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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Equivariant topological methods and their applications to nonlinear differential equations

2012/05/B/ST1/02165

Keywords:

equivariant Conley index degree for equivariant gradient maps bifurcation theory periodic soutions symmetry breaking

Descriptors:

  • ST1_10:

Panel:

ST1 - Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics

Host institution :

Uniwersytet Mikołaja Kopernika w Toruniu, Wydział Matematyki i Informatyki

woj. kujawsko-pomorskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Sławomir Maciej Rybicki 

Number of co-investigators in the project: 4

Call: OPUS 3 - announced on 2012-03-15

Amount awarded: 310 560 PLN

Project start date (Y-m-d): 2013-01-24

Project end date (Y-m-d): 2016-01-23

Project duration:: 36 months (the same as in the proposal)

Project status: Project settled

Equipment purchased [PL]

  1. Dysk Siden.
  2. Zewnętrzny dysk przenośny (1 000 PLN)
  3. iPad (4 000 PLN)
  4. Notebook (7 000 PLN)
  5. Komputer stacjonarny + monitor (11 000 PLN)

Information in the final report

  • Publication in academic press/journals (19)
  1. Rabinowitz alternative for non-cooperative elliptic systems on geodesic balls
    Authors:
    Sławomir Rybicki, Naoki Shioji i Piotr Stefaniak
    Academic press:
    Adv. Nonlinear Stud. (rok: 2018, tom: 18(4), strony: 845-862), Wydawca: De Gruyter
    Status:
    Published
    DOI:
    10.1515/ans-2018-0012 - link to the publication
  2. The generalized kite problem
    Authors:
    Luis Franco Perez, Ernesto Perez Chavela i Sławomir Rybicki
    Academic press:
    Romanian Astronomical Journal (rok: 2014, tom: 24, strony: 45667), Wydawca: Astronomical Institute of Romanian Academy
    Status:
    Published
  3. Bifurcations of critical orbits of invariant potentials with applications to bifurcations of central configurations of the N-body problem
    Authors:
    Marta Kowalczyk
    Academic press:
    Nonlinear Analysis Real World Applications (rok: 2015, tom: 24, strony: 108-125), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.nonrwa.2015.01.006 - link to the publication
  4. Rabinowitz alternative for non-cooperative elliptic systems on geodesic balls
    Authors:
    Sławomir Rybicki, Naoki Shioji i Piotr Stefaniak
    Academic press:
    Adv. Nonlinear Stud. (rok: 2018, tom: 18(4), strony: 845-862), Wydawca: De Gruyter
    Status:
    Published
    DOI:
    10.1515/ans-2018-0012 - link to the publication
  5. Topological Bifurcations of spatial central configurations in the N-body problem
    Authors:
    Marta Kowalczyk
    Academic press:
    Celestial Dynamics and Dynamical Astronomy (rok: 2016, tom: 124, strony: 201-214), Wydawca: Springer
    Status:
    Published
    DOI:
    brak - link to the publication
  6. Connected sets of solutions for a nonlinear Neumann problem
    Authors:
    Anna Gołębiewska i Joanna Kluczenko
    Academic press:
    Differential and Integral Equations (rok: 2017, tom: 30(11-12), strony: 833-852), Wydawca: Khayyam Publishing, Inc.
    Status:
    Published
  7. Symmetry breaking of solutions of non-cooperative elliptic systems
    Authors:
    Piotr Stefaniak
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2013, tom: 408(2), strony: 681-693), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2013.06.044 - link to the publication
  8. Topological bifurcation of relative equilibria for the Kirchhoff 8-vortex problem
    Authors:
    Ernesto Perez Chavela i Sławomir Rybicki
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2015, tom: 427, strony: 45673), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2015.02.022 - link to the publication
  9. Global symmetry-breaking bifurcations of critical orbits of invariant functionals
    Authors:
    Anna Gołębiewska, Norimichi Hirano and Sławomir Rybicki
    Academic press:
    Discrete and Continuous Dynamical Systems (rok: 2019, tom: 12(7), strony: 2005-2017), Wydawca: American Institute of Mathematical Sciences
    Status:
    Published
    DOI:
    10.3934/dcdss.2019129 - link to the publication
  10. Conley index in Hilbert spaces versus the generalized topological degree
    Authors:
    Zbigniew Błaszczyk, Anna Gołębiewska i Sławomir Rybicki
    Academic press:
    Advanced Differential Equations (rok: 2017, tom: 22(11-12), strony: 963-982), Wydawca: Elsevier
    Status:
    Published
  11. Non-integrability of the dumbbell and point mass problem
    Authors:
    A. Maciejewski, M. Przybylska, L. Simpson, W. Szumiński
    Academic press:
    Celestial Mechanics and Dynamical Astronomy (rok: 2013, tom: 117(3), strony: 315-330), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10569-013-9514-7 - link to the publication
  12. Periodic solutions of asymptotically linear autonomous Hamiltonian systems ith resonance
    Authors:
    Anna Gołębiewska
    Academic press:
    Journal of Dynamic and Differential Equations (rok: 2018, tom: 30(4), strony: 1509-1524), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10884-017-9608-0 - link to the publication
  13. Symmetric Lyapunov center theorem
    Authors:
    Ernesto Perez-Chavela, Sławomir Rybicki i Daniel Strzelecki
    Academic press:
    Calculus of Variations and PDE's (rok: 2017, tom: 56(2), strony: Art. 26, 23 pp.), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00526-017-1120-1 - link to the publication
  14. Topological Bifurcations of spatial central configurations in the N-body problem
    Authors:
    Marta Kowalczyk
    Academic press:
    Celestial Dynamics and Dynamical Astronomy (rok: 2016, tom: 124, strony: 201-214), Wydawca: Springer
    Status:
    Published
  15. Symmetric Lyapunov center theorem
    Authors:
    Ernesto Perez-Chavela, Sławomir Rybicki i Daniel Strzelecki
    Academic press:
    Calculus of Variations and PDE's (rok: 2017, tom: 56(2), strony: Art. 26, 23 pp.), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00526-017-1120-1 - link to the publication
  16. Dynamics of multibody chains in circular orbit: non-integralibity of equations of motion
    Authors:
    Andrzej Maciejewski i Anna Przybylska
    Academic press:
    Celestial Mechanics and Dynamical Astronomy (rok: 2016, tom: 126(4), strony: 297-311), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10569-016-9696-x - link to the publication
  17. Unbounded sets of solutions of non-cooperative elliptic systems on spheres
    Authors:
    Sławomir Rybicki i Piotr Stefaniak
    Academic press:
    Journal of Differential Equations (rok: 2015, tom: 259, strony: 2833-2849), Wydawca: Elsevier
    Status:
    Published
  18. Topological bifurcation of relative equilibria for the Kirchhoff 8-vortex problem
    Authors:
    Ernesto Perez Chavela i Sławomir Rybicki
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2015, tom: 427, strony: 45673), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2015.02.022 - link to the publication
  19. Non-integrability of the dumbbell and point mass problem
    Authors:
    A. Maciejewski, M. Przybylska, L. Simpson, W. Szumiński
    Academic press:
    Celestial Mechanics and Dynamical Astronomy (rok: 2013, tom: 117(3), strony: 315-330), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10569-013-9514-7 - link to the publication

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