Topological and numerical methods in dynamical systems - Project - Bridge of Knowledge


Topological and numerical methods in dynamical systems

In the framework of the project, new mathematical methods for algorithmic analysis of dynamical systems will be developed, based on computational topology and rigorous numerical methods. Publications in high quality academic journals are planned, as well as active participation in national and international conferences, collaboration with domestic and foreign scientists (Spain, Italy, Japan), short-term visits of the participants of the project in other academic centers in Poland and abroad, as well as visits of invited scientists at Gdańsk Tech. A few months long scholarships for students are planned. It is expected that the scope of the undertaken activities will have positive influence on the image of Gdańsk Tech as a Research Institute.


Financial Program Name:
Narodowe Centrum Nauki (NCN) (National Science Centre)
UMO-2021/41/B/ST1/00405 z dnia 2021-11-26
Realisation period:
2021-11-26 - 2025-01-12
Project manager:
dr hab. Paweł Pilarczyk
Realised in:
Department of Differential Equations and Mathematical Applications
Request type:
National Research Programmes
Domestic project
Verified by:
Gdańsk University of Technology


total: 1

  • Category

  • Year

  • Options

clear Chosen catalog filters disabled

Catalog Projects

Year 2023

  • Topological-numerical analysis of a two-dimensional discrete neuron model

    We conduct computer-assisted analysis of a two-dimensional model of a neuron introduced by Chialvo in 1995 [Chaos, Solitons Fractals 5, 461–479]. We apply the method of rigorous analysis of global dynamics based on a set-oriented topological approach, introduced by Arai et al. in 2009 [SIAM J. Appl. Dyn. Syst. 8, 757–789] and improved and expanded afterward. Additionally, we introduce a new algorithm to analyze the return times...

    Full text to download in external service

seen 205 times