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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Application of differential Galois theory to integrability studies of nonlinear dynamical systems

2013/09/B/ST1/04130

Keywords:

integrability nonintegrability differential Galois theory residue calculus

Descriptors:

  • ST1_12: Mathematical methods of physics
  • ST1_10: Ordinary differential equations and dynamical systems
  • ST1_4: Algebraic and complex geometry

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 hab. Maria Przybylska 

Number of co-investigators in the project: 5

Call: OPUS 5 - announced on 2013-03-15

Amount awarded: 347 370 PLN

Project start date (Y-m-d): 2014-02-20

Project end date (Y-m-d): 2017-10-19

Project duration:: 44 months (the same as in the proposal)

Project status: Project settled

Equipment purchased [PL]

  1. licencja programu Maple z trzyletnim kontraktem (7 000 PLN)
  2. nowa licencja programu Mathematica z trzyletnim kontraktem (8 000 PLN)
  3. jednoroczny kontrakt do zakupionej wcześniej licencji programu Mathematica (1 300 PLN)
  4. notebook (2 szt.) (14 000 PLN)

Information in the final report

  • Publication in academic press/journals (17)
  • Book publications / chapters in book publications (1)
  1. Anisotropic Kepler and anisotropic two fixed centres problems
    Authors:
    Andrzej J. Maciejewski, Maria Przybylska, Wojciech Szumiński
    Academic press:
    Celestial Mechanics and Dynamical Astronomy (rok: 2017, tom: 127, strony: 163-184), Wydawca: Sringer
    Status:
    Published
    DOI:
    10.1007/s10569-016-9722-z - link to the publication
  2. Dynamics of constrained many body problems in constant curvature two-dimensional manifolds
    Authors:
    Andrzej J. Maciejewski, Maria Przybylska
    Academic press:
    Philosophical Transactions of the Royal Society A (rok: 2018, tom: 376, strony: 20170425-1-18), Wydawca: The Royal Society.
    Status:
    Published
    DOI:
    10.1098/rsta.2017.0425 - link to the publication
  3. Non-integrability of restricted double pendula
    Authors:
    Tomasz Stachowiak, Wojciech Szumiński
    Academic press:
    Physics Letters A (rok: 2015, tom: 379, strony: 3017–3024), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.physleta.2015.09.052 - link to the publication
  4. The Euler-Poisson Equations; an elementary approach to integrability conditions
    Authors:
    Sasho Popov, Jean-Marie Strelcyn
    Academic press:
    Journal of Geometric Mechanics (rok: 2018, tom: 10, strony: 293-329), Wydawca: American Institute of Mathematical Sciences
    Status:
    Published
    DOI:
    10.3934/jgm.2018011 - link to the publication
  5. The phase space structure of the oligopoly dynamical system by means of Darboux integrability
    Authors:
    Adam Krawiec, Tomasz Stachowiak, Marek Szydłowski
    Academic press:
    Journal of Nonlinear Science , Wydawca: Springer
    Status:
    Submitted
    DOI:
    brak - link to the publication
  6. Note on integrability of certain homogeneous Hamiltonian systems in 2D constant curvature spaces
    Authors:
    Andrzej J. Maciejewski, Wojciech Szumiński, Maria Przybylska
    Academic press:
    Physics Letters A (rok: 2017, tom: 381, strony: 725-732), Wydawca: Elsvier
    Status:
    Published
    DOI:
    10.1016/j.physleta.2016.12.030 - link to the publication
  7. Bi-homogeneity and integrability of rational potentials
    Authors:
    Thierry Combot, Andrzej J. Maciejewski, Maria Przybylska
    Academic press:
    Journal of Differential Equations (rok: 2017, ), Wydawca: Elsevier
    Status:
    Submitted
    DOI:
    brak - link to the publication
  8. Dynamics of multibody chains in circular orbit: non-integrability of equations of motion
    Authors:
    Andrzej J. Maciejewski, Maria Przybylska
    Academic press:
    Celestial Mechanics and Dynamical Astronomy (rok: 2016, tom: 126, strony: 297-311), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10569-016-9696-x - link to the publication
  9. Global Properties of Kovalevskaya Exponents
    Authors:
    Andrzej J. Maciejewski, Maria Przybylska
    Academic press:
    Regular and Chaotic Dynamics (rok: 2017, tom: 22, strony: 840–850), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1134/S1560354717070061 - link to the publication
  10. 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
  11. Dynamics of a rolling and sliding disk in a plane. Asymptotic solutions, stability and numerical simulations
    Authors:
    Maria Przybylska, Stefan Rauch-Wojciechowski
    Academic press:
    Regular and Chaotic Dynamics (rok: 2016, tom: 21, strony: 204-231), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1134/S1560354716020052 - link to the publication
  12. Hypergeometric first integrals of the Duffing and van der Pol oscillators
    Authors:
    Tomasz Stachowiak
    Academic press:
    Journal of Differential Equations (rok: 2019, tom: 266, strony: 5895–5911), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.049 - link to the publication
  13. Integrability of Hamiltonian systems with algebraic potentials
    Authors:
    Andrzej J. Maciejewski, Maria Przybylska
    Academic press:
    Physics Letters A (rok: 2016, tom: 380, strony: 76-82), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.physleta.2015.08.035 - link to the publication
  14. Note on integrability of certain homogeneous Hamiltonian systems
    Authors:
    Wojciech Szumiński, Andrzej J. Maciejewski, Maria Przybylska
    Academic press:
    Physics Letters A (rok: 2015, tom: 379, strony: 2970-2976), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.physleta.2015.08.032 - link to the publication
  15. The inhomogeneous Suslov problem
    Authors:
    Luis C. Garcia-Naranjo, Andrzej J. Maciejewski, Juan C. Marrero, Maria Przybylska
    Academic press:
    Physics Letters A (rok: 2014, tom: 378, strony: 2389--2394), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.physleta.2014.06.026 - link to the publication
  16. Understanding reversals of a rattleback
    Authors:
    Stefan Rauch-Wojciechowski, Maria Przybylska
    Academic press:
    Regular and Chaotic Dynamics (rok: 2017, tom: 22, strony: 368-385), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1134/S1560354717040037 - link to the publication
  17. Integrability analysis of the stretch-twist-fold flow
    Authors:
    Andrzej J. Maciejewski, Maria Przybylska
    Academic press:
    Journal of Nonlinear Science , Wydawca: Springer
    Status:
    Submitted
    DOI:
    brak - link to the publication
  1. Analysis of the constrained 2-body problem
    Authors:
    Wojciech Szumiński, Tomasz Stachowiak
    Book:
    Dynamical Systems: Theoretical and Experimental Analysis. (rok: 2016, tom: 182, strony: 361-372), Wydawca: Springer Proceedings in Mathematics & Statistics
    Status:
    Published
    DOI:
    link to the publication

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