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 for diffusion in dynamical systems

2018/29/B/ST1/00109

Keywords:

Arnold diffusion symbolic dynamics invariant distributions

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. małopolskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr hab. Maciej Capiński 

Number of co-investigators in the project: 3

Call: OPUS 15 - announced on 2018-03-15

Amount awarded: 582 000 PLN

Project start date (Y-m-d): 2019-02-18

Project end date (Y-m-d): 2022-08-17

Project duration:: 42 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.

Equipment purchased [PL]

  1. Macbook Air (15 000 PLN)

Information in the final report

  • Publication in academic press/journals (6)
  1. Computer Assisted Proof of Drift Orbits Along Normally Hyperbolic Manifolds
    Authors:
    Maciej J. Capinski, Jorge Gonzalez, Jean-Pierre Marco, J.D. Mireles James
    Academic press:
    Communications in Nonlinear Science and Numerical Simulation (rok: 2022, tom: 106, strony: 105970 1-21), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.cnsns.2021.105970 - link to the publication
  2. Computer Assisted Proof of Drift Orbits Along Normally Hyperbolic Manifolds II: Application to the Restricted Three Body Problem
    Authors:
    Maciej J. Capiński, Natalia Wodka
    Academic press:
    Communications in Nonlinear Science and Numerical Simulation (rok: 2022, tom: 111, strony: 106424 1-28), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.cnsns.2022.106424 - link to the publication
  3. Computer Assisted Proofs of Two-Dimensional Attracting Invariant Tori for ODEs
    Authors:
    M.J. Capinski, E. Fleurantin and J.D. Mireles James
    Academic press:
    Discrete and Continuous Dynamical Systems A (rok: 2020, tom: vol. 40 no. 12, strony: 6681-6707), Wydawca: AIMS
    Status:
    Published
    DOI:
    10.3934/dcds.2020162 - link to the publication
  4. Oscillatory motions and parabolic manifolds at infinity in the planar circular restricted three body problem
    Authors:
    Maciej J. Capiński, Marcel Guardia, Pau Martín, Tere M-Seara, Piotr Zgliczyński
    Academic press:
    Journal of Differential Equations (rok: 2022, tom: 320, strony: 316–370), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jde.2022.02.056 - link to the publication
  5. Using normal forms to study Oterma's transition in the Planar RTBP
    Authors:
    Gladston Duarte, Angel Jorba
    Academic press:
    Discrete and Continuous Dynamical Systems B (rok: 2023, tom: 28(1), strony: 230-244), Wydawca: AIMS
    Status:
    Published
    DOI:
    10.3934/dcdsb.2022073 - link to the publication
  6. Arnold Diffusion, Quantitative Estimates and Stochastic Behavior in the Three-Body Problem
    Authors:
    M.J. Capinski, M. Gidea
    Academic press:
    Communications on Pure and Applied Mathematics , Wydawca: Wiley
    Status:
    Accepted for publication
    DOI:
    10.1002/cpa.22014 - link to the publication

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