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Information on the principal investigator and host institution

Information of the project and the call

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Lie systems: theory, generalizations, and applications

2012/04/M/ST1/00523

Keywords:

Lie system superposition rule Lie algebra differential equation supermanifold Poisson structure Lie algebroid

Descriptors:

  • ST1_12: Mathematical methods of physics
  • ST1_5: Geometry
  • 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 :

INSTYTUT MATEMATYCZNY PAN

woj. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Janusz Grabowski 

Number of co-investigators in the project: 3

Call: HARMONIA 2 - announced on 2011-12-15

Amount awarded: 234 000 PLN

Project start date (Y-m-d): 2012-09-27

Project end date (Y-m-d): 2016-01-26

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

Project status: Project settled

Equipment purchased [PL]

  1. zakup aparatury nie był planowany.

Information in the final report

  • Publication in academic press/journals (12)
  • Articles in post-conference publications (1)
  1. A quasi-Lie schemes approach to the second-order Gambier equation
    Authors:
    J.F. Carinena, J. de Lucas, P. Guha
    Academic press:
    Symmetry, Integrability and Geometry: Methods and Applications (rok: 2013, tom: 9, strony: 026, 23 pages), Wydawca: SIGMA
    Status:
    Published
    DOI:
    10.3842/SIGMA.2013.026 - link to the publication
  2. Quasi-Lie families, schemes, invariants and their applications to Abel equations
    Authors:
    J.F. Cariñena, J. de Lucas
    Academic press:
    J. Math. Anal. Appl (rok: 2015, tom: 430, strony: 648-671), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2015.04.080 - link to the publication
  3. Geometry of Riccati equations over normed division algebras
    Authors:
    J. de Lucas, M. Tobolski and S. Vilariño
    Academic press:
    J. Math. Anal. Appl. (rok: 2016, tom: 440, strony: 394-414), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2016.03.031 - link to the publication
  4. A new application of k-symplectic Lie systems
    Authors:
    J. de Lucas, M. Tobolski, S. Vilariño
    Academic press:
    Int. J. Geom. Methods Mod. Phys. (rok: 2015, tom: 12, strony: 1550071 (6 pages)), Wydawca: World Scientific
    Status:
    Published
    DOI:
    10.1142/S0219887815500711 - link to the publication
  5. From constants of motion to superposition rules for Lie-Hamilton systems
    Authors:
    A. Ballesteros, J.F. Carinena, F.J. Herranz, J. de Lucas, C. Sardón
    Academic press:
    J. Phys. A (rok: 2013, tom: 46, strony: 285203 (25pp)), Wydawca: IOP Publishing
    Status:
    Published
    DOI:
    10.1088/1751-8113/46/28/285203 - link to the publication
  6. Lie-Hamilton systems on the plane: applications and superposition rules
    Authors:
    A. Blasco, F.J. Herranz, J. de Lucas and C. Sardón
    Academic press:
    J. Phys. A (rok: 2015, tom: 48, strony: 345202), Wydawca: IOP Publishing
    Status:
    Published
    DOI:
    10.1088/1751- - link to the publication
  7. Lie-Hamilton systems: theory and applications
    Authors:
    J.F. Carinena, J. de Lucas, C. Sardón
    Academic press:
    Int. J. Geom. Methods Mod. Phys. (rok: 2013, tom: 10, strony: 1350047 (25 pages)), Wydawca: World Scientific
    Status:
    Published
    DOI:
    10.1142/S0219887813500473 - link to the publication
  8. Dirac-Lie systems and Schwarzian equations
    Authors:
    J.F. Carinena, J. Grabowski, J. de Lucas, C. Sardón
    Academic press:
    J. Differential Equations (rok: 2014, tom: 257, strony: 2303-2340), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jde.2014.05.040 - link to the publication
  9. Lie symmetries for Lie systems: applications to systems of ODEs and PDEs
    Authors:
    P. Garcia-Estevez, F.J. Herranz, J. de Lucas and C. Sardón
    Academic press:
    Appl. Math. Comput. (rok: 2016, tom: 273, strony: 435-452), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.amc.2015.09.078 - link to the publication
  10. Geometry of Lie integrability by quadratures
    Authors:
    J.F. Cariñena, F. Falceto, J. Grabowski, M.F. Rañada
    Academic press:
    J. Phys. A (rok: 2015, tom: 48, strony: 215206 (18pp)), Wydawca: IOP Publishing
    Status:
    Published
    DOI:
    10.1088/1751-8113/48/21/215206 - link to the publication
  11. Lie-Hamilton systems on the plane: Properties, classification and applications
    Authors:
    A. Ballesteros, A. Blasco, F.J. Herranz, J. de Lucas, C. Sardón
    Academic press:
    J. Differential Equations (rok: 2015, tom: 258, strony: 2873-2907), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jde.2014.12.031 - link to the publication
  12. k-symplectic Lie systems: theory and applications
    Authors:
    J. de Lucas and S. Vilariño
    Academic press:
    J. Differential Equations (rok: 2015, tom: 258, strony: 2221-2255), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jde.2014.12.005 - link to the publication
  1. Jacobi-Lie systems: theory and low-dimensional classiffication
    Authors:
    J. de Lucas, F.J. Herranz, S. Vilariño
    Conference:
    The 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications (rok: 2015, ), Wydawca: AIMS
    Data:
    konferencja July 07 - July 11, 2014
    Status:
    Published
    DOI:
    link to the publication

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