Results 11 to 20 of about 221 (48)

Stably asymptotic average shadowing property and dominated splitting

Advances in Differential Equations, 2012
Let f be a diffeomorphism of a closed n-dimensional C∞ manifold. In this article, we show that C1-generically, if f has the C1-stably asymptotic average shadowing property on a closed set then it admits a dominated splitting.Mathematical Subject ...
Manseob Lee
semanticscholar   +2 more sources

Asymptotic orbital shadowing property for diffeomorphisms

Open Mathematics, 2019
Let M be a closed smooth Riemannian manifold and let f : M → M be a diffeomorphism. We show that if f has the C1 robustly asymptotic orbital shadowing property then it is an Anosov diffeomorphism. Moreover, for a C1 generic diffeomorphism f, if f has the
Lee Manseob
doaj   +1 more source

On the entropy of conservative flows [PDF]

, 2010
We obtain a $C^1$-generic subset of the incompressible flows in a closed three-dimensional manifold where Pesin's entropy formula holds thus establishing the continuous-time version of \cite{T}.
Bessa, Mario, Varandas, Paulo
core   +2 more sources

Usual limit shadowable homoclinic classes of generic diffeomorphisms

Advances in Differential Equations, 2012
We show that for C1-generic f, a locally maximal homoclinic class is usual limit shadowable if and only if the homoclinic class is hyperbolic.Mathematics Subject Classification 2010: 37C20; 37C40; 37C50; 34D05.
Manseob Lee
semanticscholar   +2 more sources

Asymptotically periodic piecewise contractions of the interval

, 2013
We consider the iterates of a generic injective piecewise contraction of the interval defined by a finite family of contractions. Let $\phi_i:[0,1]\to (0,1)$, $1\le i\le n$, be $C^2$-diffeomorphisms with $\sup_{x\in (0,1)} \vert D\phi_i(x ...
Nogueira, Arnaldo, Pires, Benito, Rosales, Rafael A.   +2 more
core   +7 more sources

In vitro antimicrobial activity of a gel containing antimicrobial peptide AMP2041, chlorhexidine digluconate and Tris‐EDTA on clinical isolates of Pseudomonas aeruginosa from canine otitis

Veterinary Dermatology, Volume 27, Issue 5, Page 391-e98, October 2016., 2016
Background– Pseudomonas aeruginosa (PA) may cause suppurative otitis externa with severe inflammation and ulceration in dogs. Multidrug resistance is commonly reported for this organism, creating a difficult therapeutic challenge. Objective– The aim of this study was to evaluate the in vitro antimicrobial activity of a gel containing 0.5 µg/mL of ...
Giovanni Ghibaudo, Davide Santospirito, Andrea Sala, Sara Flisi, Simone Taddei, Sandro Cavirani, Clotilde Silvia Cabassi   +6 more
wiley   +1 more source

Lyapunov stable homoclinic classes for smooth vector fields

Open Mathematics, 2019
In this paper, we show that for generic C1, if a flow Xt has the shadowing property on a bi-Lyapunov stable homoclinic class, then it does not contain any singularity and it is hyperbolic.
Lee Manseob
doaj   +1 more source

Coupled skinny baker's maps and the Kaplan-Yorke conjecture [PDF]

, 2013
The Kaplan-Yorke conjecture states that for "typical" dynamical systems with a physical measure, the information dimension and the Lyapunov dimension coincide.
Gröger, Maik, Hunt, Brian R.
core   +1 more source

Lipschitz perturbations of expansive systems [PDF]

, 2014
We extend some known results from smooth dynamical systems to the category of Lipschitz homeomorphisms of compact metric spaces. We consider dynamical properties as robust expansiveness and structural stability allowing Lipschitz perturbations with ...
Artigue, Alfonso
core   +1 more source

A striking correspondence between the dynamics generated by the vector fields and by the scalar parabolic equations [PDF]

, 2011
The purpose of this paper is to enhance a correspondence between the dynamics of the differential equations $\dot y(t)=g(y(t))$ on $\mathbb{R}^d$ and those of the parabolic equations $\dot u=\Delta u +f(x,u,\nabla u)$ on a bounded domain $\Omega$.
Abraham R., Angenent S. B., Angenent S. B., Angenent S. B., Anosov D. V., Arroyo A., Bendixson I., Bonatti C., Bonatti C., Bonatti C., Brunovský P., Brunovský P., Brunovský P., Brunovský P., Chen X.-Y., Crovisier S., Czaja R., Dancer E. N., Fiedler B., Fiedler B., Fiedler B., Fiedler B., Fiedler B., Fusco G., Fusco G., Fusco G., Fusco G., Galaktianov V. A., GENEVIÈVE RAUGEL, Ghrist R. W., Guckenheimer J., Hale J. K., Hale J. K., Hardt R., Hayashi S., Henry D., Henry D. B., Hirsch M. W., Hirsch M. W., Hirsch M. W., Hirsch M. W., Jolly M., Joly R., Joly R., Joly R., Mallet-Paret J., Matano H., Matano H., Matano H., Newhouse S. E., Nickel K., Nitecki Z., Palis J., Peixoto M. M., Peixoto M. M., Poláčik P., Poláčik P., Poláčik P., Poláčik P., Prizzi M., Pugh C. C., Pugh C. C., Pugh C. C., Pujals E. R., Robinson C., Robinson J. C., Rocha C., Rocha C., ROMAIN JOLY, Ruelle D., Sandstede B., Smale S., Smale S., Smale S., Smale S., Smillie J., Smith H. L., Smith H. L., Sturm C., Wolfrum M.   +79 more
core   +6 more sources