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pro vyhledávání: '"Gierzkiewicz, Anna"'
Autor:
Gierzkiewicz, Anna, Szczelina, Robert
We present adaptation of the relatively simple topological argument to show the existence of many periodic orbits in a system of Delay Differential Equations. Namely, we prove a Sharkovskii-type theorem: if the system has a periodic orbit of basic pe
Externí odkaz:
http://arxiv.org/abs/2411.19190
The infinite spin problem is a problem concerning the rotational behavior of total collision orbits in the $n$-body problem. The question also makes sense for partial collision. When a~cluster of bodies tends to a (partial) collision, then its normal
Externí odkaz:
http://arxiv.org/abs/2408.16409
Autor:
Gierzkiewicz, Anna, Zgliczyński, Piotr
We extend Sharkovskii's theorem to the cases of $N$-dimensional maps which are close to 1D maps, with an attracting $n$-periodic orbit. We prove that, with relatively weak topological assumptions, there exist also $m$-periodic orbits for all $m\trian
Externí odkaz:
http://arxiv.org/abs/2106.11711
Autor:
Gierzkiewicz, Anna
Publikováno v:
Commun Nonlinear Sci Numer Simulat 96 (2021) 105680
The paper contains a rigorous proof of existence of symbolic dynamics chaos in the generalized H\'enon map's 4th iterate $H^4$, which was conjectured in the paper \textit{A 3D Smale Horseshoe in a Hyperchaotic Discrete-Time System} of Li and Yang, 20
Externí odkaz:
http://arxiv.org/abs/2101.10416
Autor:
Gierzkiewicz, Anna, Zgliczyński, Piotr
We prove the existence of $n$-periodic orbits for almost all $n\in\mathbb{N}$ in the R\"ossler system with attracting periodic orbit, for two sets of parameters. The proofs are computer-assisted.
Externí odkaz:
http://arxiv.org/abs/2101.10406
Autor:
Gierzkiewicz, Anna, Zgliczyński, Piotr
The rotation of Hyperion is often modelled by equations of motion of an ellipsoidal satellite. The model is expected to be chaotic for large range of parameters. The paper contains a rigorous computer-assisted proof of the existence of symbolic dynam
Externí odkaz:
http://arxiv.org/abs/1901.05499
Autor:
Gierzkiewicz, Anna, Zgliczyński, Piotr
Publikováno v:
In Journal of Differential Equations 25 March 2022 314:733-751
Akademický článek
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Akademický článek
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Autor:
Gierzkiewicz, Anna, Wójcik, Klaudiusz
Publikováno v:
Topol. Methods Nonlinear Anal. 32, no. 2 (2008), 313-326
We give a sufficient condition for the existence of an isolating block $B$ for an isolated invariant set $S$ such that the inclusion induced map in cohomology $H^* (B)\to H^*(S)$ is an isomorphism. We discuss the Easton's result concerning the specia
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::5573646838422c35bbf8f84a172ddec1
https://ruj.uj.edu.pl/xmlui/handle/item/86085
https://ruj.uj.edu.pl/xmlui/handle/item/86085