Results 31 to 40 of about 353,858 (83)

Chaotic attractors of two‐dimensional invertible maps

Discrete Dynamics in Nature and Society, Volume 2, Issue 4, Page 249-256, 1998., 1998
In this paper, we investigate the characteristics of quasihyperbolic attractors and quasiattractors in Invertible dissipative maps of the plane. The criteria which allow one to diagnose the indicated types of attractors in numerical experiments are formulated.
Vadim S. Anishchenko, Tatjana E. Vadivasova, Galina I. Strelova, Andrey S. Kopeikin   +3 more
wiley   +1 more source

Local properties of quasihyperbolic mappings in metric spaces

Annales Academiae Scientiarum Fennicae Mathematica, 2016
Summary: In this paper, we consider Väisälä's problem and obtain that a homeomorphism which is both semi-local \(M\)-QH and semi-local \(\eta\)-QS between two suitable metric spaces is an \(M_{1}\)-QH map.
Huang, Xiaojun, Liu, Hongjun, Liu, Jinsong   +2 more
openaire   +3 more sources

Regularity of the SLE4 uniformizing map and the SLE8 trace

Proceedings of the London Mathematical Society, Volume 131, Issue 2, August 2025.
Abstract We show that the modulus of continuity of the SLE4${\rm SLE}_4$ uniformizing map is given by (logδ−1)−1/3+o(1)$(\log \delta ^{-1})^{-1/3+o(1)}$ as δ→0$\delta \rightarrow 0$. As a consequence of our analysis, we show that the Jones–Smirnov conditions for conformal removability (with quasihyperbolic geodesics) do not hold for SLE4${\rm SLE}_4 ...
Konstantinos Kavvadias, Jason Miller, Lukas Schoug   +2 more
wiley   +1 more source

Close-to-convexity of quasihyperbolic and j-metric balls

Annales Academiae Scientiarum Fennicae Mathematica, 2010
12 pages, 2 ...
openaire   +3 more sources

Volume growth of quasihyperbolic balls [PDF]

, 2017
The purpose of this paper is to study the notion of the quasihyperbolic volume and to find growth estimates for the quasihyperbolic volume of balls in a domain G ⊂ Rn, in terms of the ...
X Zhang, R Klén, Klén, R. (Riku), V Suomala, Vuorinen, Matti, Zhang, Xiaohui, Suomala, V. (Ville), Zhang, X. (Xiaohui), M Vuorinen, Suomala, Ville, Klén, Riku, Vuorinen, M. (Matti)   +11 more
core   +1 more source

Freely quasiconformal and locally weakly quasisymmetric mappings in metric spaces

Open Mathematics
In this article, we investigate the relationship between freely quasiconformal mappings and locally weakly quasisymmetric mappings in quasiconvex and complete metric spaces.
Liu Hong-Jun, Yan Sha-Sha, Xia Ling, Yu Zhi-Fa   +3 more
doaj   +1 more source

Hyperbolizing metric spaces

, 2011
It was proved by M. Bonk, J. Heinonen and P. Koskela that the quasihyperbolic metric hyperbolizes (in the sense of Gromov) uniform metric spaces. In this paper we introduce a new metric that hyperbolizes all locally compact noncomplete metric spaces. The
Zair Ibragimov
core   +1 more source

Apollonian metric, uniformity and Gromov hyperbolicity [PDF]

, 2022
The main purpose of this paper is to investigate the properties of a mapping which is required to be roughly bilipschitz with respect to the Apollonian metric (roughly Apollonian bilipschitz) of its domain.
Zhou QS, Vuorinen M, Li YX
core   +1 more source

Quasihyperbolic boundary condition: Compactness of the inner boundary

, 2019
We prove that if a metric space satisfies a suitable growth condition in the quasihyperbolic metric and the Gehring–Hayman theorem in the original metric, then the inner boundary of the space is homeomorphic to the Gromov boundary.
Lammi, Päivi
core   +1 more source

Visible quasihyperbolic geodesics [PDF]

In this paper, motivated by the work of Bonk, Heinonen, and Koskela (Asterisque, 2001), we consider the problem of the equivalence of the Gromov boundary and Euclidean boundary. Our strategy to study this problem comes from the recent work of Bharali and
Allu, Vasudevarao, Pandey, Abhishek
core   +1 more source