ITF studiju kursi 2023/2024

Modeling of chaotic processes (Haotisku procesu modelēšana)

Pieteikties

10:40-12:10

Trešdiena

10.02.2025. - 15.06.2025.

120

Profesionālā bakalaura

3

A205

Juris Žagars

APRAKSTS

The basic ideas of the course are presented through the analysis of one-dimensional iterative circuits in situations where their behaviour becomes chaotic. Fractals, attractors, bifurcations and other chaos quantities are explained. The knowledge gained will be applied to the understanding of chaotic cryptography techniques, fractal compression of digital images and the basic ideas of modelling chaotic objects and processes.


SATURS

"1. Continuous and discrete modelling 

2. World predictability 

3. Butterfly effect 

4. Periodic trajectories 

5. Logistical and tent scheme 

6. Bifurcations of the logistic scheme 

7. The fractal dimension 

8. Chaos in continuous systems 

9. Chaos in oscillating systems 

10. Van der Pohl oscillator 

11. Chaotic encryption of signals

12. Chaos formation scenarios 

13. Static (object) modelling 

14. Dynamic (process) modelling 

15. Image fractal compression"


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