Zobrazeno 1 - 10
of 198
pro vyhledávání: '"Lee, Manseob"'
Autor:
Lee, Manseob
In the paper, we show that for a generic $C^1$ vector field $X$ on a closed three dimensional manifold $M$, any isolated transitive set of $X$ is singular hyperbolic. It is a partial answer of the conjecture in \cite{MP}.
Comment: 20page
Comment: 20page
Externí odkaz:
http://arxiv.org/abs/1911.00618
Autor:
Lee, Manseob
Let $M$ be a closed smooth Riemannian manifold $M$, and let $f:M\to M$ be a diffeomorphism. Herein, we demonstrate that (i) if $f$ has the $C^1$ robustly inverse shadowing property on the chain recurrent set $\mathcal{CR}(f)$, then $\mathcal{CR}(f)$
Externí odkaz:
http://arxiv.org/abs/1907.11995
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
In light of the rich results of expansiveness in the dynamics of diffeomorphisms, it is natural to consider another notions of expansiveness such as countably-expansive, measure expansive, $N$-expansive and so on. In this paper, we introduce the noti
Externí odkaz:
http://arxiv.org/abs/1802.03104
Autor:
Lee, Manseob
Publikováno v:
In Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena July 2022 160
Akademický článek
Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
K zobrazení výsledku je třeba se přihlásit.
K zobrazení výsledku je třeba se přihlásit.
Autor:
Lee, Manseob
Let $M$ be a closed smooth manifold and let $f:M\to M$ be a diffeomorphism. $C^1$-generically, a continuum-wise expansive satisfies Axiom A without cycles. Moreover, there is a partially hyperbolic diffeomorphism $f$ such that it is not continuum-wis
Externí odkaz:
http://arxiv.org/abs/1603.01904
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
Publikováno v:
Acta Universitatis Sapientiae: Mathematica, Vol 12, Iss 1, Pp 146-154 (2020)
Let f : M → M be a diffeomorphism on a closed smooth n(≥ 2) dimensional manifold M. We show that C1 generically, if a diffeomorphism f has the orbital shadowing property on locally maximal chain transitive sets which admits a dominated splitting
Externí odkaz:
https://doaj.org/article/5543848496644da1895cd52fda4d32aa