Zobrazeno 1 - 10
of 23
pro vyhledávání: '"Shilin, Ivan"'
We construct an open set of endomorphisms of an arbitrary two-dimensional manifold which have attractors and non-wandering sets with non-invariant interior. This is a notable contrast to the properties of diffeomorphisms, where the interior must be i
Externí odkaz:
http://arxiv.org/abs/2305.08582
This is a provisional version of an article, intended to be devoted to properties of attractor's intertior for smooth maps (not diffeomorphisms). We were originally motivated for this research by Pinhero's Theorem A from his recent preprint, and in S
Externí odkaz:
http://arxiv.org/abs/2202.10171
Autor:
Minkov, Stanislav, Shilin, Ivan
For Milnor, statistical, and minimal attractors, we construct examples of smooth flows $\varphi$ on $S^2$ for which the attractor of the Cartesian square of $\varphi$ is smaller than the Cartesian square of the attractor of $\varphi$. In the example
Externí odkaz:
http://arxiv.org/abs/2011.04824
Autor:
Shilin, Ivan
An orientation-preserving non-contractible separatrix loop of a hyperbolic saddle of a vector field on a two-dimensional surface may be accumulated by a separatrix of the same saddle. We study the unfolding of such loops in generic one-parameter fami
Externí odkaz:
http://arxiv.org/abs/1903.01933
Autor:
Okunev, Alexey, Shilin, Ivan
The statistical and Milnor attractors of step skew products over the Bernoulli shift are studied. For the case of the fiber a circle we prove that for a topologically generic step skew product the statistical and the Milnor attractor coincide and are
Externí odkaz:
http://arxiv.org/abs/1703.01763
Autor:
Shilin, Ivan
We prove that for every smooth compact manifold $M$ and any $r \ge 1$, whenever there is an open domain in $\mathrm{Diff}^r(M)$ exhibiting a persistent homoclinic tangency related to a basic set with a sectionally dissipative periodic saddle, topolog
Externí odkaz:
http://arxiv.org/abs/1604.02437
Autor:
Auer, Sören, Barone, Dante A. C., Bartz, Cassiano, Cortes, Eduardo G., Jaradeh, Mohamad Yaser, Karras, Oliver, Koubarakis, Manolis, Mouromtsev, Dmitry, Pliukhin, Dmitrii, Radyush, Daniil, Shilin, Ivan, Stocker, Markus, Tsalapati, Eleni
Publikováno v:
Scientific Reports; 5/4/2023, Vol. 13 Issue 1, p1-16, 16p
Akademický článek
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Akademický článek
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Autor:
Khaydarova, Rezeda, Mouromtsev, Dmitriy, Fishchenko, Vladislav, Shmatkov, Vladislav, Lapaev, Maxim, Shilin, Ivan
Publikováno v:
International Journal of Embedded & Real-Time Communication Systems; Jul-Sep2021, Vol. 12 Issue 3, p1-18, 18p