Projects funded by the NCN


Information on the principal investigator and host institution

Information of the project and the call

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Topological properties of attractors of iterated function systems.

2012/07/N/ST1/03551

Keywords:

iterated function system fractals chaos game

Descriptors:

  • ST1_6: Topology

Panel:

ST1 - Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics

Host institution :

Uniwersytet Jana Kochanowskiego w Kielcach, Wydział Matematyczno-Przyrodniczy

woj. świętokrzyskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr Magdalena Nowak 

Number of co-investigators in the project: 2

Call: PRELUDIUM 4 - announced on 2012-09-15

Amount awarded: 70 200 PLN

Project start date (Y-m-d): 2013-07-10

Project end date (Y-m-d): 2016-04-09

Project duration:: 33 months (the same as in the proposal)

Project status: Project settled

Information in the final report

  • Publication in academic press/journals (6)
  1. Comparison of genomes of Pseudomonas aeruginosa strains by using Chaos Game Representation
    Authors:
    Wiesław Kaca, Magdalena Nowak, Grzegorz Czerwonka
    Academic press:
    International Journal of Biomedical Data Mining (rok: 2018, tom: 0,292361111111111, strony: .), Wydawca: OMICS International
    Status:
    Published
    DOI:
    10.4172/2090-4924.1000132 - link to the publication
  2. Detecting topological and Banach fractals among zero-dimensional spaces
    Authors:
    Taras Banakh, Magdalena Nowak, Filip Strobin
    Academic press:
    Topology and its Applications (rok: 2015, tom: 196, strony: 22-30), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.topol.2015.09.003 - link to the publication
  3. The shark teeth is a topological IFS-attractor
    Authors:
    Magdalena Nowak, Tomasz Szarek
    Academic press:
    Siberian Mathematical Journal (rok: 2014, tom: 55 (2), strony: 296-300), Wydawca: Pleiades Publishing
    Status:
    Published
    DOI:
    10.1134/S0037446614020128 - link to the publication
  4. Contractive function systems, their attractors and metrization
    Authors:
    Taras Banakh, Wiesław Kubiś, Natalia Novosad, Magdalena Nowak, Filip Strobin
    Academic press:
    Topological Methods in Nonlinear Analysis (rok: 2015, tom: 46, strony: 1029–1066), Wydawca: Juliusz Schauder University Centre for Nonlinear Studies
    Status:
    Published
    DOI:
    10.12775/TMNA.2015.076 - link to the publication
  5. Counterexamples for IFS-attractors
    Authors:
    Magdalena Nowak, Manuel Fernández-Martínez
    Academic press:
    Chaos, Solitons & Fractals (rok: 2016, tom: 89, strony: 316-321), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.chaos.2015.12.006 - link to the publication
  6. Counterexamples in theory of fractal dimension for fractal structures
    Authors:
    Manuel Fernández-Martínez, Magdalena Nowak, Miguel Angel Sánchez-Granero
    Academic press:
    Chaos, Solitons & Fractals (rok: 2016, tom: 89, strony: 210-223), Wydawca: Elsevier
    Status:
    Published