Deterministic Chaos and Fractals [EN]
General data
Course ID: | WM-FI-MON-DCF |
Erasmus code / ISCED: |
13.2
|
Course title: | Deterministic Chaos and Fractals [EN] |
Name in Polish: | Deterministic Chaos and Fractals |
Organizational unit: | Faculty of Mathematics and Natural Sciences. School of Exact Sciences. |
Course groups: |
Courses at UKSW |
Course homepage: | http://www.cbk.waw.pl/~macek |
ECTS credit allocation (and other scores): |
6.00
OR
5.00
(depends on study program)
|
Language: | English |
Subject level: | elementary |
Learning outcome code/codes: | enter learning outcome code/codes X1A_W03 X1A_W03 X1A_U02 X1A_K06 |
Short description: |
Basic properties of dynamical systems Deterministic chaos, strange attractors, and fractals Bifurcations and intermittency Applications for analysis of various complex systems in nature and in economy |
Full description: |
Dynamical View of Nature Fractals: Cantor Set Stability of Linear Systems Attracting and Stable Fixed Points Nonlinear Systems: Pendulum Strange Attractors and Deterministic Chaos Bifurcations and Intermittency Stretching and Folding Mechanism Baker's Map Logistic Map Henon Map Lorenz System Generalized Dimensions Multifractals Quantum Chaos |
Bibliography: |
S. H. Strogatz, Nonlinear Dynamics and Chaos, Addison-Wesley, Reading, 1994. E. Ott, Chaos in Dynamical Systems, Cambridge University Press, 1993. |
Efekty kształcenia i opis ECTS: |
On successful completion of this course student should know basics of fractal analysis and dynamics of linear and nonlinear systems. The student is able to evaluate importance of nonlinearity in mathematical models. He should be able to apply suitable theoretical models to fractal analysis of real nonlinear systems. The student should understand practical importance of the acquired knowledge. |
Assessment methods and assessment criteria: |
Written exam (test) and exercises. |
Classes in period "Summer semester 2019/20" (past)
Time span: | 2020-02-01 - 2020-09-20 |
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Type of class: |
Classes, 30 hours
Lectures, 30 hours
|
|
Coordinators: | Wiesław Macek | |
Group instructors: | Wiesław Macek | |
Students list: | (inaccessible to you) | |
Examination: | examination | |
(in Polish) E-Learning: | (in Polish) E-Learning (pełny kurs) z podziałem na grupy |
|
Type of subject: | obligatory |
|
(in Polish) Grupa przedmiotów ogólnouczenianych: | (in Polish) nie dotyczy |
Copyright by Cardinal Stefan Wyszynski University in Warsaw.