Физика список научных статей
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Methods of Simplifying Optimal Control Problems, Heat Exchange and Parametric Control of Oscillators
Methods of simplifying optimal control problems by decreasing the dimension of the space of states are considered. For this purpose, transition to new phase coordinates or conversion of the phase coordinates to the class of controls is used. The problems of heat exchange and parametric control of...
2023 / A. M. TsirlinScopusВАКRSCIMathSciNetzbMATH -
Analysis of Stationary Points and Bifurcations of a Dynamically Consistent Model of a Two-Dimensional Meandering Jet
A dynamically consistent model of a meandering jet stream with two Rossby waves obtained using the law of conservation of potential vorticity is investigated. Stationary points are found in the phase space of advection equations and the type of their stability is determined analytically. All...
2023 / A. A. Udalov, M.Yu. Uleysky, M. V. BudyanskyScopusВАКRSCIMathSciNetzbMATH -
Nonlinear Dynamics of a Microscale Rate Integrating Gyroscope with a Disk Resonator under Parametric Excitation
This article presents an analytical study of the dynamics of a micromechanical integrating gyroscope with a disk resonator. A discrete dynamic model of the resonator is obtained, taking into account the axial anisotropy of its mass and stiffness properties, as well as the action of the electrical...
2023 / D. A. Indeitsev, E. V. Zavorotneva, A. V. Lukin, I. A. Popov, V. S. IgumnovaScopusВАКRSCIMathSciNetzbMATH -
Attractors of a Weakly Dissipative System Allowing Transition to the Stochastic Web in the Conservative Limit
This article deals with the dynamics of a pulse-driven self-oscillating system — the Van der Pol oscillator — with the pulse amplitude depending on the oscillator coordinate. In the conservative limit the “stochastic web” can be obtained in the phase space when the function defining this dependence ...
2023 / A.V. Golokolenov, D.V. SavinScopusВАКRSCIMathSciNetzbMATH -
An Inhomogeneous Steady-State Convection of a Vertical Vortex Fluid
An exact solution of the Oberbeck –Boussinesq equations for the description of the steadystate Bénard –Rayleigh convection in an infinitely extensive horizontal layer is presented. This exact solution describes the large-scale motion of a vertical vortex flow outside the field of the Coriolis...
2023 / S. A. Berestova, E.Yu. ProsviryakovScopusВАКRSCIMathSciNetzbMATH -
Singularities of the Dynamics of Some Bar Systems with Unilateral Constraints
This paper deals with a formulation and a solution of problems of the dynamics of mechanical systems for which solutions that do not take into account the unilateral nature of the constraints imposed on the objects under study have been obtained before. The motive force in all the cases considered...
2023 / G. M. Rozenblat, V. T. GrishakinScopusВАКRSCIMathSciNetzbMATH -
Plane-Parallel Advective Flow in a Horizontal Layer of Incompressible Permeable Fluid
In this paper a new exact solution of the Navier – Stokes equations in the Boussinesq approximation describing advective flow in a horizontal liquid layer with free boundaries, where the vertical velocity component is a constant value, is obtained. The temperature is linear along the boundaries of...
2023 / K. G. ShvartsScopusВАКRSCIMathSciNetzbMATH -
The Control of an Aquatic Robot by a Periodic Rotation of the Internal Flywheel
This paper presents the design of an aquatic robot actuated by one internal rotor. The robot body has a cylindrical form with a base in the form of a symmetric airfoil with a sharp edge. For this object, equations of motion are presented in the form of Kirchhoff equations for rigid body motion in...
2023 / A.V. Klekovkin, Yu. L. Karavaev, I. S. MamaevScopusВАКRSCIMathSciNetzbMATH -
Noise Impact on a Recurrent Neural Network with a Linear Activation Function
In recent years, more and more researchers in the field of artificial neural networks have been interested in creating hardware implementations where neurons and the connection between them are realized physically. Such networks solve the problem of scaling and increase the speed of obtaining and...
2023 / V. M. Moskvitin, N. I. SemenovaScopusВАКRSCIMathSciNetzbMATH -
Kink Dynamics in the φ4 Model with Extended Impurity
The φ4 theory is widely used in many areas of physics, from cosmology and elementary particle physics to biophysics and condensed matter theory. Topological defects, or kinks, in this theory describe stable, solitary wave excitations. In practice, these excitations, as they propagate, necessarily...
