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Laboratory of Synergetics, Faculty of Mechanical Engineering, University of Ljubljana

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    • Edvard Govekar
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Chaotic dynamics

Edvard Govekar, prof.
E: edvard.govekar@fs.uni-lj.si
T: +386 1 4771-606

Course description | Course materials | Practical examples | Exam | Homeworks | Seminar


Course description

  1. Introduction
  2. 1D Systems and Bifurcations
  3. 2D Systems and Bifurcations
  4. 3D-Chaotic systems
  5. Universality of Chaos
  6. Chaos and Fractals
  7. Characterization of Chaos


Course materials

PDF downloadDescription
CD-00-13.pdf0. Study Organisation
CD-01-13.pdf1. Introduction
CD-02-13.pdf2. 1D-Systems: Flows on the Line
CD-03-13.pdf3. 1D-Bifurcation
CD-04-13.pdf4. 2D-Linear Systems
CD-05-13.pdf5. 2D-Nonlinear Systems
/6. (left blank due to aggregation)
CD-07-13.pdf7. 2D-Bifurcation & Poincare Map
CD-08-13.pdf8. 3D Systems and Chaos
CD-09-13.pdf9. Chaotic Dynamics
CD-10-13.pdf10. Logistic Map & Universality
CD-11-13.pdf11. Chaos & Fractals


Practical Examples and Homeworks (MATLAB)

slopefield1D
2Dvectorfield
LimitCycle
Poincare Section
Lorenz
Logistic Cobweb
Orbit Diagram
Lyapunov exponent


Exam

Examination results are summarized in the following PDF file:
CD-Students_Final_Marks-NoN-11.pdf
Use standard password to open file, and your code to get your result.


Homeworks (MATLAB)


Seminar

Download the materials to complete your seminar:
  • Template for your seminar proposal in DOC or PDF format: Seminar_proposal.doc | Seminar_proposal.pdf
  • Seminar topics: Seminar_topics.pdf
  • Matlab code: Seminar_code.zip

  • Slovensko
  • English

Novice

  • PhD research position available (2025)
  • European Twinning project on additive technologies
  • New metal 3D printer
  • Laboratory research has been ranked among the most outstanding achievements UL in 2018
  • Cooperation with DMG MORI
  • Silver Award at the Forma Tool 2013 fair in Celje

Links

  • Fakulteta za strojništvo
  • Univerza v Ljubljani

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