Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

Delete all

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: 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 Mikołaja Kopernika, Wydział Matematyki i Informatyki

woj. kujawsko-pomorskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Sławomir 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 (14)
  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. 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
  3. 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: 45307), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2015.02.022 - link to the publication
  4. 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
  5. 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
  6. 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
    DOI:
    brak - link to the publication
  7. 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
    DOI:
    brak - link to the publication
  8. 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
  9. 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
  10. The generalized kite problem
    Authors:
    Luis Franco Perez, Ernesto Perez Chavela i Sławomir Rybicki
    Academic press:
    Romanian Astronomical Journal (rok: 2014, tom: 24, strony: 45301), Wydawca: Astronomical Institute of Romanian Academy
    Status:
    Published
    DOI:
    brak - link to the publication
  11. 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
  12. 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
    DOI:
    brak - link to the publication
  13. 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
  14. 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

O Narodowym Centrum Nauki

Finansowanie nauki

Współpraca zagraniczna

Centrum prasowe

Deklaracja dostępności
Przetwarzanie danych osobowych
Polityka cookies

Partnerzy