| NFYD10 | Chaos and Non-Linear Phenomena, 7,5 ECTS credits. /Kaos och icke-linjära fenomen/ |
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OBS! |
The course, that is only available every second year, is available during 2006. |
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Prel. scheduled
hours: 56 |
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Area of Education: Science Subject area: Physics |
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| Advancement level
(A-D): D
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| Aim: The course will give an orientation in the special properties of non-linear systems of theoretical and practical interest, and also an orientation in some topical areas of research like solitons and "breathers". |
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| Prerequisites: (valid for students admitted to programmes within which the course is offered) NFYB10 Quantum Physics, NMAC51 Mathematical Methods of Physics and NFYC73 Analytical Mechanics. The courses NFYC02 Quantum Mechanics and NFYC59 Solid State Physics are recommended. Note: Admission requirements for non-programme students usually also include admission requirements for the programme and threshhold requirements for progression within the programme, or corresponding. |
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| Organisation: 38 hours lectures and 18 hours exercises solving problems. The course will be given every second year alternating with NFYD74 Elementary Particles. NFYD10 Chaos and Non-Linear Phenomena will be given in 2006. |
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| Course contents: Introduction. Experiments and simple models. Vibrations in mechanical systems and electrical circuits. Piecewise linear maps and deterministic chaos. Universal behavior of quadratic maps. Bifurcations. Poincaré maps. Lyapunov exponents. Fractal dimensions. Period-doubling. Homoclinic and heteroclinic orbits. The intermittency route to chaos. Strange attractors in dissipative dynamical systems. The transition from quasiperiodicity to chaos. Regular and irregular motion of conservative systems. Integrable and non-integrable systems. Solitons and breathers with applications. Chaos in quantum systems. |
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| Course literature: G. Ohlén, S. �.berg and P. �-stborn: Chaos (Compendium, Lund, 2004) and complementary material handed out during the course. |
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| Examination: | |||
| Hand-in exercises Assignment |
3,5 p 1,5 p |
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Course language is Swedish/English. Department offering the course: IFM. Director of Studies: Magnus Boman Examiner: Magnus Johansson Link to the course homepage at the department Course Syllabus in Swedish |
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