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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Combinatorial multivalued dynamics for finite topological spaces.

2018/29/N/ST1/00449

Keywords:

combinatorial dynamics multivectors finite topological spaces Morse decomposition Conley index

Descriptors:

  • ST1_6: Topology
  • ST1_10: Ordinary differential equations and dynamical systems
  • ST6_12: Scientific computing, simulation and modelling tools

Panel:

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

Host institution :

Uniwersytet Jagielloński, Wydział Matematyki i Informatyki

woj. małopolskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

Michał Lipiński 

Number of co-investigators in the project: 2

Call: PRELUDIUM 15 - announced on 2018-03-15

Amount awarded: 90 841 PLN

Project start date (Y-m-d): 2019-02-18

Project end date (Y-m-d): 2023-02-17

Project duration:: 48 months (the same as in the proposal)

Project status: Project settled

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.

Equipment purchased [PL]

  1. Tablet (5 000 PLN)

Information in the final report

  • Publication in academic press/journals (3)
  • Articles in post-conference publications (1)
  1. Conley-Morse-Forman theory for generalized combinatorial multivector fields on finite topological spaces
    Authors:
    Michał Lipiński, Jacek Kubica, Marian Mrozek, Thomas Wanner
    Academic press:
    Journal of Applied and Computational Topology (rok: 2022, tom: 1, strony: 1--46), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s41468-022-00102-9 - link to the publication
  2. Rigorous computation in dynamics based on topological methods for multivector fields
    Authors:
    Donald Woukeng, Damian Sadowski, Jakub Leśkiewicz, Michał Lipiński, Tomasz Kapela
    Academic press:
    Journal of Applied and Computational Topology , Wydawca: Springer
    Status:
    Accepted for publication
    DOI:
    brak - link to the publication
  3. Computing Connection Matrices via Persistence-like Reductions
    Authors:
    Tamal Dey, Michał Lipiński, Marian Mrozek, Ryan Slechta
    Academic press:
    SIAM Journal on Applied Dynamical Systems , Wydawca: Society of Industrial and Applied Mathematics
    Status:
    Submitted
    DOI:
    10.48550/arXiv.2303.02549 - link to the publication
  1. Tracking Dynamical Features via Continuation and Persistence
    Authors:
    Tamal Dey, Michał Lipiński, Marian Mrozek, Ryan Slechta
    Conference:
    38th International Symposium on Computational Geometry (rok: 2022, ), Wydawca: Schloss Dagstuhl-Leibniz-Zentrum für Informatik
    Data:
    konferencja 07-10.06
    Status:
    Published

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