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Algebraic geometry of the center-focus problem for Abel differential equations [PDF]
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.
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A New Method for Research on the Center-Focus Problem of Differential Systems [PDF]
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
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Parametric Center-Focus Problem for Abel Equation [PDF]
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.
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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
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Linearizability problem of persistent centers
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
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Scalable and space-efficient Robust Matroid Center algorithms
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
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The Center-Focus Problem and Reversibility
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
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A Completed Multiple Threshold Encoding Pattern for Texture Classification
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
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Core formation from self-heating dark matter [PDF]
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
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Workshops on Real World Writing Genres: Writing, Career, and the Trouble with Contemporary Genre Theory [PDF]
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
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