A unified Krylov-Bogoliubov-Mitropolskii method for solving \(n\)th order nonlinear systems

DOI10.1016/S0016-0032(02)00020-0zbMath1019.93022OpenAlexW2167142890MaRDI QIDQ697804

Md. Shamsul Alam

Publication date: 17 September 2002

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0016-0032(02)00020-0

zbMATH Keywords

transient response\(n\)th order nonlinear systemsKrylov-Bogoliubov-Mitropolskii method

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Design techniques (robust design, computer-aided design, etc.) (93B51)

Related Items (5)

A new technique for solving a class of strongly nonlinear oscillatory equations ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Asymptotic solutions of third order over-damped non-linear systems with special conditions ⋮ 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

Cites Work

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• Damped nonlinear oscillations modeled by a 3-dimensional differential system
• An asymptotic method for second-order critically damped nonliner equations
• A unified Krylov-Bogoliubov-Mitropolskii method for solving third-order nonlinear systems
• A unified Krylov-Bogoliubov method for solving second-order non-linear systems
• Non-linear oscillations of a third-order differential equation
• On an asymptotic method of Krylov-Bogoliubov for overdamped on linear systems
• Introduction to Non-Linear Mechanics. (AM-11)

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