Results 21 to 30 of about 1,251 (79)

Quasiconformal Extensions and Inner Radius of Univalence by pre-Schwarzian Derivatives of Analytic and Harmonic Mappings

open access: yesZurnal matematiceskoj fiziki, analiza, geometrii, 2023
Summary: In this paper, we study the criterion for univalence, quasiconformal extensions and inner radius of univalence for locally univalent analytic and harmonic mappings in the complex plane. For locally univalent analytic functions in the unit disk, we give a sufficient condition for univalence and quasiconformal extensions by pre-Schwarzian ...
Hu, Zhenyong   +2 more
openaire   +2 more sources

Cosmology and the Korteweg-de Vries Equation

open access: yes, 2012
The Korteweg-de Vries (KdV) equation is a non-linear wave equation that has played a fundamental role in diverse branches of mathematical and theoretical physics. In the present paper, we consider its significance to cosmology.
A. C. Scott   +7 more
core   +1 more source

HARMONIC MAPPINGS RELATED TO FUNCTIONS WITH BOUNDED BOUNDARY ROTATION AND NORM OF THE PRE-SCHWARZIAN DERIVATIVE [PDF]

open access: yesBulletin of the Korean Mathematical Society, 2014
Let S 0 be the class of normalized univalent harmonic map- pings in the unit disk. A subclass V H (k) of S 0 , whose analytic part is function with bounded boundary rotation, is introduced. Some bounds for functionals, specially harmonic pre-Schwarzian derivative, described in V H (k) are given.
Stanis lawa Kanas, Dominika Klimek-Smet
openaire   +1 more source

The norm of pre-Schwarzian derivative on subclasses of bi-univalent functions

open access: yesAIMS Mathematics, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shalini Rana   +2 more
openaire   +2 more sources

Geometric Poisson brackets on Grassmannians and conformal spheres [PDF]

open access: yes, 2009
In this paper we relate the geometric Poisson brackets on the Grassmannian of 2-planes in R^4 and on the (2,2) Moebius sphere. We show that, when written in terms of local moving frames, the geometric Poisson bracket on the Moebius sphere does not ...
Beffa, G. Mari, Eastwood, M.
core   +1 more source

The multipliers of periodic points in one-dimensional dynamics

open access: yes, 1998
It will be shown that the smooth conjugacy class of an $S-$unimodal map which does not have a periodic attractor neither a Cantor attractor is determined by the multipliers of the periodic orbits.
Blokh A M   +11 more
core   +1 more source

Coxeter's frieze patterns and discretization of the Virasoro orbit [PDF]

open access: yes, 2014
We show that the space of classical Coxeter's frieze patterns can be viewed as a discrete version of a coadjoint orbit of the Virasoro algebra. The canonical (cluster) (pre)symplectic form on the space of frieze patterns is a discretization of the ...
Ovsienko, Valentin, Tabachnikov, Serge
core  

Synchronization in discrete-time networks with general pairwise coupling

open access: yes, 2009
We consider complete synchronization of identical maps coupled through a general interaction function and in a general network topology where the edges may be directed and may carry both positive and negative weights. We define mixed transverse exponents
Atay, Fatihcan M.   +2 more
core   +1 more source

Analytic Besov functions, pre-Schwarzian derivatives, and integrable Teichmüller spaces

open access: yes
We consider the embedding of integrable Teichmüller spaces $T_p$ into analytic Besov spaces by using pre-Schwarzian derivatives. Unlike the case of the Bers embedding by Schwarzian derivatives, there is a big difference between the cases $p>1$ and $p=1$. In this paper, we focus on the case $p=1$ and generalize the previous results obtained for $p>
Matsuzaki, Katsuhiko, Wei, Huaying
openaire   +2 more sources

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