Zobrazeno 1 - 10
of 10
pro vyhledávání: '"Ngocthach Nguyen"'
Publikováno v:
Topological Methods in Nonlinear Analysis; 2024, Vol. 63 Issue 2, p645-659, 15p
Autor:
Ngocthach Nguyen, Keonhee Lee
Publikováno v:
Journal of Differential Equations. 269:7574-7604
In this paper we present a measurable version of the classical spectral decomposition theorem for flows. More precisely, we prove that if a flow ϕ on a compact metric space X is invariantly measure expanding on its chain recurrent set C R ( ϕ ) and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fdaf2df84d89b30bb6b9ed3015190072
https://doi.org/10.1016/j.jde.2020.06.002
https://doi.org/10.1016/j.jde.2020.06.002
Publikováno v:
Journal of Differential Equations. 269:125-147
In this paper, we use the Gromov-Hausdorff distances between two global attractors (which belong to disjoint phase spaces) and two dynamical systems to consider the continuous dependence of the global attractors and the stability of the dynamical sys
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1d2729b3d9519acd8fc0dec7ebaaf4b8
https://doi.org/10.1016/j.jde.2019.11.097
https://doi.org/10.1016/j.jde.2019.11.097
Publikováno v:
Discrete & Continuous Dynamical Systems - A. 40:2267-2283
In this paper, we introduce the concepts of rescaled expansiveness and the rescaled shadowing property for flows on metric spaces which are dynamical properties, and present a spectral decomposition theorem for flows. More precisely, we prove that if
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b3516da4c44ae9381cea4c454d5e762a
https://doi.org/10.3934/dcds.2020113
https://doi.org/10.3934/dcds.2020113
Publikováno v:
Journal of Differential Equations. 265:2280-2295
We discuss a characterization of countably expansive flows in measure-theoretical terms as in the discrete case [2] . More precisely, we define the countably expansive flows and prove that a homeomorphism of a compact metric space is countable expans
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cc597af9acd899773e86be6eff5d5aea
https://doi.org/10.1016/j.jde.2018.04.036
https://doi.org/10.1016/j.jde.2018.04.036
Publikováno v:
Discrete & Continuous Dynamical Systems - A. 38:2487-2503
In this paper, we introduce the notions of expansiveness, shadowing property and topological stability for homeomorphisms on noncompact metric spaces which are dynamical properties and equivalent to the classical definitions in case of compact metric
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d34f2bf4f22a7e12d905294a8f0e7006
https://doi.org/10.3934/dcds.2018103
https://doi.org/10.3934/dcds.2018103
Akademický článek
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Akademický článek
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Akademický článek
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Autor:
Ji Hoon Lee, Ngocthach Nguyen
Publikováno v:
Journal of Mathematical Analysis and Applications. 494:124623
In this paper, we study the Gromov-Hausdorff stability and continuous dependence of the inertial manifolds under perturbations of the domain and equation. More precisely, we use the Gromov-Hausdorff distances between two inertial manifolds and two dy
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f55dffd96835857b5125eaddc54fa161
https://doi.org/10.1016/j.jmaa.2020.124623
https://doi.org/10.1016/j.jmaa.2020.124623