This year we encourage everyone to present talks on the following topics:

• Basics of fractal geometry. Classical fractals and self-similarity. Iterated function systems. Coding and fractal image compression. Randomness in fractal constructions. [1][2][3][5]
  
• Hausdorff-Besicovitch fractal dimension. Fractal and topological dimension. Hausdorff dimension of a trajectory of a fractional Wiener process. [4][5]
  
• Julia-Fatou sets. Mandelbrot set. [4][5][1]
  
• Discrete dynamical systems, connection with fractal geometry. Feigenbaum bifurcations. Szarkowski order. Henon and Rossler attractors. [7][1][5][6][8][9]
  
• Strange attractors. Lorentz system. Poincare-Bendixson theorem. [7][1][5][6][8][9]

Literature:
[1] J.Kudrewicz - Fraktale i chaos [Fractals & Chaos].
[2] Peitgen, Jurgens, Saupe - Granice chaosu-Fraktale t. I i II [Borders of Chaos - Fractals, tomes I and II]
[3] Peitgen, Jurgens, Saupe - Chaos and fractals - The new frontiers of science.
[4] G.A.Edgar – Measure, Topology, and Fractal Geometry.
[5] M.F.Barnsley - Fractals Everywhere.
[6] E.Ott - Chaos w układach dynamicznych. [Chaos in dynamical systems]
[7] R.A.Holmgren - A First Course in Discrete Dynamical Systems.
[8] H.Amann - Ordinary Differential Equations.
[9] J.Palis, W.De Melo - Geometric Theory of Dynamical Systems.