Zobrazeno 1 - 10
of 58
pro vyhledávání: '"measure expansive"'
Autor:
Ahn Jiweon, Lee Manseob
Publikováno v:
Open Mathematics, Vol 20, Iss 1, Pp 1858-1868 (2022)
Let ff be a C2{C}^{2}-diffeomorphism with Axiom A and no cycle condition on a two-dimensional smooth manifold. In this article, we prove that if ff is C2{C}^{2}-robustly weak measure expansive, then it is Q2{Q}^{2}-Anosov. Moreover, we expand the res
Externí odkaz:
https://doaj.org/article/fabc6fb534994b37910ceb61cccbfd43
Autor:
Lee Manseob
Publikováno v:
Open Mathematics, Vol 19, Iss 1, Pp 470-476 (2021)
In this paper, we will assume MM to be a compact smooth manifold and f:M→Mf:M\to M to be a diffeomorphism. We herein demonstrate that a C1{C}^{1} generic diffeomorphism ff is Axiom A and has no cycles if ff is asymptotic measure expansive. Addition
Externí odkaz:
https://doaj.org/article/9aa5ca6a2b624e2f8e21e80c1e2aa86a
Autor:
Lee Manseob, Oh Jumi
Publikováno v:
Open Mathematics, Vol 16, Iss 1, Pp 498-506 (2018)
In this paper, we consider positively weak measure expansive homeomorphisms and flows with the shadowing property on a compact metric space X. Moreover, we prove that if a homeomorphism (or flow) has a positively weak expansive measure and the shadow
Externí odkaz:
https://doaj.org/article/29ca5f0d18814e8da94d71a71c93df18
Autor:
Manseob Lee
Publikováno v:
Advances in Difference Equations, Vol 2019, Iss 1, Pp 1-12 (2019)
Abstract In the study, we consider continuum-wise expansiveness for the homoclinic class of a kind of C1 $C^{1}$-robustly expansive dynamical system. First, we show that if the homoclinic class H(p,f) $H(p, f)$, which contains a hyperbolic periodic p
Externí odkaz:
https://doaj.org/article/678092d45caf4d04a64fc2b75e8744ba
Autor:
Manseob Lee
Publikováno v:
Mathematics, Vol 8, Iss 8, p 1232 (2020)
In this paper, we prove that for a generically C1 vector field X of a compact smooth manifold M, if a homoclinic class H(γ,X) which contains a hyperbolic closed orbit γ is measure expansive for X then H(γ,X) is hyperbolic.
Externí odkaz:
https://doaj.org/article/d787cc214137497cbf8f1f6f4d234db4
Autor:
Manseob Lee
Publikováno v:
Open Mathematics, Vol 19, Iss 1, Pp 470-476 (2021)
In this paper, we will assume M M to be a compact smooth manifold and f : M → M f:M\to M to be a diffeomorphism. We herein demonstrate that a C 1 {C}^{1} generic diffeomorphism f f is Axiom A and has no cycles if f f is asymptotic measure expansive
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::13655e6ce6990b9c61a9f72e78b3296a
https://doi.org/10.1515/math-2021-0037
https://doi.org/10.1515/math-2021-0037
Autor:
Manseob Lee
Publikováno v:
Mathematics, Vol 7, Iss 10, p 980 (2019)
We show that if a differentiable map f of a compact smooth Riemannian manifold M is C 1 robustly positive continuum-wise expansive, then f is expanding. Moreover, C 1 -generically, if a differentiable map f of a compact smooth Riemannian manifold M i
Externí odkaz:
https://doaj.org/article/a7e185a7047f431687e175469d4922c8
Akademický článek
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Autor:
Manseob Lee, Jumi Oh
Publikováno v:
Open Mathematics, Vol 16, Iss 1, Pp 498-506 (2018)
In this paper, we consider positively weak measure expansive homeomorphisms and flows with the shadowing property on a compact metric space X. Moreover, we prove that if a homeomorphism (or flow) has a positively weak expansive measure and the shadow
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::48fa4718cac9a1bd05764b3faf410bcc
https://doaj.org/article/29ca5f0d18814e8da94d71a71c93df18
https://doaj.org/article/29ca5f0d18814e8da94d71a71c93df18
Akademický článek
Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
K zobrazení výsledku je třeba se přihlásit.
K zobrazení výsledku je třeba se přihlásit.