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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Topological methods in variational problems with symmetry

2011/03/B/ST1/04533

Keywords:

periodic points hetero- and homoclinic solutions of variational problems gradient mappings

Descriptors:

  • ST1_6: Topology
  • ST1_8: Analysis
  • 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 im. Adama Mickiewicza, Wydział Matematyki i Informatyki

woj. wielkopolskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Wacław Marzantowicz 

Number of co-investigators in the project: 5

Call: OPUS 2 - announced on 2011-09-15

Amount awarded: 361 440 PLN

Project start date (Y-m-d): 2012-08-29

Project end date (Y-m-d): 2015-12-28

Project duration:: 40 months (the same as in the proposal)

Project status: Project completed

Equipment purchased [PL]

  1. Urzadzenie "printservers' - dla Wifi komunikacji jednostek głównych z drukarką (2 szt.) (580 PLN)
  2. urządzenie UPS (431 PLN)
  3. TP-link router.
  4. kabel HDMI (43 PLN)
  5. Toshiba Satellite L855-14F (3 szt.) (7 500 PLN)
  6. Drukarka laserowa (325 PLN)
  7. "power line communication devices" - dla komunikacji pomiędzy jednostką główną komputera a urządzeniami peryferyjnymi (3 szt.) (510 PLN)
  8. Skaner biurkowy (480 PLN)
  9. Dysk zewnętrzny (4 szt.) (1 799 PLN)

