Combinatorial multivalued dynamics for finite topological spaces.
2018/29/N/ST1/00449
Keywords
Descriptors
- ST1_6: Topologia
- ST1_10: Równania różniczkowe zwyczajne i układy dynamiczne
- ST6_12: Obliczenia naukowe, narzędzia modelowania i symulacji
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
Voivodeship: małopolskie
Principal investigator (from the host institution)
Number of co-investigators in the project: 2
Call
PRELUDIUM 15 – announced on 2018-03-15
- Amount awarded
- 90 841 PLN
- Project start date
- 2019-02-18
- Project end date
- 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]
- Tablet. Cost: 5 000 PLN
Information in the final report
Publication in academic press/journals (2)
-
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 (year: 2022, volume: 1, pages: 1--46), Publisher: Springer
- Status:
- Published
- DOI:
- 10.1007/s41468-022-00102-9 – link to the publication
-
Rigorous computation in dynamics based on topological methods for multivector fields
- Authors:
- Donald Woukeng, Damian Sadowski, Jakub Leśkiewicz, Michał Lipiński, Tomasz Kapela
- Status:
- Accepted for publication
Articles in post-conference publications (1)
-
Tracking Dynamical Features via Continuation and Persistence
- Authors:
- Tamal Dey, Michał Lipiński, Marian Mrozek, Ryan Slechta
- Conference:
- 38th International Symposium on Computational Geometry (year: 2022, pages: 35:1-35:17), Publisher: Schloss Dagstuhl-Leibniz-Zentrum für Informatik
- Date:
- conference 07-10.06
- Status:
- Published