Физика список научных статей
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EXCITATION OF LARGE-AMPLITUDE LOCALIZED NONLINEAR WAVES BY THE INTERACTION OF KINKS OF THE SINE-GORDON EQUATION WITH ATTRACTING IMPURITY
The generation and evolution of localized waves on an impurity in the scattering of a kink of the sine-Gordon equation are studied. It is shown that the problem can be considered as excitation of oscillations of a harmonic oscillator by a short external impulse. The external impulse is modeled by...
2019 / Gumerov Azamat M., Fakhretdinov Marat I., Ekomasov Evgenii G., Kudryavtsev Roman V.ScopusВАКRSCIMathSciNetzbMATH
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PHASE TOPOLOGY OF TWO VORTICES OF IDENTICAL INTENSITIES IN A BOSE-EINSTEIN CONDENSATE
A completely Liouville integrable Hamiltonian system with two degrees of freedom describing the dynamics of two vortex filaments in a Bose—Einstein condensate enclosed in a cylindrical trap is considered. For the system of two vortices with identical intensities a bifurcation of three Liouville tori ...
2019 / Ryabov Pavel E., Sokolov Sergei V.ScopusВАКRSCIMathSciNetzbMATH -
GENERATION OF ROBUST HYPERBOLIC CHAOS IN CNN
It is shown that on the basis of a cellular neural network (CNN) composed, e.g., of six cells, it is possible to design a chaos generator with an attractor being a kind of Smale-Williams solenoid, which provides chaotic dynamics that is rough (structurally stable), as follows from respective...
2019 / Kuznetsov Sergey P.ScopusВАКRSCIMathSciNetzbMATH -
A SPHERICAL PARTICLE SETTLING TOWARDS A CORRUGATED WALL
Based on the assumption of low Reynolds number, the flow around a spherical particle settling towards a corrugated wall in a fluid at rest is described by Stokes equations. In the case of the small amplitude of wall roughness, the asymptotic expansion coupled with the Lorentz reciprocal theorem are...
2019 / Lamzoud Khalid, Assoudi Redouane, Bouisfi Firdouss, Chaoui MohamedScopusВАКRSCIMathSciNetzbMATH -
ON THE MOTION OF THE CHAPLYGIN SLEIGH ON A HORIZONTAL PLANE WITH DRY FRICTION AT THREE POINTS OF CONTACT
This paper addresses the problem of the motion of the Chaplygin sleigh, a rigid body with three legs in contact with a horizontal plane, one of which is equipped with a semicircular skate orthogonal to the horizontal plane. The problem is considered in a nonholonomic setting: assuming that the...
2019 / Shamin Alexander Yu.ScopusВАКRSCIMathSciNetzbMATH -
THE ROLLING OF A HOMOGENEOUS BALL WITH SLIPPING ON A HORIZONTAL ROTATING PLANE
This paper is concerned with the rolling of a homogeneous ball with slipping on a uniformly rotating horizontal plane. We take into account viscous friction forces arising when there is slipping at the contact point. It is shown that, as the coefficient of viscosity tends to infinity, the solution of...
2019 / Ivanova Tatiana B.ScopusВАКRSCIMathSciNetzbMATH -
CAPILLARY HYDRAULIC JUMP IN A VISCOUS JET
Stationary waves in a cylindrical jet of a viscous fluid are considered. It is shown that when the capillary pressure gradient of the term with the third derivative of the jet radius in the axial coordinate is taken into account in the expression, the previously described self-similar solutions of...
2019 / Safronov Andrey A., Koroteev Anatoly A., Filatov Nikolay I., Safronova Nadezhda A.ScopusВАКRSCIMathSciNetzbMATH -
THE STUDY OF WAVE PROPAGATION IN A SHELL WITH SOFT NONLINEARITY AND WITH A VISCOUS LIQUID INSIDE
This article is devoted to studying longitudinal deformation waves in physically nonlinear elastic shells with a viscous incompressible fluid inside them. The impact of construction damping on deformation waves in longitudinal and normal directions in a shell, and in the presence of surrounding...
2019 / Mogilevich Lev I., Ivanov Sergey V.ScopusВАКRSCIMathSciNetzbMATH -
DYNAMICAL MODEL FOR THE ANOMALOUS TRANSPORT OF A PASSIVE SCALAR IN A REVERSE BAROTROPIC JET FLOW
The anomalous transport of a passive scalar at the excitation of immovable chains of wave structures with closed streamlines in a barotropic reverse jet flow is studied. The analysis is performed for a plane-parallel flow in a channel between rigid walls in the presence of the beta effect and external ...
2019 / Reutov Vladimir P., Rybushkina Galina V.ScopusВАКRSCIMathSciNetzbMATH -
ADVECTIVE FLOW OF A ROTATING FLUID LAYER IN A VIBRATIONAL FIELD
This paper presents a derivation of new exact solutions to the Navier--Stokes equations in Boussinesq approximation describing two advective flows in a rotating thin horizontal fluid layer with no-slip or free boundaries in a vibrational field. The layer rotates at a constant angular velocity; the...
