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Algebraic geometry of the center-focus problem for Abel differential equations [PDF]

open access: yesErgodic Theory and Dynamical Systems, 2014
The Abel differential equation $y^{\prime }=p(x)y^{3}+q(x)y^{2}$ with polynomial coefficients $p,q$ is said to have a center on $[a,b]$ if all its solutions, with the initial value $y(a)$ small enough, satisfy the condition $y(a)=y(b)$. The problem of giving conditions on $(p,q,a,b)$ implying a center for the Abel equation is analogous to the classical
Briskin, M., Pakovich, F., Yomdin, Y.
openaire   +5 more sources

A New Method for Research on the Center-Focus Problem of Differential Systems [PDF]

open access: yesAbstract and Applied Analysis, 2014
We will introduce Mironenko’s method to discuss the Poincaré center-focus problem, and compare the methods of Lyapunov and Mironenko. We apply the Mironenko method to discuss the qualitative behavior of solutions of some planar polynomial differential ...
Zhengxin Zhou
doaj   +3 more sources

Parametric Center-Focus Problem for Abel Equation [PDF]

open access: yesQualitative Theory of Dynamical Systems, 2014
This version is identical to the first one. The replacement is due to the fact that by mistake as a second version another paper was downnloaded. The paper was published by "Qual. Theory Dyn.
Briskin, M., Pakovich, F., Yomdin, Y.
openaire   +2 more sources

An inverse approach to the center-focus problem for polynomial differential system with homogenous nonlinearities

open access: yesJournal of Differential Equations, 2021
Agraïments: The second author was partly supported by the Spanish Ministry of Education through projects TIN2011-27076-C03-01, TIN2014-57364-C2-1-R. We consider polynomial vector fields of the form \[ \X=(-y X_m) x (x Y_m) y, \] where X_m=X_m(x,y) and Y_m=Y_m(x,y) are homogenous polynomials of degree m.
Llibre, Jaume   +2 more
openaire   +6 more sources

Linearizability problem of persistent centers

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2018
The concepts of persistent and weakly persistent centers were introduced in 2009 and the same concept was applied in the study of some families of differential equations in 2013.
Matej Mencinger   +3 more
doaj   +1 more source

Scalable and space-efficient Robust Matroid Center algorithms

open access: yesJournal of Big Data, 2023
Given a dataset V of points from some metric space, a popular robust formulation of the k-center clustering problem requires to select k points (centers) of V which minimize the maximum distance of any point of V from its closest center, excluding the z ...
Matteo Ceccarello   +3 more
doaj   +1 more source

The Center-Focus Problem and Reversibility

open access: yesJournal of Differential Equations, 2001
The reversibility is an interesting concept useful in the qualitative theory of differential equations that implies certain geometric properties. For instance, if an orbit of a reversible vector field meets the fixed-point set at two distinct points then it is necessarily a symmetric periodic orbit. The paper is concerned with the following problem for
Teixeira, Marco Antonio, Yang, Jiazhong
openaire   +1 more source

A Completed Multiple Threshold Encoding Pattern for Texture Classification

open access: yesImage Analysis and Stereology, 2023
The binary pattern family has drawn wide attention for texture representation due to its promising performance and simple operation. However, most binary pattern methods focus on local neighborhoods but ignore center pixels.
Bin Li, Yibing Li, Q. M. Jonathan Wu
doaj   +1 more source

Core formation from self-heating dark matter [PDF]

open access: yes, 2018
Cosmological simulations of the $\Lambda$CDM model suggest that the dark matter halos of dwarf galaxies are denser in their center than what observational data of such galaxies imply.
Chu, Xiaoyong, Garcia-Cely, Camilo
core   +2 more sources

Workshops on Real World Writing Genres: Writing, Career, and the Trouble with Contemporary Genre Theory [PDF]

open access: yes, 2018
My article reports on an annual series of workshops I launched as director of my writing center. This ongoing initiative, titled Workshops on Real World Writing Genres, aims to introduce undergraduates to genres they will practice in their prospective ...
Plotnick, Jerry
core   +1 more source

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