Damped nonlinear oscillations modeled by a 3-dimensional differential system

DOI10.1007/BF01170417zbMath0527.70028OpenAlexW2036979303MaRDI QIDQ595380

Georgi Boyadzhiev

Publication date: 1983

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01170417

zbMATH Keywords

internal frictionelastic systemKrylov, Bogoliubov, Mitropolski methodnonlinear autonomous approximating systemvariable amplitudesvariable phaseweakly nonlinear system of third order

Mathematics Subject Classification ID

Nonlinear dynamics in mechanics (70K99)

Related Items (7)

An asymptotic method for second-order critically damped nonliner equations ⋮ Asymptotic solutions of third order over-damped non-linear systems with special conditions ⋮ On two classes of autonomous third-order nonlinear ordinary differential equations ⋮ A unified Krylov-Bogoliubov-Mitropolskii method for solving \(n\)th order nonlinear systems ⋮ An analytical technique to find approximate solutions of nonlinear damped oscillatory systems ⋮ An extension of the general Struble's method for solving an \(n\)th order nonlinear differential equation when the corresponding unperturbed equation has some repeated eigenvalues ⋮ Damped oscillations modeled by a 3-dimensional time dependent differential system

Cites Work

• Unnamed Item
• Non-linear oscillations of a third-order differential equation
• Asymptotic solutions of partial differential equations with damping and delay
• Introduction to Non-Linear Mechanics. (AM-11)

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