scientific article; zbMATH DE number 3368210

Publication date: 1971

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

Newton-type methods (49M15) Nonlinear resonances for nonlinear problems in mechanics (70K30) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to mechanics of particles and systems (70-01) Nonlinear dynamics in mechanics (70Kxx)

Related Items

High approximations in the averaging method for investigating a perturbed oscillating system, The stability of neutral systems in the case of a multiple fourth-order resonance, Darrieus-Magnus type wind turbine: dynamics and control, On evolutionary motions of a particle in a gravitational field, Dynamics of the pendulum with periodically varying length, A method of constructing polhodes of an intermediate motion in the dynamics of a rigid body, Unnamed Item, Dynamics of delay systems with rapidly oscillating coefficients, Asymptotic analysis of dynamical systems subjected to high-frequency interactions, Effects produced by oscillations applied to nonlinear dynamic systems: a general approach and examples, Analysis of the spatial non-linear vibrations of a string, Averaging in a quasilinear system with a strongly varying frequency, Stability of certain two-particle systems, Unnamed Item, Self-sustained oscillations of Rayleigh and Van der Pol oscillators with moderately large feedback factors, The problem of a pendulum with an oscillating point of suspension, Almost-periodic resonance oscillations in nonlinear two-dimensional systems with slowly varying parameters, Transition processes in tippe-top dynamics, Method of averaging in multifrequency systems with slowly varying parameters, The dynamics of a ``flexible-rotor/limited-power-excitation-source system, The stability of the parametric oscillations of second-order nonlinear systems, Unnamed Item, Unnamed Item, Unnamed Item, Unnamed Item, Asymptotic solution of certain nonlinear problems of time-optimal response, Control of the motion of a contactless gyroscope, Time-optimal stabilization of a perturbed system with invariant norm, Dynamics of the conductivity solid bodies in a high-frequency alternating magnetic field, Comparison principle for systems of differential equations with rapidly rotating phase, Perturbed motions of a rigid body, close to the Lagrange case, Vibrational stabilization and the Brockett problem, Andronov-Hopf bifurcation in logistic delay equations with diffusion and rapidly oscillating coefficients, On rotational solutions for elliptically excited pendulum, On the qualitative investigation of motions using asymptotic methods of nonlinear mechanics, Study of the quasilinear oscillations of mechanical systems with distributed and lumped parameters, Quasiperiodic perturbations of two-dimensional Hamiltonian systems, Applications of the methods of averaging and successive approximations for studying nonlinear oscillations, Averaging of fuzzy controlled differential inclusions with terminal quality criterion, On resonances in systems of two weakly coupled oscillators, Spheroid dynamics on a horizontal plane with friction, Perturbed rotational motions of a rigid body similar to regular precession, Unnamed Item, Unnamed Item, Unnamed Item, Unnamed Item, Equivalent linearization of quasilinear oscillating systems with slowly varying parameters, Forced oscillations of a non-linear system with a repulsive positional force, Nonlinear systems with fast and slow motions. Changes in the probability distribution for fast motions under the influence of slower ones, Application of the averaging principle to the study of the dynamics of the delay logistic equation, Rapid motion around a fixed point of a heavy solid in a medium with a square law of resistance, Periodic oscillation of a pendulum with horizontal vibration of the support point, The method of normalizing transformations in branching theory for periodic solutions of nonlinear singularly perturbed systems of differential equations, The application of the method of averaging to a two-point boundary value problem for systems of integrodifferential equations of Volterra type, Stabilization of free rotation of an asymmetric top with cavities completely filled with a liquid, Invariant toroidal manifolds and resonances in discrete dynamical systems, On synchronization of dynamic systems, Asymptotic solution of certain problems of time-optimal type, Optimal control of the motion of a quasilinear oscillatory system by small forces, On the precession equations of gyroscopic systems, Asymptotic analysis of the dither effect in systems with friction, The evolution of the motions of a rigid body close to the Lagrange case under the action of an unsteady torque, Passage through a separatrix in a resonance problem with a slowly-varying parameter, Study of steady modes of disturbed autonomous systems in critical cases, Step-by-step averaging of linear differential inclusions of variable dimension on a finite interval, Averaging in certain systems of integrodifferential equations with slowly changing and rapidly changing variables, Approximate solution of nonlinear problems of optimal control of oscillatory processes using the method of canonical separation of motions, Resonance motions in an essentially nonlinear system containing stable elements, Homogenization over the spatial variable in nonlinear parabolic systems, Optimal control of motions of a bifilar pendulum, Dynamics of a double rotating system of bodies in a Newtonian force field, Asymptotic behavior of solutions of systems with slow and fast variables.II, Asymptotic expansions in nonlinear mechanics, Averaging scheme for integrodifferential inclusions, Pseudolinear approximation in the averaging method, Bertolino-Baksa stability at nonlinear vibrations of motor vehicles, Rapid rotation of a heavy gyrostat about a fixed point in a resisting medium, Technical stability of a system with fast and slow motions, Asymptotic integration of differential equations with oscillatory terms of large amplitudes. I, Justification of the averaging method for a system of equations with the Navier–Stokes operator in the principal part, Certain iteration methods for the determination of periodic solutions of nonautonomous systems of differential equations, On nonconservative periodic systems close to two-dimensional Hamiltonian, A special case of the successive approximation method for autonomous differential equations with a small parameter, On averaging in systems with a variable number of degrees of freedom, Asymptotics of solutions of systems with slow and fast variables, The calculation of a first approximation for systems with strongly nonlinear oscillatory sections, Parametric control of oscillations and rotations of a compound pendulum (a swing), Some conditions for the existence and stability of periodic oscillations in non-linear non-autonomous Hamiltonian systems, Unnamed Item, On a modification of the averaging method for seeking higher approximations