Zobrazeno 1 - 10
of 51
pro vyhledávání: '"Kokarev, Sergey"'
Autor:
Kokarev, Sergey S.
One unusual property of dynamic systems, whose state is characterized by a set of scalar dynamic variables satisfying a system of differential equations of a general form, is considered. This property is related to the behavior of equations (optional
Externí odkaz:
http://arxiv.org/abs/1911.01846
Autor:
Pavlov, Dmitry, Kokarev, Sergey
Publikováno v:
Hypercomplex Numbers in Geometry and Physics, 1(13), No.7, 2010, pp.78-126 (In Russian)
By analogy to the theory of harmonic fields on the complex plane, we build the theory of wave-like fields on the plane of double variable. We construct the hyperbolic analogues of point vortices, sources, vortice-sources and their higher-order multip
Externí odkaz:
http://arxiv.org/abs/1502.06985
Autor:
Pavlov, Dmitry, Kokarev, Sergey
Publikováno v:
Hypercomplex Numbers in Geometry and Physics, 1(13), Vol.7, 2010, pp.44-77 (In Russian)
The paper studies the complex differentiable functions of double argument and their properties, which are similar to the properties of the holomorphic functions of complex variable: the Cauchy formula, the hyperbolic harmonicity, the properties of ge
Externí odkaz:
http://arxiv.org/abs/1501.03048
Autor:
Pavlov, Dmitry, Kokarev, Sergey
Publikováno v:
Grav. & Cosm. v21 (2), 2015, pp. 152-156
Based on the concept of material event as an elementary material source that is concentrated on metric sphere of zero radius --- light-cone of Minkowski space-time, we deduce the analog of Coulomb's law for hyperbolic space-time field universally act
Externí odkaz:
http://arxiv.org/abs/1504.03663
Autor:
Kokarev, Sergey S.
Publikováno v:
Proceedings of Symmetry Festival 2009, v20, Numbers 1-4, pages 371-392 (2009)
The problem of classification of cubic homogeneous Finslerian 3D metrics with respect to their isometries is considered. It is shown, that there are 6 different general affine types of such metrics. Algebras of isometries are presented in apparent ki
Externí odkaz:
http://arxiv.org/abs/1011.5244
Autor:
Kokarev, Sergey S.
Relations between kinematics, geometry and law of reference frame motion are considered. We show, that kinematical tensors define geometry up to a space functional arbitrariness when integrability condition for spin tensor is satisfied. Some aspects
Externí odkaz:
http://arxiv.org/abs/1011.4933
Autor:
Kokarev, Sergey S.
Publikováno v:
Gravitation and Cosmology (2001) v7, 63-73
A number of boundary problems in multidimensional elasticity theory are solved. The solutions can be treated as the simplest cosmological models. Some specific properties of the solutions and experimental consequences of the theory are discussed.
Externí odkaz:
http://arxiv.org/abs/0911.1421
Autor:
Pavlov, Dmitriy G., Kokarev, Sergey S.
Publikováno v:
Hypercomplex numbers in geometry and physics, (2009) v6, N1(11), pp. 42-67
In the 3-dimensional Berwald-Moor space are bingles and tringles constructed, as additive characteristic objects associated to couples and triples of unit vectors - practically lengths and areas on the unit sphere. In analogy with the spherical angle
Externí odkaz:
http://arxiv.org/abs/0910.3818
Autor:
Pavlov, Dmitriy G., Kokarev, Sergey S.
Publikováno v:
Hypercomplex numbers in geometry and physics, (2008) v5, N2(10), pp. 25-43
Within the framework of Berwald-Moor Geometry in H_3, the paper studies the construction of additive poly-angles (bingles and tringles). It is shown that, considering additiveness in the large, there exist an infinity of such poly-angles.
Commen
Commen
Externí odkaz:
http://arxiv.org/abs/0910.3814
Autor:
Kokarev, Sergey S.
Here is presented a concept of centrogeometry which can be seen as a combination of the concept of point-like observer with an idea of Poincar\'{e}'s that different geometries are principally equivalent. As it is to be shown later, all centrogeometri
Externí odkaz:
http://arxiv.org/abs/0906.2921