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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Direct method dedicated to search first integrals of homogeneous Hamiltonian systems

2016/21/N/ST1/02477

Keywords:

Hamiltonian systems first integrals integrability superintegrability direct method for searching first integrals

Descriptors:

  • ST1_12: Mathematical methods of physics
  • ST1_10: Ordinary differential equations and dynamical systems

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

woj. lubuskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr Wojciech Szumiński 

Number of co-investigators in the project: 2

Call: PRELUDIUM 11 - announced on 2016-03-15

Amount awarded: 77 000 PLN

Project start date (Y-m-d): 2017-03-20

Project end date (Y-m-d): 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]

  1. Komputer stacjonarny (7 750 PLN)
  2. Laptop (8 000 PLN)

Information in the final report

  • Publication in academic press/journals (9)
  1. Differential Galois integrability obstructions for nonlinear three-dimensional differential systems
    Authors:
    Wojciech Szumiński, Maria Przybylska
    Academic press:
    Chaos (rok: 2020, tom: 30, strony: 13135), Wydawca: AIP Publishing
    Status:
    Published
    DOI:
    10.1063/1.5128587 - link to the publication
  2. 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 (rok: 2020, tom: 101, strony: 45304), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11071-020-05726-z - link to the publication
  3. 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 (rok: 2020, tom: 83, strony: 105099), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.cnsns.2019.105099 - link to the publication
  4. Integrability analysis of chaotic and hyperchaotic finance systems
    Authors:
    Wojciech Szumiński
    Academic press:
    Nonlinear Dynamics (rok: 2018, tom: 94, strony: 443-459), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11071-018-4370-3 - link to the publication
  5. 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 (rok: 2018, tom: 82, strony: 132-139), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.aml.2018.02.009 - link to the publication
  6. 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 (rok: 2021, tom: 104, strony: 45299), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11071-021-06325-2 - link to the publication
  7. On certain integrable and superintegrable weight-homogeneous Hamiltonian systems
    Authors:
    Wojciech Szumiński
    Academic press:
    Communications in Nonlinear Science and Numerical Simulation (rok: 2019, tom: 67, strony: 600-616), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.cnsns.2018.06.030 - link to the publication
  8. On the integrability of certain Hamiltonian systems in 2D variable curvature spaces
    Authors:
    A. A. Elmandouh, W. Szumiński
    Academic press:
    Communications in Nonlinear Science and Numerical Simulation (), Wydawca: Elsevier
    Status:
    Submitted
    DOI:
    brak - link to the publication
  9. Integrability analysis of natural Hamiltonian systems in curved spaces
    Authors:
    Wojciech Szumiński
    Academic press:
    Communications in Nonlinear Science and Numerical Simulation (rok: 2018, tom: 64, strony: 246-255), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.cnsns.2018.04.023 - link to the publication

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