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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Singularities and global properties of nonlinear differential equations

2011/03/B/ST1/00330

Keywords:

limit cycles Abelian integrals normal forms of vector fields monodromy of differential equations special functions Painleve equations Fuchs type equations

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 Warszawski, Wydział Matematyki, Informatyki i Mechaniki

woj. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr hab. Marcin Bobieński 

Number of co-investigators in the project: 2

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

Amount awarded: 215 000 PLN

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

Project end date (Y-m-d): 2016-02-28

Project duration:: 42 months (the same as in the proposal)

Project status: Project settled

Equipment purchased [PL]

  1. Komputer przenośny stacjonarny Dell Precision (4 000 PLN)
  2. Licencja programu Mathematica (2 szt.) (12 000 PLN)
  3. Komputer przenośny Samsung Satellite NP530U3B-A04 (4 000 PLN)

Information in the final report

  • Publication in academic press/journals (12)
  • Book publications / chapters in book publications (5)
  1. Constructive Solutions to the Riemann–Hilbert Problem and Middle Convolution
    Authors:
    Y. Bibilo, G. Filipuk
    Academic press:
    J. Dyn. Control Syst. (rok: 2016, tom: 21 No 4, strony: 45306), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10883-015-9306-3 - link to the publication
  2. Finite cyclicity of quadratic slow-fast Darboux systems with a two saddle loop
    Authors:
    M. Bobienski, L. Gavrilov
    Academic press:
    Proceedings of the AMS (rok: 2014, tom: -, strony: -), Wydawca: AMS
    Status:
    Accepted for publication
    DOI:
    brak - link to the publication
  3. A remark about quasi-Painleve equations of PII type
    Authors:
    G. Filipuk
    Academic press:
    Proceedings of the Bulgarian Academy of Sciences (rok: 2015, tom: 68, strony: 427-430), Wydawca: Bulgarian Academy of Sciences
    Status:
    Published
    DOI:
    brak - link to the publication
  4. Factorization method applied to second order (q,h)-difference operators
    Authors:
    A. Dobrogowska, G. Filipuk
    Academic press:
    International Journal of Difference Equations (rok: 2016, tom: -, strony: -), Wydawca: Research India Publications
    Status:
    Published
    DOI:
    brak - link to the publication
  5. Middle convolution and non-Schlesinger deformations
    Authors:
    J. Bibilo, G. Filipuk
    Academic press:
    Proc. Japan Academy Series A (rok: 2014, tom: -, strony: -), Wydawca: Japan ACAD
    Status:
    Published
    DOI:
    brak - link to the publication
  6. On the Generalized Emden-Fowler and Isothermal Spheres Equations
    Authors:
    R. Kycia, G. Filipuk
    Academic press:
    Applied Mathematics and Computation (rok: 2015, tom: -, strony: -), Wydawca: ELSEVIER SCIENCE INC
    Status:
    Published
    DOI:
    brak - link to the publication
  7. Linear differential equations satisfied by Pseudo-Abelian integral along Daroboux cycle
    Authors:
    M. Bobienski
    Academic press:
    Bulletin des Sciences Mathematiques (rok: 2016, ), Wydawca: Elsevier
    Status:
    Submitted
    DOI:
    brak - link to the publication
  8. Painleve equations, elliptic integrals and elementary functions
    Authors:
    H. Zoladek, G. Filpuk
    Academic press:
    Journal of Differental Equations (rok: 2015, tom: 258, strony: 1303 - 1355), Wydawca: ACADEMIC PRESS INC ELSEVIER SCIENCE
    Status:
    Published
    DOI:
    10.018 - link to the publication
  9. Meromorphic solutions of P_4,34 and their value distribution
    Authors:
    E. Ciechanowicz, G. Filipuk
    Academic press:
    Annales Academiae Scientiarum Fennicae Mathematica (rok: 2016, ), Wydawca: ?
    Status:
    Accepted for publication
    DOI:
    brak - link to the publication
  10. Non-Schlesinger Isomonodromic Deformations of Fuchsian Systems and Middle Convolution
    Authors:
    Y. Bibilo, G. Filipuk
    Academic press:
    SIGMA (rok: 2015, tom: 11, strony: 14), Wydawca: -
    Status:
    Published
    DOI:
    10.3842/SIGMA.2015.023 - link to the publication
  11. On the (q,h)-discretization of ladder operators
    Authors:
    S. Hilger, G. Filipuk, R. Kycia, A. Dobrogowska
    Academic press:
    International Journal of Difference Equations (rok: 2014, tom: 9, strony: 67 - 76), Wydawca: Research India Publications
    Status:
    Published
    DOI:
    brak - link to the publication
  12. Algebra embedding of Uq(sl(2))into the tensor product of two (q, h)-Weyl algebras
    Authors:
    G. Filipuk, S. Hilger
    Academic press:
    Journal of Pure and Applied Algebra (rok: 2016, tom: 220, strony: 2049 - 2063), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.017 - link to the publication
  1. On the singularities of the Emden-Fowler type equations
    Authors:
    G. Kycia, G. Filipuk
    Book:
    Current Trends in Analysis and its Applications (rok: 2015, tom: -, strony: 93 - 101), Wydawca: Birkhauser
    Status:
    Published
    DOI:
    link to the publication
  2. A Remark on the Tensor Product of Two (q,h)-Weyl Algebras
    Authors:
    G. FIlipuk, S. Hilger
    Book:
    Computer Algebra Systems in Teaching and Research (rok: 2015, tom: V, strony: 93 - 98), Wydawca: Collegium Mazovia
    Status:
    Published
  3. A remark on non-Schlesinger deformations
    Authors:
    G. Filipuk, Y. Bibilo
    Book:
    Computer Algebra Systems in Teaching and Research (rok: 2015, tom: V, strony: 87-92), Wydawca: Collegium Mazovia
    Status:
    Published
  4. On the solutions of the critical Lane-Emden equation in higher space dimensions
    Authors:
    R. Kycia, G. Filipuk
    Book:
    Computer Algebra Systems in Teaching and Research (rok: 2013, tom: IV, No 1, strony: 66-75), Wydawca: Collegium Mazovia
    Status:
    Published
  5. Transcendental meromorphic solutions of P_{34} and small targets
    Authors:
    E. Ciechanowicz, G. Filipuk
    Book:
    AAGADE proceedings to be published in Trends in Mathematics (rok: 2016, tom: -, strony: -), Wydawca: Springer
    Status:
    Accepted for publication

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