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

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  • Teaching
    • Random phenomena
    • Random phenomena (TRIBOS)
    • Chaotic dynamics
    • Empirical Modelling and Characterisation of Processes
    • Neural networks
    • Synergetics
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  • Scientific research
  • Industrial solutions
  • Staff members
    • Edvard Govekar
    • Igor Grabec
    • Primož Potočnik
    • Andrej Jeromen
    • Jaka Peternel
    • Jaka Simončič
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Synergetics

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


Course description

  1. Introduction: goals and purposes of synergetics, some typical problems and examples.
  2. Probability: sample space, random variables, probability, random variables, probability distributions, expectation and moments, random processes, empirical estimation, empirical modeling.
  3. Information: information entropy, principle of maximal entropy, estimation of probability distribution from empirical data.
  4. Chance: model of Brownian movement, master equation, Markov processes, fluctuations.
  5. Necessity: dynamic processes, critical points, limit cycles, stability, bifurcations.
  6. Chance and necessity: Langevin equations, Fokker-Planck equation, phase transition analogy.
  7. Self-organization: organization, self-organization, the role of fluctuations and order parameters, ordered structures and patterns.
  8. Physical systems: lasers, instabilities in fluid dynamics, elastic stability, instabilities in mechanical processes, reaction and population instabilities.
  9. Deterministic chaos: nonlinear dynamic systems, phase space, attractors, Fourier spectrum, Poincare mapping, ways to chaos, period dubling, bifurcation diagrams, transient chaos, conservative chaos, Lyapunov exponents, fractal dimension, modeling and prediction of chaotic time series.
  10. Automatic modeling of natural phenomena: inteligent self-organizing systems, neural networks, optimal estimators, control of technical processes.

  • 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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