Zobrazeno 1 - 10
of 36
pro vyhledávání: '"Akhtam Dzhalilov"'
Publikováno v:
Abstract and Applied Analysis, Vol 2014 (2014)
We prove that a critical circle homeomorphism with infinite number of break points without periodic orbits is conjugated to the linear rotation by a quasisymmetric map if and only if its rotation number is of bounded type. And we also prove that any
Externí odkaz:
https://doaj.org/article/42ba32c49865403fbb327e7fd03d334b
Autor:
Akhtam, Dzhalilov, Javlon, Karimov
Publikováno v:
AIP Conference Proceedings; 2023, Vol. 2781 Issue 1, p1-6, 6p
Publikováno v:
Filomat. 32:5549-5563
We study circle homeomorphisms f ? C 2 (S 1 \{x b }) whose rotation number ? f is irrational, with a single break point x b at which f ? has a jump discontinuity. We prove that the behavior of the ratios of the lengths of any two adjacent intervals o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2b23b004992adb6e4611f42d37822a3f
https://doi.org/10.2298/fil1816549s
https://doi.org/10.2298/fil1816549s
Publikováno v:
Discrete & Continuous Dynamical Systems - A. 37:4587-4609
Let \begin{document} $\log f'$ \end{document} be an absolutely continuous and \begin{document} $f"/f'∈ L_{p}(S^{1}, d\ell)$ \end{document} for some \begin{document} $p>1, $ \end{document} where \begin{document} $\ell$ \end{document} is Lebesgue mea
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2d6deb46f52f6fd938672b96b53382d4
https://doi.org/10.3934/dcds.2017197
https://doi.org/10.3934/dcds.2017197
Publikováno v:
Nonlinear Analysis: Theory, Methods & Applications. 143:224-255
We study the conformal geometry of timelike curves in the ( 1 + 2 ) -Einstein universe, the conformal compactification of Minkowski 3-space defined as the quotient of the null cone of R 2 , 3 by the action by positive scalar multiplications. The purp
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ba44a41f917bb6bfce0a972322fb4a42
https://doi.org/10.1016/j.na.2016.05.011
https://doi.org/10.1016/j.na.2016.05.011
Publikováno v:
Springer Proceedings in Mathematics & Statistics ISBN: 9783030014759
In this paper we consider general orientation preserving circle homeomorphisms \(f\in C^{2+\varepsilon } (S ^{1}\setminus \{ a^{(0)}, c^{(0)} \} )\;, \varepsilon >0\), with an irrational rotation number \(\rho _{f}\) and two break points \(a^{(0)}, c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::03ac97597200ae6894843097f866fcf2
https://doi.org/10.1007/978-3-030-01476-6_7
https://doi.org/10.1007/978-3-030-01476-6_7
This book features papers presented during a special session on dynamical systems, mathematical physics, and partial differential equations. Research articles are devoted to broad complex systems and models such as qualitative theory of dynamical sys
Publikováno v:
Nonlinearity. 28:2441-2459
Let fi, i = 1, 2, be orientation preserving circle homeomorphisms with a finite number of break points , at which the first derivatives Dfi have jumps, and whose irrational rotation numbers coincide. Denote by the jump ratio of fi at a break point an
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a0d70a90a3058e4f56e20aaea161cd54
https://doi.org/10.1088/0951-7715/28/7/2441
https://doi.org/10.1088/0951-7715/28/7/2441
Let $f$ be an orientation preserving homeomorphisms on the circle with several break points, that is, its derivative $Df$ has jump discontinuities at these points. We study Rauzy-Veech renormalizations of piecewise smooth circle homeomorphisms, by co
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b2ac60c2be239e51f413d0f94000b40b
Publikováno v:
Nonlinear Analysis: Theory, Methods & Applications. 99:1-15
Let f i , i = 1 , 2 , be piecewise C 1 circle homeomorphisms with two break points, log D f i , i = 1 , 2 , are absolutely continuous on each continuity interval of D f i and D log D f i ∈ L p for some p > 1 . Suppose, the jump ratios of f 1 and f
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::44002a3a97dab8eed9fd649e01451d07
https://doi.org/10.1016/j.na.2013.12.013
https://doi.org/10.1016/j.na.2013.12.013