Zobrazeno 1 - 10
of 48
pro vyhledávání: '"37Exx"'
Assume that the interval $I=[0,1)$ is partitioned into finitely many intervals $I_1,\dots,I_r$ and consider a map $T\colon I\to I$ so that $T_{\vert I_s}$ is a translation for each $1 \le s \le r$. We do not assume that the images of these intervals
Externí odkaz:
http://arxiv.org/abs/2411.14312
On simultaneous linearization of certain commuting nearly integrable diffeomorphisms of the cylinder
Publikováno v:
Mathematische Zeitschrift (2022)
Let $\mathcal{F}$ and $\mathcal{K}$ be commuting $C^\infty$ diffeomorphisms of the cylinder $\mathbb{T}\times\mathbb{R}$ that are, respectively, close to $\mathcal{F}_0 (x, y)=(x+\omega(y), y)$ and $T_\alpha (x, y)=(x+\alpha, y)$, where $\omega(y)$ i
Externí odkaz:
http://arxiv.org/abs/2106.16077
Autor:
Florio, Anna, Hryniewicz, Umberto
We give a numerical condition for right-handedness of a dynamically convex Reeb flow on $S^3$. Our condition is stated in terms of an asymptotic ratio between the amount of rotation of the linearised flow and the linking number of trajectories with a
Externí odkaz:
http://arxiv.org/abs/2106.12512
For the family of Double Standard Maps $f_{a,b}=2x+a+\frac{b}{\pi} \sin2\pi x \quad\pmod{1}$ we investigate the structure of the space of parameters $a$ when $b=1$ and when $b\in[0,1)$. In the first case the maps have a critical point, but for a set
Externí odkaz:
http://arxiv.org/abs/2002.02019
Autor:
Hryniewicz, Umberto L.
We prove a theorem on the existence of global surfaces of section with prescribed spanning orbits and homology class. This result is a modification and a refinement of a result due to Fried, recast in terms of invariant measures instead of homology d
Externí odkaz:
http://arxiv.org/abs/1904.12416
Autor:
Guelman, Nancy, Liousse, Isabelle
We consider $f, h$ homeomorphims generating a faithful $BS(1,n)$-action on a closed surface $S$, that is, $h f h^{-1} = f^n$, for some $ n\geq 2$. According to \cite{GL}, after replacing $f$ by a suitable iterate if necessary, we can assume that ther
Externí odkaz:
http://arxiv.org/abs/1703.09037
Autor:
Hooper, W. Patrick, Weiss, Barak
Publikováno v:
Sel. Math. New Ser. 24, 875--934 (2018)
We analyze the rel leaves of the Arnoux-Yoccoz translation surfaces. We show that for any genus $g \geq 3$, the leaf is dense in the connected component of the stratum $H(g -1 , g -1)$ to which it belongs, and the one-sided imaginary-rel trajectory o
Externí odkaz:
http://arxiv.org/abs/1508.05363
The mesochronic velocity is the average of the velocity field along trajectories generated by the same velocity field over a time interval of finite duration. In this paper we classify initial conditions of trajectories evolving in incompressible vec
Externí odkaz:
http://arxiv.org/abs/1506.05333
We prove some basic theorems concerning lemniscate configurations in an Euclidean space of dimension $ n \geq 3$. Lemniscates are defined as follows. Given m points $w_j $ in $\mathbb R^n$, consider the function $F(x)$ which is the product of the dis
Externí odkaz:
http://arxiv.org/abs/1506.01919
Autor:
Efremova L.S.
Publikováno v:
Applied Mathematics and Nonlinear Sciences, Vol 5, Iss 2, Pp 317-328 (2020)
In this paper we investigate stability of the integrability property of skew products of interval maps under small C1-smooth perturbations satisfying some conditions. We obtain here (sufficient) conditions of the partial integrability for maps under
Externí odkaz:
https://doaj.org/article/1869ddbbd2b740bcbe86e5e947cfb516
