Deterministic Chaos and Fractals [EN] WM-FI-MON-DCF
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
(in Polish) E-Learning
(in Polish) Grupa przedmiotów ogólnouczenianych
Subject level
Learning outcome code/codes
Type of subject
Course coordinators
Learning outcomes
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 criteria
Written exam (test) and exercises.
Bibliography
S. H. Strogatz, Nonlinear Dynamics and Chaos,
Addison-Wesley, Reading, 1994.
E. Ott, Chaos in Dynamical Systems,
Cambridge University Press, 1993.
Additional information
Additional information (registration calendar, class conductors, localization and schedules of classes), might be available in the USOSweb system: