Search results for: S-unimodal map

• Ecological Chemistry and Engineering S - Chemia i Inżynieria Ekologiczna S

  Journals

  ISSN: 1898-6196 , eISSN: 2084-4549

• 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...

• Analysis of dynamics of a map-based neuron model via Lorenz maps

  Publication

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

  - CHAOS - Year 2024

  Modeling nerve cells can facilitate formulating hypotheses about their real behavior and improve understanding of their functioning. In this paper, we study a discrete neuron model introduced by Courbage et al. [Chaos 17, 043109 (2007)], where the originally piecewise linear function defining voltage dynamics is replaced by a cubic polynomial, with an additional parameter responsible for varying the slope. Showing that on a large...

  Full text available to download

• Shub’s conjecture for smooth longitudinal maps of S^m

  Publication

  • G. Graff
  • M. Misiurewicz
  • P. Nowak-Przygodzki

  - JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS - Year 2018

  Let f be a smooth map of the m-dimensional sphere Sm to itself, preserving the longitudinal foliation. We estimate from below the number of fixed points of the iterates of f , reduce Shub’s conjecture for longitudinal maps to a lower dimensional classical version, and prove the conjecture in case m = 2 and in a weak form for m = 3.

  Full text to download in external service

• Minimal number of periodic points for smooth self-maps of S^3

  Publication

  • G. Graff
  • J. Jezierski

  - FUNDAMENTA MATHEMATICAE - Year 2009

  W pracy wyznaczona została najmniejsza liczba punktów periodycznych w gładkiej klasie homotopii odwzorowania sfery trójwymiarowej w siebie.

  Full text to download in external service

• 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.

• Feminismo/s

  Journals

  ISSN: 1696-8166

• Bresil-s

  Journals

  ISSN: 2257-0543 , eISSN: 2425-231X

• Feminismo-s

  Journals

  eISSN: 1989-9998