Search results for: S-unimodal map

• Dynamics of S-unimodal maps used in population modeling.

  Open Research Data

  open access

  • Z. Kontna
  • J. Signerska-Rynkowska
  • G. Graff

  S-unimodal maps are maps of the interval with negative Schwarzian derivative and having only one turning point (such that the map is increasing to the left of the turning point and decreasing to the right of it). Theory of S-unimodal maps is now a well-developed branch of discrete dynamical systems, including famous Singer theorem which implies existence...

• Uniform expansion estimates in the unimodal map with γ=1.5 as a function of the parameter

  Open Research Data

  open access

  • P. Pilarczyk

  - series: Uniform expansion estimates in one-dimensional dynamics

  This dataset contains selected results of numerical computations described in the paper "Quantitative hyperbolicity estimates in one-dimensional dynamics" by S. Day, H. Kokubu, S. Luzzatto, K. Mischaikow, H. Oka, P. Pilarczyk, published in Nonlinearity, Vol. 21, No. 9 (2008), 1967-1987, doi: 10.1088/0951-7715/21/9/002.

• Uniform expansion estimates in the unimodal map with γ=2.5 as a function of the parameter

  Open Research Data

  open access

  • P. Pilarczyk

  - series: Uniform expansion estimates in one-dimensional dynamics

  This dataset contains selected results of numerical computations described in the paper "Quantitative hyperbolicity estimates in one-dimensional dynamics" by S. Day, H. Kokubu, S. Luzzatto, K. Mischaikow, H. Oka, P. Pilarczyk, published in Nonlinearity, Vol. 21, No. 9 (2008), 1967-1987, doi: 10.1088/0951-7715/21/9/002.

• Periodic and chaotic dynamics in a map‐based neuron model

  Publication

  • F. Llovera Trujillo
  • J. Signerska-Rynkowska
  • P. Bartłomiejczyk

  - MATHEMATICAL METHODS IN THE APPLIED SCIENCES - Year 2023

  Map-based neuron models are an important tool in modeling neural dynamics and sometimes can be considered as an alternative to usually computationally costlier models based on continuous or hybrid dynamical systems. However, due to their discrete nature, rigorous mathematical analysis might be challenging. We study a discrete model of neuronal dynamics introduced by Chialvo in 1995. In particular, we show that its reduced one-dimensional...

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• Parameter values for topological chaos in the reduced Chialvo model

  Open Research Data

  open access

  • F. Llovera
  • P. Bartłomiejczyk
  • J. Signerska-Rynkowska

  The following dataset is connected with a map-based neuron model introduced by D. Chialvo (Chaos, Solitons & Fractals, 5 (3-4) 1995). The reduced version of this model is a one dimensional discrete system which describes the evolution of the membrane voltage when the value of the second variable, the recovery variable, is fixed. We have recently...

• Aleksandra Giełdoń - Paszek dr hab.

  People

  Doktor habilitowany w dziedzinie nauk o sztuce, historyk sztuki. Studiowała historię sztuki na Wydziale Filozoficzno-Historycznym Uniwersytetu Jagiellońskiego w Krakowie. W roku 2002 na Wydziale Historycznym tejże uczelni uzyskała tytuł doktora nauk humanistycznych w zakresie nauk o sztuce na podstawie dysertacji: Malarstwo pejzażowe a szkolnictwo artystyczne w Polsce (do 1939 roku). W roku 2015 została doktorem habilitowanym w...