Zobrazeno 1 - 10
of 761
pro vyhledávání: '"Deriglazov, A. A."'
Autor:
Deriglazov, Alexei A.
Publikováno v:
Universe 2024, 10, 250
Equations of motion of a charged symmetrical body in external constant and homogeneous electric and magnetic fields are deduced starting from the variational problem, where the body is considered as a system of charged point particles subject to holo
Externí odkaz:
http://arxiv.org/abs/2403.12089
Autor:
Deriglazov, Alexei A.
Publikováno v:
Commun. Nonlinear. Sci. Numer. Simulat. 138 (2024) 108257
We solved the Poisson equations, obtaining their exact solution in elementary functions for the rotation matrix of a free asymmetrical body with angular velocity vector lying on separatrices. This allows us to discuss the temporal evolution of Dzhani
Externí odkaz:
http://arxiv.org/abs/2401.11518
Autor:
Deriglazov, Alexei A.
Publikováno v:
Eur. Phys. J. C (2024) 84:311
We consider Hamiltonian formulation of a dynamical system forced to move on a submanifold $G_\alpha(q^A)=0$. If for some reasons we are interested in knowing the dynamics of all original variables $q^A(t)$, the most economical would be a Hamiltonian
Externí odkaz:
http://arxiv.org/abs/2309.05151
Autor:
Deriglazov, Alexei A.
Publikováno v:
Communications in Nonlinear Science and Numerical Simulation, 127 (2023) 107579
Equations of a rotating body with one point constrained to move freely on a plane (dancing top) are deduced from the Lagrangian variational problem. They formally look like the Euler-Poisson equations of a heavy body with fixed point, immersed in a f
Externí odkaz:
http://arxiv.org/abs/2307.12201
Autor:
Deriglazov, Alexei A.
Publikováno v:
Particles 2024, 7, 543-559
Equations of a heavy rotating body with one fixed point can be deduced starting from a variational problem with holonomic constraints. When applying this formalism to the particular case of a Lagrange top, in the formulation with a diagonal inertia t
Externí odkaz:
http://arxiv.org/abs/2306.02394
Autor:
Deriglazov, Alexei A.
Publikováno v:
Foundations of Physics (2024) 54:41
We have revised the problem of the motion of a heavy symmetric top. When formulating equations of the Lagrange top with the diagonal inertia tensor, the potential energy has more complicated form as compared with that assumed in the literature on dyn
Externí odkaz:
http://arxiv.org/abs/2304.10371
Autor:
Deriglazov, Alexei A.
The Euler-Poisson equations para determinar the rotation matrix of a rigid body can be solved without using of particular parameterization like the Euler angles. For the free Lagrange top, we obtain and discuss a general analytic solution, and compar
Externí odkaz:
http://arxiv.org/abs/2303.02431
Autor:
Alexei A. Deriglazov
Publikováno v:
Particles, Vol 7, Iss 3, Pp 543-559 (2024)
Equations of a heavy rotating body with one fixed point can be deduced starting from a variational problem with holonomic constraints. When applying this formalism to the particular case of a Lagrange top, in the formulation with a diagonal inertia t
Externí odkaz:
https://doaj.org/article/dd30844804274ccba23d1392ab6e8d2a
Autor:
Deriglazov, Alexei A.
Publikováno v:
Particles 2023, 6, 913-922
We single out a class of Lagrangians on a group manifold, for which one can introduce non-canonical coordinates in the phase space, which simplify the construction of the Poisson structure without explicitly calculating the Dirac bracket. In the case
Externí odkaz:
http://arxiv.org/abs/2302.12423
Autor:
Deriglazov, Alexei A.
Publikováno v:
Eur. Phys. J. C (2023) 83:265
The solutions to the Euler-Poisson equations are geodesic lines of $SO(3)$ manifold with the metric determined by the inertia tensor. However, the Poisson structure on the corresponding symplectic leaf does not depend on the inertia tensor. We calcul
Externí odkaz:
http://arxiv.org/abs/2302.04828