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Sharp estimates for eigenvalues of integral operators generated by dot product kernels on the sphere
(Academic PressElsevierSan Diego, 2014-01)
We obtain explicit formulas for the eigenvalues of integral operators generated by continuous dot product kernels defined on the sphere via the usual gamma function. Using them, we present both, a procedure to
describe ...
Centers and limit cycles of vector fields defined on invariant spheres
(Springer, 2021-09-25)
The aim of this paper is the study of the center-focus and cyclicity problems inside the class X of 3-dimensional vector fields that admit a first integral that leaves invariant any sphere centered at the origin. We classify ...
Centers and Limit Cycles of Vector Fields Defined on Invariant Spheres
(2021-12-01)
The aim of this paper is the study of the center-focus and cyclicity problems inside the class X of 3-dimensional vector fields that admit a first integral that leaves invariant any sphere centered at the origin. We classify ...
Bifundamental fuzzy 2-Sphere and fuzzy killing spinors
(2010-12-01)
We review our construction of a bifundamental version of the fuzzy 2-sphere and its relation to fuzzy Killing spinors, first obtained in the context of the ABJM membrane model. This is shown to be completely equivalent to ...
Bifundamental fuzzy 2-Sphere and fuzzy killing spinors
(2010-12-01)
We review our construction of a bifundamental version of the fuzzy 2-sphere and its relation to fuzzy Killing spinors, first obtained in the context of the ABJM membrane model. This is shown to be completely equivalent to ...
Experimental and analytical study of the motion of a sphere falling along an inclined plane in still water
(Elsevier Science Sa, 2015-08)
In this work, the transient regime of motion of a sphere, that falls along an inclined smooth plane, submerged in still water, is studied experimentally and analytically. Several experiments were performed, with spheres ...
Fluids confined in wedges and by edges: Virial series for the line-thermodynamic properties of hard spheres
(American Institute of Physics, 2014-12)
This work is devoted to analyze the relation between the thermodynamic properties of a confined fluid and the shape of its confining vessel. Recently, new insights in this topic were found through the study of cluster ...
On the undamped free vibration of a mass interacting with a Hertzian contact stiffness
(2011-12-01)
Three methods are used to determine the natural frequency of undamped free vibration of a mass interacting with a Hertzian contact stiffness. The exact value is determined using the first integral of motion. The harmonic ...
Application of Levin's transformations to virial series
(Inst Condensed Matter Physics Natl Acad Sciences UkraineLvivUcrânia, 2014)