2019 / Shvarts Konstantin G.ScopusВАКRSCIMathSciNetzbMATH -
NONLINEAR GRADIENT FLOW OF A VERTICAL VORTEX FLUID IN A THIN LAYER
A new exact solution to the Navier—Stokes equations is obtained. This solution describes the inhomogeneous isothermal Poiseuille flow of a viscous incompressible fluid in a horizontal infinite layer. In this exact solution of the Navier—Stokes equations, the velocity and pressure fields are the linear...
2019 / Privalova Valentina V., Prosviryakov Evgeniy Yu., Simonov Mikhail A.ScopusВАКRSCIMathSciNetzbMATH -
PRECESSIONAL MOTION OF A RIGID BODY ACTED UPON BY THREE IRREDUCIBLE FIELDS
We consider a quit general problem of motion of an asymmetric rigid body about a fixed point, acted upon by an irreducible skew combination of gravitational, electric and magnetic fields. Two of those three fields are uniform and the third has a more complicated structure. The existence of...
2019 / Hussein Ashraf M.ScopusВАКRSCIMathSciNetzbMATH -
ON ORBITAL STABILITY OF PENDULUM-LIKE SATELLITE ROTATIONS AT THE BOUNDARIES OF STABILITY REGIONS
The motion of a rigid body satellite about its center of mass is considered. The problem of the orbital stability of planar pendulum-like rotations of the satellite is investigated. It is assumed that the satellite moves in a circular orbit and its geometry of mass corresponds to a plate. In...
2019 / Bardin Boris S., Chekina Evgeniya A.ScopusВАКRSCIMathSciNetzbMATH -
COMPLEX DYNAMICS INDUCED BY ASYMMETRY IN COUPLED LASER SYSTEMS
Coupled semiconductor lasers are systems possessing complex dynamics, which makes them interesting for many applications in photonics. In this paper, we first review our results on the existence and stability of asymmetric phase-locked states of a single dimer consisting of two coupled semiconductor ...
2019 / Bountis Anastasios, Kominis Yannis, Shena Joniald, Kovanis VassiliosScopusВАКRSCIMathSciNetzbMATH -
NONLINEAR STABILITY ANALYSIS OF RELATIVE EQUILIBRIA OF A SOLID CARRYING A MOVABLE POINT MASS IN THE CENTRAL GRAVITATIONAL FIELD
The motion of a solid (satellite) carrying a moving point mass in the central Newtonian gravitational field in an elliptical orbit of arbitrary eccentricity is considered. The law of motion of a point mass is assumed to allow for the existence of relative equilibria of the “body-point” system in the ...
2019 / Kholostova Olga V.ScopusВАКRSCIMathSciNetzbMATH -
ON THE STABILITY OF THOMSON’S VORTEX N-GON AND A VORTEX TRIPOLE/QUADRUPOLE IN GEOSTROPHIC MODELS OF BESSEL VORTICES AND IN A TWO-LAYER ROTATING FLUID: A REVIEW
In this paper the two-layer geostrophic model of the rotating fluid and the model of Bessel vortices are considered. Kirchhoff’s model of vortices in a homogeneous fluid is the limiting case of both of these models. Part of the study is performed for an arbitrary Hamiltonian depending on the distances ...
2019 / Kurakin Leonid G., Ostrovskaya Irina V.ScopusВАКRSCIMathSciNetzbMATH -
MATHEMATICAL MODELING OF PLASMA DYNAMICS FOR PROCESSES IN CAPILLARY DISCHARGES
A statement of the problem is presented and numerical modeling of plasma-gas-dynamic processes in the capillary discharge plume is performed. In the developed model, plasma dynamic processes in a capillary discharge are determined by the intensity, duration of plasma formation processes in the...
2019 / Kuzenov Victor V., Ryzhkov Sergey V.ScopusВАКRSCIMathSciNetzbMATH -
COMPLEX DYNAMICS IN GENERALIZATIONS OF THE CHAPLYGIN SLEIGH
The article considers the Chaplygin sleigh on a plane in a potential well, assuming that an external potential force is supplied at the mass center. Two particular cases are studied in some detail, namely, a one-dimensional potential valley and a potential with rotational symmetry; in both cases...
2019 / Kuznetsov Sergey P.ScopusВАКRSCIMathSciNetzbMATH -
SOME TRAJECTORIES OF A POINT IN THE POTENTIAL OF A FIXED RING AND CENTER
The problem of three-dimensional motion of a passively gravitating point in the potential created by a homogeneous thin fixed ring and a point located in the center of the ring is considered. Motion of the point allows two first integrals. In the paper equilibrium points and invariant manifolds of...
2019 / Sakharov Aleksandr V.ScopusВАКRSCIMathSciNetzbMATH -
BIFURCATION ANALYSIS OF PERIODIC MOTIONS ORIGINATING FROM REGULAR PRECESSIONS OF A DYNAMICALLY SYMMETRIC SATELLITE
We deal with motions of a dynamically symmetric rigid-body satellite about its center of mass in a central Newtonian gravitational field. In this case the equations of motion possess particular solutions representing the so-called regular precessions: cylindrical, conical and hyperboloidal...
2019 / Sukhov Egor A.ScopusВАКRSCIMathSciNetzbMATH
