Results 1 to 10 of about 221 (48)
Asymptotic measure-expansiveness for generic diffeomorphisms
Open Mathematics, 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.
Lee Manseob
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Veterinary Dermatology, Volume 32, Issue 6, Page 668-e178, December 2021., 2021 Background Antimicrobial resistance in Staphylococcus pseudintermedius (SP) and the prevalence of meticillin‐resistant SP (MRSP) is increasing in dogs worldwide. Objectives To evaluate the influence of hospital size on antimicrobial resistance of SP and whether restricted use of antimicrobials based on antibiograms could reduce the identification of ...
Keita Iyori +5 more
wiley +1 more source
Causality and independence in perfectly adapted dynamical systems
Journal of Causal Inference, 2023 Perfect adaptation in a dynamical system is the phenomenon that one or more variables have an initial transient response to a persistent change in an external stimulus but revert to their original value as the system converges to equilibrium.
Blom Tineke, Mooij Joris M.
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Weak measure expansivity of C2 dynamics
Open Mathematics, 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 results
Ahn Jiweon, Lee Manseob
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CONTROLLABILITY PROPERTIES OF A CLASS OF SYSTEMS MODELING SWIMMING MICROSCOPIC ORGANISMS [PDF]
, 2007 We consider a finite-dimensional model for the motion of microscopic organisms whose propulsion exploits the action of a layer of cilia covering its surface.
M. Sigalotti, J. Vivalda
semanticscholar +1 more source
Homoclinic classes with shadowing
Journal of Inequalities and Applications, 2012 We show that for C1 generic diffeomorphisms, an isolated homoclinic class is shadow-able if and only if it is a hyperbolic basic set.Mathematics Subject Classification 2000: 37C20; 37C05; 37C29; 37D05.
Jiweon Ahn, Keonhee Lee, Manseob Lee
semanticscholar +2 more sources
The ergodic shadowing property from the robust and generic view point
Advances in Differential Equations, 2014 In this paper, we discuss that if a diffeomorphisms has the C1-stably ergodic shadowing property in a closed set, then it is a hyperbolic elementary set.
Manseob Lee
semanticscholar +2 more sources
Continuum-wise expansive diffeomorphisms and conservative systems
Journal of Inequalities and Applications, 2014 We prove that C1-generically, continuum-wise expansive diffeomorphisms satisfy both Axiom A and the no-cycle condition. Moreover, (i) if a volume-preserving diffeomorphism belongs to the C1-interior of the set of all continuum-wise expansive volume ...
Manseob Lee
semanticscholar +2 more sources
Chain components with C1-stably orbital shadowing
Advances in Differential Equations, 2013 Let f:M→M be a diffeomorphism on a C∞n-dimensional manifold. Let Cf(p) be the chain component of f associated to a hyperbolic periodic point p. In this paper, we show that (i) if f has the C1-stably orbitally shadowing property on the chain recurrent set
Manseob Lee
semanticscholar +2 more sources
Robust transitivity and topological mixing for $C^1$-flows [PDF]
, 2003 We prove that non-trivial homoclinic classes of $C^r$-generic flows are topologically mixing. This implies that given $\Lambda$ a non-trivial $C^1$-robustly transitive set of a vector field $X$, there is a $C^1$-perturbation $Y$ of $X$ such that the ...
Abdenur, Flavio +2 more
core +1 more source