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Introduction to Mathematical Chaos Theory for Engineers |
Abbreviation: | Load: 45(L)
+ 0(E)
+ 0(LE)
+ 0(CE)
|
Lecturers in charge: | Prof. dr. sc. Mervan Pašić |
Lecturers: | |
Course description: Fundamentals of stability theory and bifurcation. The Feigenbaum diagram. Universality principle, Schwarzian derivative. Periodic points, Sarkovski theorem. Sensitivity, the Ljapunov exponent. Fractals and fractal dimensions. Chaotic one-hump iterators. Chaotic iterators on metric spaces. L- systems. Fluid convexity, the Lorenz model. Control of chaos. |
Compulsory literature: |
1. | Uvod u matematičku teoriju kaosa za inženjere M. Pašić FER-Skriptarnica 2005 |
2. | Chaos and Fractals. New Frontiers of Science H.-O. Peitgen, H, Jurgens, D. Saupe Springer 1992 |
3. | Chaos, Fractals, and Dynamics R. L. Devaney Addison-Wesley 1990 |
4. | Chaos for Engineers. Theory, Applications, and Control T. Kapitaniak Springer 2000 |
Recommended literature: - - - |
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