Information in the final report

  • Publication in academic press/journals (21)
  1. Approximative sequences and almost homoclinic solutions for a class of second order perturbed Hamiltonian systems
    Authors:
    M. Izydorek, J. Janczewska
    Academic press:
    Banach Center Publications (rok: 2014, tom: vol. 101, strony: 87-92), Wydawca: Polish Academy of Science
    Status:
    Published
    DOI:
    10.4064/bc101-0-6 - link to the publication
  2. Two families of infinitely many homoclinics for singular strong force Hamiltonian systems
    Authors:
    M. Izydorek, J. Janczewska,
    Academic press:
    J. Fixed Point Theory Appl. (rok: 2014, tom: 16, no. 1-2, strony: 301-311), Wydawca: Springer-Birhauser
    Status:
    Published
    DOI:
    10.1007/s11784-015-0212-9 - link to the publication
  3. A representation of the Reeb graph as a sub-complex of manifold
    Authors:
    M. Kaluba, W. Marzantowicz, N. Silva
    Academic press:
    TMNA (rok: 2015, tom: 45 (1), strony: 287-307), Wydawca: Juliusz Schauder University Centre for Nonlinear Studies
    Status:
    Published
    DOI:
    brak - link to the publication
  4. On the topology of the spaces of partial and local maps
    Authors:
    P. Bartłomiejczyk, P. Nowak-Przygodzki
    Academic press:
    Georgian Mathematical Journal (rok: 2014, tom: 21 (1), strony: 41–48), Wydawca: Walter De Gruyter
    Status:
    Published
    DOI:
    10.1515/gmj-2014-0007 - link to the publication
  5. BOURGIN-YANG VERSIONS OF THE BORSUK-ULAM THEOREM FOR p-TORAL GROUPS
    Authors:
    W. Marzantowicz, D. de Mattos, E. dos Santos
    Academic press:
    Journal of Fixed Point Theory and Applications (rok: 2015, tom: -----, strony: ----), Wydawca: -----
    Status:
    Submitted
    DOI:
    brak - link to the publication
  6. Critical points of invariant functions on closed orientable surfaces
    Authors:
    G. Gromadzki, J. Jezierski, W. Marzantowicz
    Academic press:
    Boletin Sociedad Matematica Mexicana (rok: 2014, tom: ---, strony: opublikowane on-line), Wydawca: Birkhäuser Mathematics
    Status:
    Published
    DOI:
    10.1007/ - link to the publication
  7. On the interspike-intervals of periodically-driven integrate-and-fire models
    Authors:
    W. Marzantowicz, J. Signerska
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2015, tom: 423, No.1, strony: 456 - 479), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.013 - link to the publication
  8. The exponential law for partial, local and proper maps and its application to otopy theory
    Authors:
    P. Bartłomiejczyk, P. Nowak-Przygodzki
    Academic press:
    Communications in Contemporary Mathematics (rok: 2014, tom: Vol. 16, No. 5, strony: 12 pages), Wydawca: World Scientific, Singapore
    Status:
    Published
    DOI:
    10.1142/S0219199714500059 - link to the publication
  9. Bourgin-Yang version of the Borsuk-Ulam theorem for Z_{p^k}-equivariant maps
    Authors:
    W. Marzantowicz, D. de Mattos, E. dos Santos
    Academic press:
    Algebraic Geometric Topology (rok: 2012, tom: 12, strony: 2245–2258), Wydawca: Mathematical Sciences Publishers
    Status:
    Published
    DOI:
    10.2140/agt.2012.12.2245 - link to the publication
  10. General Bourgin-Yang theorems
    Authors:
    Z. Błaszczyk, W. Marzantowicz, M. Singh
    Academic press:
    Journal of Topology and Analysis , Wydawca: World Scientific
    Status:
    Submitted
    DOI:
    brak - link to the publication
  11. Symmetry-Breaking Bifurcation for Free Elastic Shell of Biological Cluster
    Authors:
    H. Guze, J. Janczewska
    Academic press:
    Milan J. Math. (rok: 2014, tom: vol. 82, strony: 331-342), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00032-014-0223-9 - link to the publication
  12. The Hopf theorem for local gradient vector fields on manifolds
    Authors:
    PIOTR BARTŁOMIEJCZYK AND PIOTR NOWAK-PRZYGODZKI
    Academic press:
    New York Journal of Mathematics (rok: 2015, tom: 21, strony: 943-953), Wydawca: University at Albany
    Status:
    Published
    DOI:
    brak - link to the publication
  13. Invariant topological complexity
    Authors:
    W. Lubawski, W. Marzantowicz
    Academic press:
    Bull. London Math. Soc. (rok: 2015, tom: 47 (1), strony: 101-117), Wydawca: Oxford Journals
    Status:
    Published
    DOI:
    10.1112/blms/bdu090 - link to the publication
  14. Distribution of the displacement sequence of an orientation preserving circle homeomorphism
    Authors:
    W. Marzantowicz, J. Signerska
    Academic press:
    Dynamical Systems, An International Journal (rok: 2014, tom: Vol. 29, No. 2, strony: od 153 do 166), Wydawca: Taylor & Francis
    Status:
    Published
    DOI:
    10.1080/14689367.2013.868867 - link to the publication
  15. On von Karman equations and the buckling of a thin circular elastic plate
    Authors:
    J. Janczewska, A. Zgorzelska, H. Guze
    Academic press:
    Advanced Nonlinear Studies (rok: 2015, tom: 15 no. 3, strony: 613-628), Wydawca: University of Texas, S. Antonio
    Status:
    Published
    DOI:
    brak - link to the publication
  16. Homoclinic and Heteroclinic Orbits for a Class of Singular Planar Newtonian Systems
    Authors:
    J. Janczewska
    Academic press:
    Research Perspectives CRM Barcelona (rok: 2015, tom: Trends in Math, strony: 39-44), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/978-3-319-22129-8 - link to the publication
  17. On the homotopy equivalence of the spaces of proper and local maps
    Authors:
    P. Bartłomiejczyk, P. Nowak-Przygodzki
    Academic press:
    Central European Journal of Mathematics (rok: 2014, tom: 12(9), strony: 1330-1336), Wydawca: Springer-Versita
    Status:
    Published
    DOI:
    10.2478/s11533-014-0410-5 - link to the publication
  18. THE HOPF TYPE THEOREM FOR EQUIVARIANT GRADIENT LOCAL MAPS
    Authors:
    P. Bartłomiejczyk, Piotr Nowak-Przygodzki
    Academic press:
    Journal of Fixed Point Theory and Applications , Wydawca: Birkhäuser Mathematics
    Status:
    Submitted
    DOI:
    brak - link to the publication
  19. ON THE REGULARITY OF THE DISPLACEMENT SEQUENCE OF AN ORIENTATION PRESERVING CIRCLE HOMEOMORPHISM
    Authors:
    W. Marzantowicz, J. Signerska-Rynkowska
    Academic press:
    Research and Communications in Mathematics and Mathematical Sciences (rok: 2015, tom: 5, Issue 1, strony: 11994), Wydawca: Jyoti Academic Press
    Status:
    Published
    DOI:
    brak - link to the publication
  20. Connecting orbits for a periodically forced singular planar Newtonian system
    Authors:
    M. Izydorek, J. Janczewska
    Academic press:
    Journal of Fixed Point Theory and Applications (rok: 2012, tom: 12, strony: 59-67), Wydawca: Birkhäuser Mathematics
    Status:
    Published
    DOI:
    0.1007/s11784-012-0093-0 - link to the publication
  21. Subcritical Bifurcation of Free Elastic Shell of Biological Cluster
    Authors:
    H. Guze, J. Janczewska
    Academic press:
    Nonlinear Analysis: Real World Applications (rok: 2015, tom: 24, strony: 61-72), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.nonrwa.2015.01.003 - link to the publication

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