Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

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Topological and numerical methods in dynamical systems

2021/41/B/ST1/00405

Keywords:

dynamical systems rigorous numerical methods computational topology Conley index

Descriptors:

  • ST1_010:
  • ST1_006:
  • ST1_016:

Panel:

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

Host institution :

Politechnika Gdańska, Wydział Fizyki Technicznej i Matematyki Stosowanej

woj. pomorskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr hab. Paweł Pilarczyk 

Number of co-investigators in the project: 2

Call: OPUS 21 - announced on 2021-03-15

Amount awarded: 376 370 PLN

Project start date (Y-m-d): 2022-01-13

Project end date (Y-m-d): 2025-10-12

Project duration:: 45 months (the same as in the proposal)

Project status: Pending project

Project description

Download the project description in a pdf file

Note - project descriptions were prepared by the authors of the applications themselves and placed in the system in an unchanged form.

Information in the final report

  • Publication in academic press/journals (5)
  1. Topological-numerical analysis of a two-dimensional discrete neuron model
    Authors:
    P. Pilarczyk, J. Signerska-Rynkowska, G. Graff
    Academic press:
    Chaos (rok: 2023, tom: 33, strony: 43110), Wydawca: AIP Publishing
    Status:
    Published
    DOI:
    10.1063/5.0129859 - link to the publication
  2. Topological-numerical analysis of a two-dimensional discrete neuron model
    Authors:
    P. Pilarczyk, J. Signerska-Rynkowska, G. Graff
    Academic press:
    Chaos (rok: 2023, tom: 33, strony: 43110), Wydawca: AIP Publishing
    Status:
    Published
    DOI:
    10.1063/5.0129859 - link to the publication
  3. Differentiating patients with obstructive sleep apnea from healthy controls based on heart rate–blood pressure coupling quantified by entropy-based indices
    Authors:
    P. Pilarczyk, G. Graff, J.M. Amigó, K. Tessmer, K. Narkiewicz, B. Graff
    Academic press:
    Chaos (rok: 2023, tom: 33, strony: 103140), Wydawca: AIP Publishing
    Status:
    Published
    DOI:
    10.1063/5.0158923 - link to the publication
  4. An absorbing set for the Chialvo map
    Authors:
    P. Pilarczyk, G. Graff
    Academic press:
    Communications in Nonlinear Science and Numerical Simulation (rok: 2024, tom: 132, strony: 107947), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.cnsns.2024.107947 - link to the publication
  5. Differentiating patients with obstructive sleep apnea from healthy controls based on heart rate–blood pressure coupling quantified by entropy-based indices
    Authors:
    P. Pilarczyk, G. Graff, J.M. Amigó, K. Tessmer, K. Narkiewicz, B. Graff
    Academic press:
    Chaos (rok: 2023, tom: 33, strony: 103140), Wydawca: AIP Publishing
    Status:
    Published
    DOI:
    10.1063/5.0158923 - link to the publication

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