scientific article

From MaRDI portal
Publication:4059246

zbMath0303.34043MaRDI QIDQ4059246

Yu. O. Mitropol's'kii, N. N. Bogoliubow

Publication date: 1974


Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.


Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).


Related Items (only showing first 100 items - show all)

Averaging for High-Frequency Normal System of Ordinary Differential Equations with Multipoint Boundary Value ProblemsA new approach to the theory of the stability of linear canonical systems of differential equations with periodic coefficientsSelf-sustained oscillations of Rayleigh and Van der Pol oscillators with moderately large feedback factorsThe renormalization-group method in problems of mechanicsCRITICAL TRAVELLING WAVES IN ONE MODEL OF THE ”REACTION-DIFFUSION” TYPEGeneralization of the concept of attractor for pendulum systems with finite excitationsAsymptotic analysis of the parametric instability of nonlinear hyperbolic equationsAveraging method for quasi-linear hyperbolic systemsAsymptotic analysis of boundary-value problems for the Laplace operator with frequently alternating type of boundary conditionsNonlinear effects and run-up of coastal waves generated by billiards with semi-rigid walls in the framework of shallow water theoryHigh-frequency asymptotics of solutions of ODE in a Banach spaceUnnamed ItemMemory-Induced Bifurcation and Oscillations in the Chemical Brusselator ModelOn resolvent of multi-dimensional operators with frequent alternation of boundary conditions: critical caseAveraging of differential inclusionsComplete and partial averaging of nonautonomous nonlinear dissipative systemsConstruction of doubly periodic solutions via the Poincaré-Lindstedt method in the case of massless \(\varphi^4\) theoryРежим скатывания в модели Хиггса с трениемIncrease in the Accuracy of the Parameters Identification for a Vibrating Ring Microgyroscope Operating in the Forced Oscillation Mode with Nonlinearity Taken into AccountNonlinear problem of the filtration field of a flat flowUnnamed ItemJustification of the averaging method for a system of equations with the Navier–Stokes operator in the principal partStability of structures and asymptotics of nonlinear parabolic type equations solutions with transformation of argumentsReduction of the Mathieu equation to a nonlinear equation of the first orderApplication of the method of two-scale expansions to the single-frequency problem of the theory of nonlinear oscillationsThe dynamics of second-order equations with delayed feedback and a large coefficient of delayed controlBistability of rotational modes in a system of coupled pendulumsRandom oscillations in the Van der Pol system under the action of a broadband random processA top on a vibrating base: new integrable problem of nonholonomic mechanicsBogolyubov theorem for quasidifferential equations with pulsesOn the resolvent of multidimensional operators with frequently alternating boundary conditions with the Robin homogenized conditionStellarator expansion methods for MHD equilibrium and stability calculationsSingularly perturbed homotopy analysis methodConstruction of an asymptotic solution of the auto-resonance problem. Inner decompositionAsymptotics for the solution of averaged equations for a system of coupled oscillatorsApproximate solution of some perturbed boundary value problemsThe construction of phase paths of a Hamiltonian system in the neighbourhood of an equilibriumAsymptotic analysis of dynamical systems subjected to high-frequency interactionsAnalysis of the spatial non-linear vibrations of a stringAveraging in a quasilinear system with a strongly varying frequencyStability of equilibrium with respect to white noiseStability of capture into parametric autoresonanceOn the existence of periodic solutions of ordinary differential equations with high-frequency summands in a Banach spaceOn global asymptotic stability and stability of saddle solutions at infinityBoundary-value problems with initial jumps for singularly perturbed integrodifferential equationsComputational study of three-dimensional magnetohydrodynamic equilibria in toroidal helical systemsStability of autoresonance modelsUndefined frequencies methodQuasi-optimal stabilization of oscillatory systems with many degrees of freedomOn the change in the adiabatic invariant on crossing a separatrix in systems with two degrees of freedomStability of the one-dimensional motions of a viscous gas with a linear dependence of the velocity on the coordinatesStability of autoresonance models subject to random perturbations for systems of nonlinear oscillation equationsA probabilistic model of thermal explosion in polydisperse fuel sprayDynamics of periodic modes for the phenomenological equation of Spin combustionAveraging of set-valued impulsive systemsTheory of bifurcations of the Schrödinger equationCompensating unremovable imperfections in operation unitsMethod of passification in adaptive control, estimation, and synchronizationAsymptotic integration of a system of differential equations with high-frequency terms in the critical caseThree-step averaging scheme for set-valued differential equations with generalized derivativeAveraging of fuzzy systemsA study of the global asymptotic stability of a one-parameter family of systemsVibrational stabilization and the Brockett problemAndronov-Hopf bifurcation in logistic delay equations with diffusion and rapidly oscillating coefficientsPeriodic solutions of parabolic inclusions and the averaging methodAnalysis of the dynamics of fuel spray using asymptotic methods: The method of integral invariant manifoldsOn the plane resonant rotations of a satellite with a spherical damper in an elliptical orbitThe time evolution of the size distribution of droplets effects on the thermal explosion of polydisperse fuel sprayOn periodic solutions of autonomous systemsStudy of the quasilinear oscillations of mechanical systems with distributed and lumped parametersAsymptotic estimates for the solutions of boundary-value problems with initial jump for linear differential equations with small parameter in the coefficients of derivatives``Oscillator--wave model: Properties and heuristic instances.On the construction of a bounded control in oscillatory systemsAdmissibility of simplified equations in the dynamics of gyroscopic systemsOn periodic solutions of linear differential equations with pulsed influenceOn the motion of non-linear oscillators with a fractional-order restoring force and time variable parametersParametric chaos in nonlinear flutter systemsParametric oscillations of nonlinear flutter systemsEvolution of the rotational movement of a dynamically symmetric satellite with inner damping in a circular orbitRotational motion of a non-symmetrical satellite with a damper in a circular orbitDynamics of a second-order nonlinear equation with a large coefficient of delay controlPerturbed rotational motions of a rigid body similar to regular precessionLyapunov functions and asymptotics at infinity of solutions of equations that are close to Hamiltonian equationsOn the averaging of differential equations on an infinite intervalOn Quasi-Periodic Parametric Perturbations of Hamiltonian SystemsEstimation of the Accuracy of the Averaging Method for Systems with Multifrequency PerturbationsSynchronization in a nonisochronous nonautonomous systemAveraging of systems of differential inclusions with slow and fast variablesEquivalent linearization of quasilinear oscillating systems with slowly varying parametersAveraging of multicriteria control problems of systems on time scalesJustification of the averaging method for differential equations with large rapidly oscillating summands and boundary conditionsAsymptotic decomposition method as development of bogoliubov averaging methodWind turbine of the Savonius-Magnus type with conical blades: dynamics and controlEdge effect in a two-layer orthotropic stripExistence theorems and estimates of solutions for equations of principal resonanceWave propagation and vibration of elastic rods with interfacial frictional slipExistence of countably many cycles in hyperbolic systems of differential equations with transformed argumentSchemes of complete averaging in the problem of optimal control over a functional-differential systemResonance capture in a system of two oscillators near equilibriumAutoresonance in a model of a terahertz wave generator




This page was built for publication: