UFPF503 Introduction to deterministic chaos

Faculty of Philosophy and Science in Opava
Summer 2020
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
Timetable
Mon 9:45–11:20 404
  • Timetable of Seminar Groups:
UFPF503/A: Mon 11:25–12:10 404, M. Kološ
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
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
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%
The course is also listed under the following terms Summer 2014, Summer 2015, Summer 2016, Summer 2017, Summer 2018, Summer 2019, Summer 2021, Summer 2022, Summer 2023.
  • Enrolment Statistics (Summer 2020, recent)
  • Permalink: https://is.slu.cz/course/fpf/summer2020/UFPF503