Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

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

2011/01/N/ST1/02698

Keywords:

dynamics of spiking neuron models rotation numbers and sets homeomorphisms and maps of the circle almost periodic functions displacement sequence along the orbit

Descriptors:

  • ST1_10: Ordinary differential equations and dynamical systems
  • ST1_18: Control theory and optimisation

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 PAN

woj. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr Justyna 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 (Y-m-d): 2011-12-09

Project end date (Y-m-d): 2013-12-08

Project duration:: 24 months (the same as in the proposal)

Project status: Project settled

Equipment purchased [PL]

  1. drukarka (1 500 PLN)
  2. komputer-laptop (4 500 PLN)

Information in the final report

  • Publication in academic press/journals (5)
  • Articles in post-conference publications (1)
  1. Distribution of the displacement sequence of an orientation preserving circle homeomorphism
    Authors:
    Wacław Marzantowicz, Justyna Signerska
    Academic press:
    Dynamical Systems: An International Journal (rok: 2014, tom: 29, strony: 153–166), Wydawca: Taylor & Francis
    Status:
    Published
    DOI:
    10.1080/14689367.2013.868867 - link to the publication
  2. 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 (rok: 2012, tom: 159, strony: 2728–2735), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.topol.2012.03.011 - link to the publication
  3. 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 (rok: 2015, tom: 15, strony: 11994), Wydawca: Jyoti Academic Press
    Status:
    Published
    DOI:
    nie - link to the publication
  4. On the interspike-intervals of periodically-driven integrate- and-fire models
    Authors:
    Wacław Marzantowicz, Justyna Signerska
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2015, tom: 423, strony: 456–479), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.013 - link to the publication
  5. Integrate-and-fire models with an almost periodic input function
    Authors:
    Justyna Signerska
    Academic press:
    Functiones et Approximatio (rok: 2014, tom: nie dotyczy, strony: nie dotyczy), Wydawca: Uniwersytet im. Adama Mickiewicza w Poznaniu
    Status:
    Submitted
    DOI:
    nie - link to the publication
  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 (rok: 2012, ), Wydawca: Gdańsk University of Technology
    Data:
    konferencja 23-27.09.2012
    Status:
    Published

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