LASIN - Laboratory of Synergetics

University of Ljubljana | Faculty of Mechanical Engineering

Chaotic Dynamics

Lecturer:   Edvard Govekar, assoc. prof.
e-mail:edvard.govekar@fs.uni-lj.si
tel.:+386 1 4771-606

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

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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
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Course materials

PDF downloadDescription
CD-00.pdf0. Study Organisation
CD-01.pdf1. Introduction
CD-02.pdf2. 1D-systems: Flows on the line
CD-03.pdf3. 1D-Bifurcation
CD-04.pdf4. 2D-Linear systems
CD-05.pdf5. 2D-Nonlinear systems-I
CD-06.pdf6. 2D-Nonlinear systems-II
CD-07.pdf7. 2D-Nonlinear systems-III
CD-08.pdf8. 2D-Bifurcation
CD-09.pdf9. Poincare map
CD-10.pdf10. Lorenz Chaos
CD-11.pdf11. Logistic Map & Universality
CD-12.pdf12. Chaos & Fractals


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Practical Examples and Homeworks (MATLAB)

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

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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. -->

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Homeworks (MATLAB)


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Seminar

Download the materials to complete your seminar: