Results 61 to 70 of about 4,250 (145)
, 2015 The main topic of this paper is to show that in the 3-dimensional Minkowski spacetime, the torsion of a null curve is equal to the Schwarzian derivative of a certain function appearing in a description of the curve.
Olszak, Zbigniew
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The Schwarzian derivative and Euler–Lagrange equations
Journal of Geometry and Physics, 2022 We study the Schwarzian derivative from a variational viewpoint. Firstly we show that the Schwarzian derivative defines a first integral of the Euler--Lagrange equation of a second order Lagrangian. Secondly, we show that the Schwarzian derivative itself is the Euler--Lagrange operator for an appropriately chosen class of variations.
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Local Stability in 3D Discrete Dynamical Systems: Application to a Ricker Competition Model
Discrete Dynamics in Nature and Society, Volume 2017, Issue 1, 2017., 2017 A survey on the conditions of local stability of fixed points of three‐dimensional discrete dynamical systems or difference equations is provided. In particular, the techniques for studying the stability of nonhyperbolic fixed points via the centre manifold theorem are presented.
Rafael Luís +2 more
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Axioms, 2020 A novel method for generating and providing quadrature solutions to families of linear, second-order, ordinary differential equations is presented in this paper.
Romeo Pascone, Cathryn Callahan
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Prescribing the Preschwarzian in several complex variables
, 2010 We solve the several complex variables preSchwarzian operator equation $[Df(z)]^{-1}D^2f(z)=A(z)$, $z\in \C^n$, where $A(z)$ is a bilinear operator and $f$ is a $\C^n$ valued locally biholomorphic function on a domain in $\C^n$.
Rodrigo, Hernández
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Constrained Willmore Tori and Elastic Curves in 2-Dimensional Space Forms
, 2014 In this paper we consider two special classes of constrained Willmore tori in the 3-sphere. The first class is given by the rotation of closed elastic curves in the upper half plane - viewed as the hyperbolic plane - around the x-axis.
Heller, Lynn
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ONE PROPERTY OF SCHWARZIAN DERIVATIVE
Demonstratio Mathematica, 2001 Let \(D\) be a domain in the extended complex plane \(\overline{\mathbb{C}}\) with a quasiconformal boundary and \(A(D)\) be the set of analytic functions \(f: D \rightarrow \overline\mathbb{C}\). A functional \(I(f)\) is called admissible if there exists a positive number \(t_1\) such that \(f\in A(D)\) and \(I(f)\leq t_1\) implies \(f\) is univalent ...
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Universe as Klein–Gordon eigenstates
European Physical Journal C: Particles and Fields, 2021 We formulate Friedmann’s equations as second-order linear differential equations. This is done using techniques related to the Schwarzian derivative that selects the $$\beta $$ β -times $$t_\beta :=\int ^t a^{-2\beta }$$ t β : = ∫ t a - 2 β , where a is ...
Marco Matone
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MATEC Web of Conferences, 2018 In the paper, special procedure for integrating a second order linear differential equation with six singular points, example of a quantum-mechanical problem for a spin zero particle with intrinsic Darwin—Cox structure, is considered. The method is based
Chichurin Alexander, Red’kov Viktor
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SciPost Physics, 2020 We compute the partition function of 2D Jackiw-Teitelboim (JT) gravity at finite cutoff in two ways: (i) via an exact evaluation of the Wheeler-DeWitt wavefunctional in radial quantization and (ii) through a direct computation of the Euclidean path ...
Luca V. Iliesiu, Jorrit Kruthoff, Gustavo J. Turiaci, Herman Verlinde
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