: The topics of the course will change from semester to semester. The course will occasionally be a continuation of 01248/10231 Non Linear Dynamics.
Contact person: Allan Sandqvist, MAT, Building 303, Tel. +45 4525 3038
Aim: To cover in depth one or more topics from the mathematical theory for nonlinear differential equations.
Contents: 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.