Challenges of low-dimensional dynamics in hybrid neuron models.
2019/35/D/ST1/02253
Keywords
Descriptors
- ST1_010: Równania różniczkowe zwyczajne i układy dynamiczne
- ST1_017: Matematyka stosowana
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
Voivodeship: pomorskie
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
- 2020-06-25
- Project end date
- 2025-12-24
- Project duration
- 66 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 (7)
-
Analysis of dynamics of a map-based neuron model via Lorenz maps
- Authors:
- Piotr Bartłomiejczyk, Frank Llovera Trujillo, Justyna Signerska-Rynkowska
- Academic press:
- Chaos: An Interdisciplinary Journal of Nonlinear Science (year: 2024, volume: 34, pages: 43110), Publisher: AIP Publishing
- Status:
- Published
- DOI:
- 10.1063/5.0188464 – link to the publication
-
Testing topological conjugacy of time series
- Authors:
- Paweł Dłotko, Michał Lipiński, Justyna Signerska-Rynkowska
- Academic press:
- SIAM Journal on Applied Dynamical Systems (year: 2024, volume: 23, pages: 2939-2982), Publisher: Society for Industrial and Applied Mathematics
- Status:
- Published
- DOI:
- 10.1137/23M1594728 – link to the publication
-
Curlicues generated by circle homeomorphisms
- Authors:
- Justyna Signerska-Rynkowska
- Academic press:
- Geometriae Dedicata (year: 2022, volume: 216, pages: nie dotyczy), Publisher: Springer
- Status:
- Published
- DOI:
- 10.1007/s10711-022-00676-9 – link to the publication
-
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. (year: 2021, volume: 20, pages: 953-980), Publisher: SIAM (Society for Industrial and Applied Mathematics)
- Status:
- Published
- DOI:
- 10.1137/20M1354970 – link to the publication
-
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 (year: 2023, volume: 46, pages: 11906–11931), Publisher: John Wiley & Sons
- Status:
- Published
- DOI:
- 10.1002/mma.9118 – link to the publication
-
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 (year: 2023, volume: 33, pages: 43110), Publisher: AIP Publishing
- Status:
- Published
- DOI:
- 10.1063/5.0129859 – link to the publication
-
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 (year: 2023, volume: 33, pages: 395 - 408), Publisher: University of Zielona Góra
- Status:
- Published
- DOI:
- 10.34768/amcs-2023-0028 – link to the publication