Zobrazeno 1 - 10
of 29
pro vyhledávání: '"A. N. Vetokhin"'
Autor:
A. N. Vetokhin
Publikováno v:
Differential Equations. 57:975-983
Abstract We consider a family of dynamical systems defined on a noncompact metric space and continuously depending on a parameter varying in some metric space. For any such family, the topological entropy of the dynamical systems in the family is stu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1b1ec1e478e3f979f8e774248bacf01e
https://doi.org/10.1134/s0012266121080012
https://doi.org/10.1134/s0012266121080012
Autor:
A. N. Vetokhin
Publikováno v:
Functional Analysis and Its Applications. 55:210-216
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5636dc67e0f88255610b36ed4d1fd5ea
https://doi.org/10.1134/s0016266321030035
https://doi.org/10.1134/s0016266321030035
Autor:
Alexandr N Vetokhin
Publikováno v:
Функциональный анализ и его приложения. 55:42-50
Рассматриваются семейства непрерывных отображений на отрезке, непрерывно зависящих от параметра. Всякое $G_\delta$-множество, плотное в про
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::49f3f2705911e777ff794316b3ae4efc
https://doi.org/10.4213/faa3841
https://doi.org/10.4213/faa3841
Autor:
A. N. Vetokhin
Publikováno v:
Moscow University Mathematics Bulletin. 75:246-252
For a family of non-autonomous dynamical systems continuously depending on a parameter, the set of lower semicontinuous points and the set of upper semicontinuous points of the $$\varepsilon$$ -capacity of its systems considered a function of the par
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::eeaee450cade180f92f0957c2f418d4d
https://doi.org/10.3103/s0027132220060078
https://doi.org/10.3103/s0027132220060078
Autor:
A. N. Vetokhin
Publikováno v:
Differential Equations. 56:131-134
We construct a continuous family of smooth time-varying dynamical systems on a closed interval such that the topological entropy of this family does not belong to the second Baire class as a function of the parameter.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ba8dcbafb8c23b569562eddb6ecd1dee
https://doi.org/10.1134/s0012266120010140
https://doi.org/10.1134/s0012266120010140
Autor:
A. N. Vetokhin
Publikováno v:
Differential Equations. 55:1275-1283
For each everywhere dense subset $${\cal G}$$ of type Gδ in a complete metric separable zero-dimensional space, we construct a family of dynamical systems continuously depending on a parameter varying in this space such that the set of points of low
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::00ca35cc62499c07d0bc080e6703240a
https://doi.org/10.1134/s0012266119100021
https://doi.org/10.1134/s0012266119100021
Autor:
A. N. Vetokhin
Publikováno v:
Mathematical Notes. 106:327-333
We consider a parametric family of nonautonomous dynamical systems continuously depending on a parameter from some metric space. For any such family, the topological entropy of its dynamical systems is studied as a function of the parameter from the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::447d297966c941ecc5b0ec3becd11184
https://doi.org/10.1134/s0001434619090025
https://doi.org/10.1134/s0001434619090025
Autor:
Alexandr N Vetokhin
Publikováno v:
Matematicheskie Zametki. 106:333-340
Рассматривается параметрическое семейство неавтономных динамических систем, непрерывно зависящих от параметра из некоторого метриче
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::dbffc679082dc4b5820a4c50464d27b1
https://doi.org/10.4213/mzm11970
https://doi.org/10.4213/mzm11970
Autor:
A. N. Vetokhin
Publikováno v:
Moscow University Mathematics Bulletin. 73:34-37
A parametric family of linear differential systems with continuous coefficients bounded on the semi-axis and analytically dependent on a complex parameter is considered. It is established that the majorant (minorant) of the Lyapunov exponent consider
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::055ec59160ec89fba6b3e5c742105f10
https://doi.org/10.3103/s0027132218010060
https://doi.org/10.3103/s0027132218010060
Autor:
A. N. Vetokhin
Publikováno v:
Moscow University Mathematics Bulletin. 74:131-133
The description of the set of lower semi-continuity points and the set of upper semi-continuity points of the topological entropy of the systems considered as a function on some parameter is obtained for a family of dynamical systems continuously dep
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::aeeb2b9fd64a3e443dbcc0d9b4a8dcce
https://doi.org/10.3103/s0027132219030069
https://doi.org/10.3103/s0027132219030069