Direct method dedicated to search first integrals of homogeneous Hamiltonian systems
2016/21/N/ST1/02477
Keywords
Descriptors
- ST1_12: Fizyka matematyczna
- ST1_10: Równania różniczkowe zwyczajne i układy dynamiczne
Panel
ST1 – Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics
Host institution
Uniwersytet Zielonogórski, Wydział Fizyki i Astronomii
Voivodeship: lubuskie
Principal investigator (from the host institution)
Number of co-investigators in the project: 2
Call
PRELUDIUM 11 – announced on 2016-03-15
- Amount awarded
- 77 000 PLN
- Project start date
- 2017-03-20
- Project end date
- 2020-03-19
- Project duration
- 36 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]
- Komputer stacjonarny. Cost: 7 750 PLN
- Laptop. Cost: 8 000 PLN
Information in the final report
Publication in academic press/journals (8)
-
On certain integrable and superintegrable weight-homogeneous Hamiltonian systems
- Authors:
- Wojciech Szumiński
- Academic press:
- Communications in Nonlinear Science and Numerical Simulation (year: 2019, volume: 67, pages: 600-616), Publisher: Elsevier
- Status:
- Published
- DOI:
- 10.1016/j.cnsns.2018.06.030 – link to the publication
-
Integrability analysis of natural Hamiltonian systems in curved spaces
- Authors:
- Wojciech Szumiński
- Academic press:
- Communications in Nonlinear Science and Numerical Simulation (year: 2018, volume: 64, pages: 246-255), Publisher: Elsevier
- Status:
- Published
- DOI:
- 10.1016/j.cnsns.2018.04.023 – link to the publication
-
Integrability analysis of chaotic and hyperchaotic finance systems
- Authors:
- Wojciech Szumiński
- Academic press:
- Nonlinear Dynamics (year: 2018, volume: 94, pages: 443-459), Publisher: Springer
- Status:
- Published
- DOI:
- 10.1007/s11071-018-4370-3 – link to the publication
-
Comment on ,,On the integrability of 2D Hamiltonian systems with variable Gaussian curvature by A. A. Elmandouh
- Authors:
- Wojciech Szumiński, Andrzej Maciejewski
- Academic press:
- Nonlinear Dynamics (year: 2021, volume: 104, pages: 46030), Publisher: Springer
- Status:
- Published
- DOI:
- 10.1007/s11071-021-06325-2 – link to the publication
-
Dynamics and integrability analysis of two pendulums coupled by a spring
- Authors:
- Wojciech Szumiński, Dariusz Woźniak
- Academic press:
- Communications in Nonlinear Science and Numerical Simulation (year: 2020, volume: 83, pages: 105099), Publisher: Elsevier
- Status:
- Published
- DOI:
- 10.1016/j.cnsns.2019.105099 – link to the publication
-
Comment on ,,Hyperchaos in constrained Hamiltonian system and its control by J. Li, H. Wu and F. Mei
- Authors:
- Wojciech Szumiński, Maria Przybylska, Andrzej Maciejewski
- Academic press:
- Nonlinear Dynamics (year: 2020, volume: 101, pages: 46035), Publisher: Springer
- Status:
- Published
- DOI:
- 10.1007/s11071-020-05726-z – link to the publication
-
Non-integrability of the semiclassical Jaynes–Cummings models without the rotating-wave approximation
- Authors:
- Andrzej J. Maciejewski i Wojciech Szumiński
- Academic press:
- Applied Mathematics Letters (year: 2018, volume: 82, pages: 132-139), Publisher: Elsevier
- Status:
- Published
- DOI:
- 10.1016/j.aml.2018.02.009 – link to the publication
-
Differential Galois integrability obstructions for nonlinear three-dimensional differential systems
- Authors:
- Wojciech Szumiński, Maria Przybylska
- Academic press:
- Chaos (year: 2020, volume: 30, pages: 13135), Publisher: AIP Publishing
- Status:
- Published
- DOI:
- 10.1063/1.5128587 – link to the publication