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Information of the project and the call

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Challenges of low-dimensional dynamics in hybrid neuron models.

2019/35/D/ST1/02253

Keywords:

rotation number mixed-mode oscillations hybrid dynamical systems spiking neuron models

Descriptors:

  • ST1_010:
  • ST1_017:

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

woj. pomorskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr Justyna Hanna Signerska-Rynkowska 

Number of co-investigators in the project: 2

Call: SONATA 15 - announced on 2019-09-16

Amount awarded: 258 360 PLN

Project start date (Y-m-d): 2020-06-25

Project end date (Y-m-d): 2025-06-24

Project duration:: 60 months (the same as in the proposal)

Project status: Project completed

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 (13)
  1. Spike patterns and chaos in a map-based neuron model
    Authors:
    Piotr Bartłomiejczyk, Llovera Llovera Trujillo, Justyna Signerska-Rynkowska
    Academic press:
    International Journal of Applied Mathematics and Computer Science (rok: 2023, tom: 33, strony: 395 - 408), Wydawca: University of Zielona Góra
    Status:
    Published
    DOI:
    10.34768/amcs-2023-0028 - link to the publication
  2. Curlicues generated by circle homeomorphisms
    Authors:
    Justyna Signerska-Rynkowska
    Academic press:
    Geometriae Dedicata (rok: 2022, tom: 216, strony: nie dotyczy), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10711-022-00676-9 - link to the publication
  3. Periodic and chaotic dynamics in a map-based neuron model
    Authors:
    Frank Llovera Trujillo, Justyna Signerska-Rynkowska, Piotr Bartłomiejczyk
    Academic press:
    Mathematical Methods in the Applied Sciences (rok: 2023, tom: bd, strony: bd), Wydawca: John Wiley & Sons Ltd
    Status:
    Published
    DOI:
    10.1002/mma.9118 - link to the publication
  4. Curlicues generated by circle homeomorphisms
    Authors:
    Justyna Signerska-Rynkowska
    Academic press:
    Geometriae Dedicata (rok: 2022, tom: 216, strony: nie dotyczy), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10711-022-00676-9 - link to the publication
  5. PERIODIC AND CHAOTIC DYNAMICS IN A MAP-BASED NEURON MODEL
    Authors:
    Frank Llovera Trujillo, Piotr Bartłomiejczyk, Justyna Signerska-Rynkowska
    Academic press:
    Mathematical Methods in the Applied Sciences (tom: nie dotyczy, strony: nie dotyczy), Wydawca: John Wiley & Sons Ltd
    Status:
    Submitted
  6. Periodic and chaotic dynamics in a map‐based neuron model
    Authors:
    Frank Llovera Trujillo, Justyna Signerska‐Rynkowska, Piotr Bartłomiejczyk
    Academic press:
    Mathematical Methods in the Applied Sciences (rok: 2023, tom: 46, strony: 11906–11931), Wydawca: John Wiley & Sons
    Status:
    Published
    DOI:
    10.1002/mma.9118 - link to the publication
  7. TOPOLOGICAL-NUMERICAL ANALYSIS OF A TWO-DIMENSIONAL DISCRETE NEURON MODEL
    Authors:
    Paweł Pilarczyk, Justyna Signerska-Rynkowska, Grzegorz Graff
    Academic press:
    Chaos: An Interdisciplinary Journal of Nonlinear Science (rok: 2023, tom: bd., strony: bd.), Wydawca: AIP Publishing
    Status:
    Submitted
  8. Type III responses to transient inputs in hybrid nonlinear neuron models
    Authors:
    Jonathan E. Rubin, Jonathan D. Touboul, Justyna Signerska-Rynkowska
    Academic press:
    SIAM J. Appl. Dyn. Syst. (rok: 2021, tom: 20, strony: 953-980), Wydawca: SIAM (Society for Industrial and Applied Mathematics)
    Status:
    Published
    DOI:
    10.1137/20M1354970 - link to the publication
  9. Type III responses to transient inputs in hybrid nonlinear neuron models
    Authors:
    Jonathan E. Rubin, Jonathan D. Touboul, Justyna Signerska-Rynkowska
    Academic press:
    SIAM J. Appl. Dyn. Syst. (rok: 2021, tom: 20, strony: 953-980), Wydawca: SIAM (Society for Industrial and Applied Mathematics)
    Status:
    Published
    DOI:
    10.1137/20M1354970 - link to the publication
  10. Type III responses to transient inputs in hybrid nonlinear neuron models
    Authors:
    Jonathan E. Rubin, Jonathan D. Touboul, Justyna Signerska-Rynkowska
    Academic press:
    SIAM J. Appl. Dyn. Syst. (rok: 2021, tom: 20, strony: 953-980), Wydawca: SIAM (Society for Industrial and Applied Mathematics)
    Status:
    Published
    DOI:
    10.1137/20M1354970 - link to the publication
  11. Topological-numerical analysis of a two-dimensional discrete neuron model
    Authors:
    Paweł Pilarczyk, Justyna Signerska-Rynkowska, Grzegorz Graff
    Academic press:
    Chaos: An Interdisciplinary Journal of Nonlinear Science (rok: 2023, tom: 33, strony: 43110), Wydawca: AIP Publishing
    Status:
    Published
    DOI:
    10.1063/5.0129859 - link to the publication
  12. Curlicues generated by circle homeomorphisms
    Authors:
    Justyna Signerska-Rynkowska
    Academic press:
    Geometriae Dedicata (rok: 2022, tom: 216, strony: nie dotyczy), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10711-022-00676-9 - link to the publication
  13. SPIKE PATTERNS AND CHAOS IN A MAP-BASED NEURON MODEL
    Authors:
    Piotr Bartłomiejczyk, Frank Llovera Trujillo, Justyna Signerska-Rynkowska
    Academic press:
    International Journal of Applied Mathematics and Computer Science (rok: 2023, tom: bd, strony: bd), Wydawca: University of Zielona Góra
    Status:
    Submitted

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