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Lecturer(s)
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Andres Jan, prof. RNDr. dr hab. DSc.
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Course content
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1. Iterated function systems. 2. Fractals as attractors of iterated function systems. 3. Fractal dimensions. 4. Deterministic chaos. 5. Numerics of chaotic trajectories - The Shadowing Lemma. 6. Transversal homoclinic points and the Melnikov function.
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Learning activities and teaching methods
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Lecture
- Attendace
- 39 hours per semester
- Semestral Work
- 50 hours per semester
- Homework for Teaching
- 30 hours per semester
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Learning outcomes
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To introduce the basic results and principles of the theory of chaos and fractals.
Comprehension To uderstand the basic principles of the theory of chaos and fractals.
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Prerequisites
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Knowledge of differential and integral calculus and basic information from the theory of ordinary differential equations to the extent of the course KMA/ODR1.
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Assessment methods and criteria
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Oral exam
Credit: the student has to write a course work.
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Recommended literature
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K. J. Palmer. Bifurcations, chaos and fractals (článek).
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M. F. Barnsley. (1993). Fractals everywhere. Boston, MA: Academic Press Professional. xiv.
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