Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

Delete all

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. 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
  2. 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
  3. 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
  4. 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
  5. 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
  6. 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
  7. 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
  8. 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
  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

O Narodowym Centrum Nauki

Finansowanie nauki

Współpraca zagraniczna

Centrum prasowe

Deklaracja dostępności
Przetwarzanie danych osobowych
Polityka cookies

Partnerzy