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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Arnold diffusion in the restricted three-body problem

2016/21/B/ST1/02453

Keywords:

dynamical systems stability Arnold diffusion

Descriptors:

  • ST1_10: Ordinary differential equations and dynamical systems
  • ST1_16: Numerical analysis

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 11 - announced on 2016-03-15

Amount awarded: 160 000 PLN

Project start date (Y-m-d): 2017-01-17

Project end date (Y-m-d): 2019-01-16

Project duration:: 24 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. drukarka (800 PLN)
  2. Macbook Air (5 800 PLN)

Information in the final report

  • Publication in academic press/journals (4)
  1. Computer assisted proof of the existence of the Lorenz attractor in the Shimizu-Morioka system
    Authors:
    Maciej J. Capiński, Dmitry Turayev, Piotr Zgliczyński
    Academic press:
    Nonlinearity (rok: 2018, tom: 31, strony: 5410–5440), Wydawca: IOPscience
    Status:
    Published
    DOI:
    10.1088/1361-6544/aae032 - link to the publication
  2. Computer-Assisted Proof of Shil'nikov Homoclinics: With Application to the Lorenz-84 Model
    Authors:
    Maciej J. Capinski, Anna Wasieczko-Zając
    Academic press:
    SIAM J. APPLIED DYNAMICAL SYSTEMS (rok: 2017, tom: Vol. 16, No. 3, strony: 1453–1473), Wydawca: Society for Industrial and Applied Mathematics
    Status:
    Published
    DOI:
    10.1137/16M1079956 - link to the publication
  3. Persistence of normally hyperbolic invariant manifolds in the absence of rate conditions
    Authors:
    Maciej J. Capinski, Hieronim Kubica
    Academic press:
    Journal of Differential Equations , Wydawca: Elsevier
    Status:
    Submitted
    DOI:
    brak - link to the publication
  4. Beyond the Melnikov method II: multidimensional setting
    Authors:
    Maciej J. Capinski, Piotr Zgliczyński
    Academic press:
    Journal of Differential Equations (rok: 2018, tom: 265, strony: 3988-4015), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jde.2018.05.028 - link to the publication

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