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2015 | 29 | 1 | 7-17
Tytuł artykułu

On Computer-Assisted Proving The Existence Of Periodic And Bounded Orbits

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
We announce a new result on determining the Conley index of the Poincaré map for a time-periodic non-autonomous ordinary differential equation. The index is computed using some singular cycles related to an index pair of a small-step discretization of the equation. We indicate how the result can be applied to computer-assisted proofs of the existence of bounded and periodic solutions. We provide also some comments on computer-assisted proving in dynamics.
Wydawca
Rocznik
Tom
29
Numer
1
Strony
7-17
Opis fizyczny
Daty
wydano
2015-09-01
otrzymano
2015-03-01
online
2015-09-30
Twórcy
  • Institute of Mathematics, Faculty of Mathematics and Computer Science, Jagiellonian University, Łojasiewicza 6 30–348 Kraków, Poland, srzednicki@im.uj.edu.pl
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Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.doi-10_1515_amsil-2015-0001
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