scientific article

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

Publication date: 1958

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

ordinary differential equations asymptotic methods

Forced motions for nonlinear problems in mechanics (70K40) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Research exposition (monographs, survey articles) pertaining to mechanics of particles and systems (70-02) Research exposition (monographs, survey articles) pertaining to ordinary differential equations (34-02) Asymptotic theory for ordinary differential equations (34Exx)

Related Items (37)

Predominantly unidirectional flow of a viscous liquid ⋮ Commensurability and Molchanov's hypothesis ⋮ The application of monomial Lie groups to the problem of asymptotically integrating equations of mechanics ⋮ First and second order approximations for a nonlinear wave equation ⋮ Numerical simulations of solutions of a two-level averaged Navier-Stokes system ⋮ Fokker-Planck model of charged-particle beam behavior in a strong toroidal magnetic field ⋮ Dynamics of delay systems with rapidly oscillating coefficients ⋮ On the motion of a satellite about its center of mass under the action of gravitational moments ⋮ On Global Dynamics in Duffing Equation with Quasiperiodic Perturbation ⋮ Breaking of two-dimensional relativistic electron oscillations under small deviations from axial symmetry ⋮ Limit oscillatory cycles in the single mode flutter of a plate ⋮ Quasiperiodic perturbations of two-dimensional Hamiltonian systems ⋮ Emergence and decay of \(\pi \)-kinks in the sine-Gordon model with high-frequency pumping ⋮ On isochronous suspension of clock pendula ⋮ On the generalized Gardner problem for phase-locked loops in electrical grids ⋮ On a problem of the theory of nonlinear oscillations ⋮ Non-conservative oscillations of a tool for deep hole honing ⋮ Free entirely elastic oscillatory chains ⋮ Renormalization group method applied to the primitive equations ⋮ Limit theorems for the solutions of boundary-value problems ⋮ Nonlinear oscillations of a spring pendulum at the \(1 : 1 : 2\) resonance: theory, experiment, and physical analogies ⋮ Drift of slow variables in slow-fast Hamiltonian systems ⋮ Method to construct periodic solutions of controlled second-order dynamical systems ⋮ Periodic solutions of differential systems, Galerkin's procedure and the method of averaging ⋮ Averaging methods for differential equations with retarded arguments and a small parameter ⋮ Numerical computation of nonlinear forced oscillations by Galerkin's procedure ⋮ An averaging theorem for distributed conservative systems and its application to von Kármán's equations ⋮ Approximate calculation of optimal control problems ⋮ Recent Soviet contributions to ordinary differential equations and nonlinear mechanics ⋮ Interpretation and mechanism of restructuring of near wake flow caused by the glow discharge ⋮ Determination of the frequency of the approximate solution of Hill's equation ⋮ Nonlinear dynamics of self and parametrically excited systems with non-ideal energy source ⋮ On periodic motions of a class of autonomous systems ⋮ Comparison of the periodic solutions of quasi-linear systems constructed by the method of poincaré and by the method of Krylov-Bogoliubov ⋮ On the stability of a pulsating plasma cylinder ⋮ Symplectic homogenization ⋮ Asymptotic methods of integrating the equations of motion of artificial earth satellites in the presence of aerodynamic forces

This page was built for publication: