FPF:UFPF503 Introduction to deterministic - Course Information
UFPF503 Introduction to deterministic chaos
Faculty of Philosophy and Science in OpavaSummer 2021
- Extent and Intensity
- 2/1/0. 5 credit(s). Type of Completion: zk (examination).
- Teacher(s)
- RNDr. Martin Kološ, Ph.D. (lecturer)
doc. RNDr. Jiří Kovář, Ph.D. (lecturer)
RNDr. Martin Kološ, Ph.D. (seminar tutor)
doc. RNDr. Jiří Kovář, Ph.D. (seminar tutor) - Guaranteed by
- doc. RNDr. Jiří Kovář, Ph.D.
Centrum interdisciplinárních studií – Faculty of Philosophy and Science in Opava - Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Computational Physics (programme FPF, N1701 Fyz)
- Course objectives
- The theory of nonlinear dynamics or chaos has been developed explosively in recent years and has wide application in all areas of physics and computer science. The aim of the course is to present basic knowledge of deterministic chaos and dynamical systems in general. An introduction to mathematical concepts and techniques will be given and demonstrated in Mathematica - Wolfram Research software system.
- Syllabus
- 1. Dynamical systems - history and motivation, Wolfram Mathematica software
2. Series of numbers, logistic map, bifurcation
3. Fractals and fractal dimension
4. Differential equations, phase space, numerical solution, NDSolve function
5. Hamiltonian formalism, motion in effective potential
6. Oscillators, Harmonic analysis
7. Poincare surface of section, Recurrence plot, Lyapunov exponent
8. Two and three body problem
9. Solar system stability
10. Analysis of time series
- 1. Dynamical systems - history and motivation, Wolfram Mathematica software
- Language of instruction
- Czech
- Further comments (probably available only in Czech)
- The course can also be completed outside the examination period.
- Teacher's information
- * active participation in seminars
* solved homework tasks
* written test - success rate 70%
- Enrolment Statistics (Summer 2021, recent)
- Permalink: https://is.slu.cz/course/fpf/summer2021/UFPF503