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10233 Dynamic Simulation of Complex Systems
Danish title: Dynamisk simulering af komplekse systemer

Type: Å, Language: EEE
Credit points: 5 point
Previous course: C1293
Offered by: Department of Physics (FYS)
No credit points with: C1293
Prerequisite: (Kernestof i matematik og fysik). C1743/10231/01248/C0211/04211
Desirable: C8141/72205
Recommended semester: 4th -7th semester
Limitation: Max. 40
Scope and form: 2 lecture modules per week. 6 written problem sets have to be solved during the course.
Examination: Evaluation of compulsory job. (13 point scale )
Contact person: Erik Mosekilde, FYS, Building 309, Tel. +45 4525 3104
Aim: To introduce a set of concepts and techniques that can be used for modeling of systems for which equations of motion have not previously been established. Special emphasis is given to a description of the mechanisms by which oscillations, bifurcations and chaos arise. The role of instabilities in living systems is discussed. Mechanisms for biological pattern formation are described, and methods to characterize nonlinear dynamic phenomena presented.
Contents: Causal loop and flow diagrams. Model formulation. Dynamic phenomena in complex systems. The role of feedbacks, nonlinearities, time delays, and instabilities. Examples of chaos in physiological, biological, ecological, micro and macroeconomic, technical and physical systems. Fractal dimension. Lyaponov exponent. Biological pattern Formation.