Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

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Integrability, non-integrability and chaos in multi-dimensional dynamical systems

2020/39/D/ST1/01632

Keywords:

Dynamical systems integrability non-integrability chaos differential Galois theory Hamiltonian systems in curved spaces non-Hamiltonian systems.

Descriptors:

  • ST1_010:
  • ST1_012:

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: 3

Call: SONATA 16 - announced on 2020-09-15

Amount awarded: 298 080 PLN

Project start date (Y-m-d): 2021-06-24

Project end date (Y-m-d): 2025-06-23

Project duration:: 48 months (the same as in the proposal)

Project status: Project completed

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.

Information in the final report

  • Publication in academic press/journals (30)
  1. Non-integrability of the planar elliptic restricted three-body problem
    Authors:
    Maria Przybylska, Andrzej J. Maciejewski
    Academic press:
    Celestial Mechanics and Dynamical Astronomy (rok: 2023, tom: 135, strony: 45679), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10569-022-10120-5 - link to the publication
  2. The geodesic flow of the BGPP metric is Liouville integrable
    Authors:
    Andrzej J Maciejewski, Maria Przybylska, Galliano Valent
    Academic press:
    Classical and Quantum Gravity (rok: 2023, tom: 40, strony: 155007), Wydawca: IOPscience
    Status:
    Published
    DOI:
    10.1088/1361-6382/ace097 - link to the publication
  3. Non-integrability of a model of elastic dumbbell satellite
    Authors:
    Thierry Combot, Andrzej J. Maciejewski, Maria Przybylska
    Academic press:
    Nonlinear Dynamics (rok: 2021, tom: 106, strony: 125–146), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11071-021-06771-y - link to the publication
  4. Dynamics and integrability of the swinging Atwood machine generalisations
    Authors:
    Wojciech Szumiński, Andrzej, J. Maciejewski
    Academic press:
    Nonlinear Dynamics (rok: 2022, tom: 110, strony: 2101–2128), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11071-022-07680-4 - link to the publication
  5. Non-integrability of charged three-body problem
    Authors:
    Maria Przybylska, Andrzej J. Maciejewski
    Academic press:
    Celestial Mechanics and Dynamical Astronomy (rok: 2025, tom: 137, strony: 45665), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10569-025-10237-3 - link to the publication
  6. A new model of variable-length coupled pendulums: from hyperchaos to superintegrability
    Authors:
    Wojciech Szumiński
    Academic press:
    Nonlinear Dynamics (rok: 2024, tom: 112, strony: 4117–4145), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11071-023-09253-5 - link to the publication
  7. Non-Integrability of the Kepler and the Two-Body Problems on the Heisenberg Group
    Authors:
    Tomasz Stachowiak, Andrzej J. Maciejewski
    Academic press:
    Symmetry, Integrability and Geometry: Methods and Applications (rok: 2021, tom: 17, strony: 45659), Wydawca: SIGMA
    Status:
    Published
    DOI:
    10.3842/SIGMA.2021.074 - link to the publication
  8. Destructive relativity
    Authors:
    Maria Przybylska, Wojciech Szumiński, Andrzej J. Maciejewski
    Academic press:
    Chaos (rok: 2023, tom: 33, strony: 63156), Wydawca: AIP Publishing
    Status:
    Published
    DOI:
    10.1063/5.0140633 - link to the publication
  9. Chaos and integrability of relativistic homogeneous potentials in curved space
    Authors:
    Wojciech Szumiński, Maria Przybylska, Andrzej, J. Maciejewski
    Academic press:
    Nonlinear Dynamics (rok: 2024, tom: 112, strony: 4879–4898), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11071-023-09224-w - link to the publication
  10. Integrability of Hamiltonian systems with gyroscopic term
    Authors:
    Maria Przybylska, Andrzej J. Maciejewski
    Academic press:
    Nonlinear Dynamics (rok: 2022, tom: 11, strony: 275–287), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11071-022-07866-w - link to the publication
  11. Non-integrability of a model of elastic dumbbell satellite
    Authors:
    Thierry Combot, Andrzej J. Maciejewski, Maria Przybylska
    Academic press:
    Nonlinear Dynamics (rok: 2021, tom: 106, strony: 125–146), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11071-021-06771-y - link to the publication
  12. Non-integrability of the planar elliptic restricted three-body problem
    Authors:
    Maria Przybylska, Andrzej J. Maciejewski
    Academic press:
    Celestial Mechanics and Dynamical Astronomy (rok: 2022, tom: 135, strony: 45679), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10569-022-10120-5 - link to the publication
  13. Integrability of the generalised Hill problem
    Authors:
    Thierry Combot, Andrzej J. Maciejewski, Maria Przybylska
    Academic press:
    Nonlinear Dynamics (rok: 2021, tom: 107, strony: 1989–2002), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11071-021-07040-8 - link to the publication
  14. Non-Integrability of the Kepler and the Two-Body Problems on the Heisenberg Group
    Authors:
    Tomasz Stachowiak, Andrzej J. Maciejewski
    Academic press:
    Symmetry, Integrability and Geometry: Methods and Applications (rok: 2021, tom: 17, strony: 45659), Wydawca: SIGMA
