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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Diffusion in the n-body problem

2021/41/B/ST1/00407

Keywords:

Arnold diffusion celestial mechanics topological methods computer assisted proofs

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 :

Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie, Wydział Matematyki Stosowanej

woj.

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr hab. Maciej Jerzy Capiński 

Number of co-investigators in the project: 3

Call: OPUS 21 - announced on 2021-03-15

Amount awarded: 549 000 PLN

Project start date (Y-m-d): 2022-01-10

Project end date (Y-m-d): 2026-01-09

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

Project status: Pending project

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 (4)
  1. Breakdown of Heteroclinic Connections in the Analytic Hopf-Zero Singularity: Rigorous Computation of the Stokes Constant
    Authors:
    Inmaculada Baldomá, Maciej J. Capiński, Marcel Guardia, Tere M. Seara
    Academic press:
    Journal of Nonlinear Science (rok: 2023, tom: 33, strony: 17168), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00332-022-09882-x - link to the publication
  2. Breakdown of Heteroclinic Connections in the Analytic Hopf-Zero Singularity: Rigorous Computation of the Stokes Constant
    Authors:
    Inmaculada Baldomá, Maciej J. Capiński, Marcel Guardia, Tere M. Seara
    Academic press:
    Journal of Nonlinear Science (rok: 2023, tom: 33, strony: 17168), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00332-022-09882-x - link to the publication
  3. Computer assisted proofs for transverse collision and near collision orbits in the restricted three body problem
    Authors:
    Maciej J. Capiński, Shane Kepley, Jason D. Mireles James
    Academic press:
    Journal of Differential Equations (rok: 2023, tom: 366, strony: 132–191), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jde.2023.03.053 - link to the publication
  4. Computer assisted proofs for transverse collision and near collision orbits in the restricted three body problem
    Authors:
    Maciej J. Capiński, Shane Kepley, Jason D. Mireles James
    Academic press:
    Journal of Differential Equations (rok: 2023, ), Wydawca: Elsevier
    Status:
    Accepted for publication

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