Properties of dynamical systems used in mathematical modelling of neurons activity and electrical circuits

2011/01/N/ST1/02698

Keywords

Descriptors

  • ST1_10: Równania różniczkowe zwyczajne i układy dynamiczne
  • ST1_18: Zastosowania matematyki w innych naukach

Panel

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

Host institution

Instytut Matematyczny Polskiej Akademii Nauk

Voivodeship: mazowieckie

Other projects carried out by the institution »

Principal investigator (from the host institution)

dr Justyna Hanna Signerska

Number of co-investigators in the project: 2

Call

PRELUDIUM 1 – announced on 2011-03-15

Amount awarded
64 000 PLN
Project start date
2011-12-09
Project end date
2013-12-08
Project duration
24 months (the same as in the proposal)
Project status
Project settled

Equipment purchased [PL]

  1. drukarka. Cost: 1 500 PLN
  2. komputer-laptop. Cost: 4 500 PLN

Information in the final report

Publication in academic press/journals (4)

  1. Lefschetz periodic point free self-maps of compact manifolds

    Authors:
    Grzegorz Graff, Agnieszka Kaczkowska, Piotr Nowak-Przygodzki, Justyna Signerska
    Academic press:
    Topology and its Applications (year: 2012, volume: 159, pages: 2728–2735), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.topol.2012.03.011 – link to the publication
  2. Distribution of the displacement sequence of an orientation preserving circle homeomorphism

    Authors:
    Wacław Marzantowicz, Justyna Signerska
    Academic press:
    Dynamical Systems: An International Journal (year: 2014, volume: 29, pages: 153–166), Publisher: Taylor & Francis
    Status:
    Published
    DOI:
    10.1080/14689367.2013.868867 – link to the publication
  3. On the interspike-intervals of periodically-driven integrate- and-fire models

    Authors:
    Wacław Marzantowicz, Justyna Signerska
    Academic press:
    Journal of Mathematical Analysis and Applications (year: 2015, volume: 423, pages: 456–479), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2014.10.013 – link to the publication
  4. On the regularity of the displacement sequence of an orientation preserving circle homeomorphism

    Authors:
    Wacław Marzantowicz, Justyna Signerska
    Academic press:
    Research and Communications in Mathematics and Mathematical Sciences (year: 2015, volume: 15, pages: 11994), Publisher: Jyoti Academic Press
    Status:
    Published

Articles in post-conference publications (1)

  1. Firing map for periodically and almost-periodically driven integrate-and-fire models: a dynamical systems approach

    Authors:
    Justyna Signerska
    Conference:
    Krajowa Konferencja Zastosowań Matematyki w Biologii i Medycynie (year: 2012, pages: 119-124), Publisher: Gdańsk University of Technology
    Date:
    conference 23-27.09.2012
    Status:
    Published

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Graphic design and implementation: Jakub Piotrowski