2023 / M. I. Fakhretdinov, K.Y. Samsonov, S.V. Dmitriev, E.G. EkomasovScopusВАКRSCIMathSciNetzbMATH -
On a Sailed Spacecraft Motion along a Handrail Fixed to Two Heliocentric Space Stations
Motion of a particle modeling a spacecraft with a solar sail along a handrail joining two heliocentric space stations is considered under the assumption that the sail is a perfect reflecting plane that can be located at any angle with respect to the direction of solar rays, the particle does not...
2023 / V. S. Vaskova, A. V. RodnikovScopusВАКRSCIMathSciNetzbMATH -
Nonlinear Resonance in a Position-Dependent Mass-Duffing Oscillator System with Monostable Potentials Driven by an Amplitude-Modulated Signal
This study examines the phenomenon of vibrational resonance (VR) in a classical positiondependent mass (PDM) system characterized by three types of single-well potentials. These potentials are influenced by an amplitude-modulated (AM) signal with Ω ω. Our analysis is limited to the following...
2023 / K. Suddalai Kannan, S. M.Abdul Kader, V. Chinnathambi, M.V. Sethu Meenakshi, S.RajasekarScopusВАКRSCIMathSciNetzbMATH -
Keeping a Solar Sail near the Triangular Libration Point of a Dumbbell-Shaped or Binary Asteroid
The possibility of keeping a spacecraft with a solar sail near an unstable triangular libration point of a minor planet or a binary asteroid is studied under the assumption that only the gravitation and the solar radiation influence the spacecraft motion. The case where the solar sail orientation...
2023 / A. V. RodnikovScopusВАКRSCIMathSciNetzbMATH -
Design of a Robotic Spherical Wrist with Variable Stiffness
This paper discusses the design of an adjustable force compensator for a spherical wrist dedicated to robot milling and incremental sheet metal forming applications. The design of the compensator is modular and can be introduced to any existing manipulator design as a single multi-body auxiliary...
2023 / A.A. Demian, A. S. KlimchikScopusВАКRSCIMathSciNetzbMATH -
Enhanced Adaptive Control over Robotic Systems via Generalized Momentum Dynamic Extensions
Adaptive control and parameter estimation have been widely employed in robotics to deal with parametric uncertainty. However, these techniques may suffer from parameter drift, dependence on acceleration estimates and conservative requirements for system excitation. To overcome these limitations,...
2023 / S. Nedelchev, L. Kozlov, R. Khusainov, I. GaponovScopusВАКRSCIMathSciNetzbMATH -
Attractive Impurity as a Generator of Wobbling Kinks and Breathers in the φ4 Model
The φ4 theory is widely used in many areas of physics, from cosmology and elementary particle physics to biophysics and condensed matter theory. However, in the φ4 model, there are no spatially localized solutions in the form of breathers. Topological defects, or kinks, in this theory describe...
2024 / M. I. Fakhretdinov, K.Y. Samsonov, S.V. Dmitriev, E.G. EkomasovScopusВАКRSCIMathSciNetzbMATH -
Geometry and Kinematics of the Mecanum Wheel on a Plane and a Sphere
This article is devoted to a study of the geometry and kinematics of the Mecanum wheels, also known as Ilon wheels or the Swedish wheels. The Mecanum wheels are one of the types of omnidirectional wheels. This property is provided by peripheral rollers whose axes are deviated from the wheel one by...
2024 / B. I. AdamovScopusВАКRSCIMathSciNetzbMATH -
Bifurcation Analysis of the Problem of Two Vortices on a Finite Flat Cylinder
This paper addresses the problem of the motion of two point vortices of arbitrary strengths in an ideal incompressible fluid on a finite flat cylinder. A procedure of reduction to the level set of an additional first integral is presented. It is shown that, depending on the parameter values, three...
2024 / A.A. Kilin, E.M. ArtemovaScopusВАКRSCIMathSciNetzbMATH -
Prandtl System of Equations with Self-Induced Pressure for the Case of Non-Newtonian Fluid: Dynamics of Boundary Layer Separation
The problem of flow of a non-Newtonian viscous fluid with power-law rheological properties along a semi-infinite plate with a small localized irregularity on the surface is considered for large Reynolds numbers. The asymptotic solution with double-deck structure of the boundary layer is...
2024 / R.K. GaydukovScopusВАКRSCIMathSciNetzbMATH -
Mass Sensing by Symmetry Breaking and Mode Localization in a System of Parametrically Excited Microbeam Resonators
In this work, we study the nonlinear dynamics of a mode-localized mass detector. A system of equations is obtained for two weakly coupled beam resonators with an alternating electric current flowing through them and taking into account the point mass on one of the resonators. The onedimensional...
2024 / Nadezhda V. Piskun, A. V. Lukin, I. A. Popov, L. V. ShtukinScopusВАКRSCIMathSciNetzbMATH