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TRIANGLE CENTERS DEFINED BY QUADRATIC POLYNOMIALS [PDF]

open access: yes, 2011
We consider a family of triangle centers whose barycentric coordinates are given by quadratic polynomials, and determine the lines that contain an infinite number of such triangle centers.
Agaoka, Yoshio
core   +4 more sources

The third order Melnikov function of a quadratic center under quadratic perturbation [PDF]

open access: yes, 2006
We study quadratic perturbations of the integrable system (1+x)dH; where H =(x²+y²)=2: We prove that the first three Melnikov functions associated to the perturbed system give rise at most to three limit ...
Buica, A.   +2 more
core   +2 more sources

Quadratic double centers and their perturbations

open access: yesJournal of Differential Equations, 2021
This is a useful paper which could be a base for further research. In it, the authors first give a complete and detailed classification in the parameter space of the quadratic autonomous systems \[ \dot{x}=P_2(x,y), \dot{y}=Q_2(x,y) \] having two centers in the finite plane. They could be of type \(\{H,H\}\), \(\{R,R\}\), \(\{LV,LV\}\), \(\{HR,HR\}\), \
Françoise, Jean-Pierre, Yang, Peixing
openaire   +2 more sources

Global Center Point Splitting: New Linear Node Splitting Algorithm for R-Trees [PDF]

open access: yesمجلة جامعة النجاح للأبحاث العلوم الطبيعية, 2016
We introduce a new linear algorithm to split overflowed nodes of an R-tree index called the Global Center Point Splitting (GCPS) algorithm. The proposed method is an enhancement of the Quadratic splitting algorithm proposed by Guttmann (Guttman A, 1984 ...
Manar Arafat
doaj   +1 more source

Optimized fuzzy fractional-order linear quadratic tracking control for a nonlinear system

open access: yesResults in Control and Optimization, 2023
In this paper, a novel fuzzy fractional-order Linear Quadratic Tracking (LQT) controller optimized by a Multi-Objective gray Wolf Algorithm (MOGWA) is designed for a 6 Degree-Of-Freedom (DOF) quadcopter flying system.
M.J. Mahmoodabadi, N. Rezaee Babak
doaj   +1 more source

GUP black hole remnants in quadratic gravity

open access: yesEuropean Physical Journal C: Particles and Fields, 2020
The Hawking radiation of static, spherically symmetric, asymptotically flat solutions in quadratic gravity is here scrutinized, in the context of the generalized uncertainty principle (GUP).
Iberê Kuntz, Roldão da Rocha
doaj   +1 more source

On limit cycles of piecewise differential systems formed by arbitrary linear systems and a class of quadratic systems [PDF]

open access: yesMathematica Bohemica, 2023
We study the continuous and discontinuous planar piecewise differential systems separated by a straight line and formed by an arbitrary linear system and a class of quadratic center.
Aziza Berbache
doaj   +1 more source

An Improved Circular Fringe Fourier Transform Profilometry

open access: yesSensors, 2022
Circular fringe projection profilometry (CFPP), as a branch of carrier fringe projection profilometry, has attracted research interest in recent years. Circular fringe Fourier transform profilometry (CFFTP) has been used to measure out-of-plane objects ...
Qili Chen   +3 more
doaj   +1 more source

Perturbation theory of the quadratic Lotka–Volterra double center [PDF]

open access: yesCommunications in Contemporary Mathematics, 2021
We revisit the bifurcation theory of the Lotka–Volterra quadratic system [Formula: see text] with respect to arbitrary quadratic deformations. The system has a double center, which is moreover isochronous. We show that the deformed system can have at most two limit cycles on the finite plane, with possible distribution [Formula: see text], where ...
Françoise, Jean–pierre   +1 more
openaire   +4 more sources

Dynamics of Quantum Particles in Perturbed Parabolic 2d Potential [PDF]

open access: yesЖурнал нано- та електронної фізики, 2016
2d quantum-mechanical problem of the time evolution of a particle in a quadratic potential is studied. We suppose that the center of the potential is displaced in arbitrary way in time.
A.S. Mazmanishvili, I.A. Knyaz’
doaj   +1 more source

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