Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

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Morse theoretical methods in Hamiltonian dynamics

2016/23/G/ST1/04081

Keywords:

Floer theory Hamiltonian systems Lagrangian systems Conley index homoclinics heteroclinics magnetic flows symplectic manifolds

Descriptors:

  • ST1_10: Ordinary differential equations and dynamical systems
  • ST1_6: Topology
  • ST1_8: Analysis

Panel:

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

Host institution :

Politechnika Gdańska, Wydział Fizyki Technicznej i Matematyki Stosowanej

woj. pomorskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Joanna Janczewska 

Number of co-investigators in the project: 3

Call: BEETHOVEN 2 - announced on 2016-09-15

Amount awarded: 548 320 PLN

Project start date (Y-m-d): 2018-01-03

Project end date (Y-m-d): 2022-01-02

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

Project status: Project settled

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 (16)
  1. The Maslov index and the spectral flow - revisited
    Authors:
    Marek Izydorek, Joanna Janczewska, Nils Waterstraat
    Academic press:
    Fixed Point Theory and Applications (rok: 2019, tom: online, strony: 20 pp.), Wydawca: SpringerOpen
    Status:
    Published
    DOI:
    10.1186/s13663-019-0655-6 - link to the publication
  2. The Arnold conjecture in CP^{n} and the Conley index
    Authors:
    Luca Asselle, Marek Izydorek, Maciej Starostka
    Academic press:
    Nonlinear Analysis. Theory, Methods & Applications. An International Multidisciplinary Journal , Wydawca: Elsevier Ltd
    Status:
    Submitted
    DOI:
    brak - link to the publication
  3. Bifurcation of equilibrium forms of a gas column rotating with constant speed around its axis of symmetry
    Authors:
    Joanna Janczewska, Anita Zgorzelska
    Academic press:
    Nonlinear Analysis: Real World Applications (rok: 2021, tom: 62, strony: 10 pp.), Wydawca: Elsevier Ltd
    Status:
    Published
    DOI:
    10.1016/j.nonrwa.2021.103386 - link to the publication
  4. On the existence of homoclinic type solutions of a class of inhomogenous second order Hamiltonian systems
    Authors:
    Jakub Ciesielski, Joanna Janczewska, Nils Waterstraat
    Academic press:
    Journal of Dynamics and Differential Equations (rok: 2020, tom: 32, strony: 1343-1356), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10884-019-09774-x - link to the publication
  5. The equivariant spectral flow and bifurcation of periodic solutions of Hamiltonian systems
    Authors:
    Marek Izydorek, Joanna Janczewska, Nils Waterstraat
    Academic press:
    Nonlinear Analysis. Theory, Methods & Applications. An International Multidisciplinary Journal (rok: 2021, tom: 211, strony: 17 pp.), Wydawca: Elsevier Ltd
    Status:
    Published
    DOI:
    10.1016/j.na.2021.112475 - link to the publication
  6. On a Comparison Principle and the Uniqueness of Spectral Flow
    Authors:
    Maciej Starostka, Nils Waterstraat
    Academic press:
    Mathematische Nachrichten , Wydawca: Wiley-VCH Verlag GmbbH&Co.
    Status:
    Accepted for publication
    DOI:
    brak - link to the publication
  7. Morse homology for the Hamiltonian action in cotangent bundles
    Authors:
    Luca Asselle, Maciej Starostka
    Academic press:
    Journal of the European Mathematical Society , Wydawca: EMS Press
    Status:
    Submitted
    DOI:
    brak - link to the publication
  8. Bernstein-type theorem for Phi-Laplacian
    Authors:
    Jakub Maksymiuk, Jakub Ciesielski, Maciej Starostka
    Academic press:
    Fixed Point Theory and Applications (rok: 2019, tom: online, strony: 9 pp.), Wydawca: SpringerOpen
    Status:
    Published
    DOI:
    10.1186/s13663-018-0651-2 - link to the publication
  9. Connected components of the space of proper gradient vector fields
    Authors:
    Maciej Starostka
    Academic press:
    Journal of Fixed Point Theory and Applications (rok: 2022, tom: 24, strony: Paper No. 2, 5 pp.), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11784-021-00900-1 - link to the publication
  10. Homoclinics for singular strong force Lagrangian systems
    Authors:
    Marek Izydorek, Joanna Janczewska, Jean Mawhin
    Academic press:
    Advances in Nonlinear Analysis (rok: 2020, tom: 9, strony: 644-653), Wydawca: DE GRUYTER
    Status:
    Published
    DOI:
    10.1515/anona-2020-0018 - link to the publication
  11. The Palais-Smale condition for the Hamiltonian action on a mixed regularity space of loops in cotangent bundles and applications
    Authors:
    Luca Asselle, Maciej Starostka
    Academic press:
    Calculus of Variations and Partial Differential Equations (rok: 2020, tom: 59, strony: pp. 28), Wydawca: Springer Verlag
    Status:
    Published
    DOI:
    10.1007/s00526-020-01762-0 - link to the publication
  12. Towards a Classification of Networks with Asymmetric Inputs
    Authors:
    Manuela Aguiar, Ana Dias, Pedro Soares
    Academic press:
    Nonlinearity (rok: 2021, tom: 34, strony: 5630-5661), Wydawca: IOP Publishing & London Mathematical Society
    Status:
    Published
    DOI:
    10.1007/s11784-021-00900-1 - link to the publication
  13. Homoclinics for singular strong force Lagrangian systems in R^{N}
    Authors:
    Marek Izydorek, Joanna Janczewska, Nils Waterstraat
    Academic press:
    Calculus of Variations and Partial Differential Equations (rok: 2021, tom: 60, strony: paper no. 73, 18 pp.), Wydawca: Springer Verlag
    Status:
    Published
    DOI:
    10.1007/s00526-021-01942-6 - link to the publication
  14. Subharmonic solutions for a class of Lagrangian systems
    Authors:
    Anouar Bahrouni, Marek Izydorek, Joanna Janczewska
    Academic press:
    Discrete and Continuous Dynamical Systems Series S (rok: 2019, tom: 12, strony: 1841-1850), Wydawca: AIMS American Institute of Mathematical Sciences
    Status:
    Published
    DOI:
    10.3934/dcdss.2019121 - link to the publication
  15. The E-Cohomological Conley Index, Cup-Lengths and the Arnold Conjecture on T^2n
    Authors:
    Maciej Starostka, Nils Waterstraat
    Academic press:
    Advanced Nonlinear Studies (rok: 2019, tom: 19 (3), strony: 519-528), Wydawca: DE GRUYTER
    Status:
    Published
    DOI:
    10.1515/ans-2019-2044 - link to the publication
  16. A convergence result for mountain pass periodic solutions of perturbed Hamiltonian systems
    Authors:
    Marek Izydorek, Joanna Janczewska, Pedro Soares
    Academic press:
    Communications in Contemporary Mathematics , Wydawca: World Scientific Publishing Co
    Status:
    Accepted for publication
    DOI:
    brak - link to the publication

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