DTU Course Descriptions 1998

10231 Non Linear Dynamical Systems
Ikke-lineære dynamiske systemer, grundkursus

Type: Å, Language: E

Credit points: 5 point

Offered by: Department of Physics (FYS)

No credit points with: C0211/01248

Prerequisite: 04110 samt kernestof i matematik og fysik

Recommended semester: 4th -7th semester

Limitation: Max. 70

Class schedule: E6 even years

Exam Schedule: No exam

Scope and form: 2 weekly lectures and problem solving using computers

Examination: Evaluation of compulsory reports. (13 point scale )

Remarks: In odd years refer to 01248 Nonlinear dynamic systems.

Contact person: Erik Mosekilde, FYS, Building 309, Tel. +45 4525 3104 Morten Brøns, MAT, Building 303, Tel. +45 4525 3067

Aim: To provide the participants with a basic insight into 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.