    Status:
    Published
    DOI:
    10.3842/SIGMA.2021.074 - link to the publication
  15. Diatomic molecule in the polar trap
    Authors:
    Yurij Yaremko, Maria Przybylska, Andrzej J Maciejewski
    Academic press:
    Journal of Physics B: Atomic, Molecular and Optical Physics (rok: 2025, tom: 58, strony: 55101), Wydawca: IOP Publishing
    Status:
    Published
    DOI:
    10.1088/1361-6455/adb46b - link to the publication
  16. Dynamics and non-integrability of the double spring pendulum
    Authors:
    Wojciech Szumiński, Andrzej J. Maciejewski
    Academic press:
    Journal of Sound and Vibration (rok: 2024, tom: 589, strony: 118550), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jsv.2024.118550 - link to the publication
  17. Chaos and integrability of relativistic homogeneous potentials in curved space
    Authors:
    Wojciech Szumiński, Maria Przybylska, Andrzej, J. Maciejewski
    Academic press:
    Nonlinear Dynamics (rok: 2024, tom: 112, strony: 4879–4898), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11071-023-09224-w - link to the publication
  18. Integrability of the generalised Hill problem
    Authors:
    Thierry Combot, Andrzej J. Maciejewski, Maria Przybylska
    Academic press:
    Nonlinear Dynamics (rok: 2021, tom: 107, strony: 1989–2002), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11071-021-07040-8 - link to the publication
  19. Dynamics and integrability of the swinging Atwood machine generalisations
    Authors:
    Wojciech Szumiński, Andrzej, J. Maciejewski
    Academic press:
    Nonlinear Dynamics (rok: 2022, tom: 110, strony: 2101–2128), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11071-022-07680-4 - link to the publication
  20. Top on a smooth plane
    Authors:
    Maria Przybylska, Andrzej J. Maciejewski
    Academic press:
    Chaos: An Interdisciplinary Journal of Nonlinear Science (rok: 2024, tom: 34, strony: 45681), Wydawca: AIP Publishing
    Status:
    Published
    DOI:
    10.1063/5.0200592 - link to the publication
  21. Destructive relativity
    Authors:
    Maria Przybylska, Wojciech Szumiński, Andrzej J. Maciejewski
    Academic press:
    Chaos (rok: 2023, tom: 33, strony: 63156), Wydawca: AIP Publishing
    Status:
    Published
    DOI:
    10.1063/5.0140633 - link to the publication
  22. The geodesic flow of the BGPP metric is Liouville integrable
    Authors:
    Andrzej J Maciejewski, Maria Przybylska, Galliano Valent
    Academic press:
    Classical and Quantum Gravity (rok: 2023, tom: 40, strony: 155007), Wydawca: IOPscience
    Status:
    Published
    DOI:
    10.1088/1361-6382/ace097 - link to the publication
  23. A new model of variable-length coupled pendulums: from hyperchaos to superintegrability
    Authors:
    Wojciech Szumiński
    Academic press:
    Nonlinear Dynamics (rok: 2024, tom: 112, strony: 4117–4145), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11071-023-09253-5 - link to the publication
  24. Non-integrability of the planar elliptic restricted three-body problem
    Authors:
    Maria Przybylska, Andrzej J. Maciejewski
    Academic press:
    Celestial Mechanics and Dynamical Astronomy (rok: 2023, tom: 135, strony: 45679), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10569-022-10120-5 - link to the publication
  25. Non-Integrability of the Kepler and the Two-Body Problems on the Heisenberg Group
    Authors:
    Tomasz Stachowiak, Andrzej J. Maciejewski
    Academic press:
    Symmetry, Integrability and Geometry: Methods and Applications (rok: 2021, tom: 17, strony: 45659), Wydawca: SIGMA
    Status:
    Published
    DOI:
    10.3842/SIGMA.2021.074 - link to the publication
  26. Integrability of Hamiltonian systems with gyroscopic term
    Authors:
    Maria Przybylska, Andrzej J. Maciejewski
    Academic press:
    Nonlinear Dynamics (rok: 2022, tom: 11, strony: 275–287), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11071-022-07866-w - link to the publication
  27. Non-integrability of a model of elastic dumbbell satellite
    Authors:
    Thierry Combot, Andrzej J. Maciejewski, Maria Przybylska
    Academic press:
    Nonlinear Dynamics (rok: 2021, tom: 106, strony: 125–146), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11071-021-06771-y - link to the publication
  28. Integrability of the generalised Hill problem
    Authors:
    Thierry Combot, Andrzej J. Maciejewski, Maria Przybylska
    Academic press:
    Nonlinear Dynamics (rok: 2021, tom: 107, strony: 1989–2002), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11071-021-07040-8 - link to the publication
  29. Dynamics and integrability of the swinging Atwood machine generalisations
    Authors:
    Wojciech Szumiński, Andrzej, J. Maciejewski
    Academic press:
    Nonlinear Dynamics (rok: 2022, tom: 110, strony: 2101–2128), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11071-022-07680-4 - link to the publication
  30. Integrability of Hamiltonian systems with gyroscopic term
    Authors:
    Maria Przybylska, Andrzej J. Maciejewski
    Academic press:
    Nonlinear Dynamics (rok: 2022, tom: 11, strony: 275–287), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11071-022-07866-w - link to the publication

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