| TFYY02 | Chaos and Non-Linear Phenomena, 5 ECTS credits. /Kaos och icke-linjära fenomen/ |
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OBS! |
The course, that is only given every second year, is given during 2006. |
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Prel. scheduled
hours: 56 |
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Area of Education: Technology 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) TFFY 17 Modern Physics, TFFY 02 Mathematical Methods of Physics or TATA 30 Partial Differential Equations, TFFY 43 Analytical Mechanics. The courses TFFY 54 Quantum Mechanics and TFFY 70 Physics of Condensed Matter part I 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 TFFY27 Elementary Particle Physics. TFYY02 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. Ã.berg/P. Östborn: Chaos (Compendium, Lund) and complementary material handed out during the course. |
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| Examination: | |||
| Hand-in assignments Oral presentation of solved problems |
3,5 p 0 p |
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Course language is Swedish/English. Department offering the course: IFM. Director of Studies: Leif Johansson Examiner: Magnus Johansson Link to the course homepage at the department Course Syllabus in Swedish |
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