A successive integration technique for the solution of the Duffing oscillator equation with damping and excitation

DOI10.1016/J.NA.2008.07.017zbMath1162.65365OpenAlexW2041680183MaRDI QIDQ1012073

J. Martínez

Publication date: 14 April 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.07.017

zbMATH Keywords

stabilitynumerical examplesperiodic solutionDuffing oscillatornonlinear oscillationharmonic balance methodsuccessive integration technique

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (3)

Boundary value problems for impulsive Bagley-Torvik models involving the Riemann-Liouville fractional derivatives ⋮ Composite tracking control for generalized practical synchronization of Duffing-Holmes systems with parameter mismatching, unknown external excitation, plant uncertainties, and uncertain deadzone nonlinearities ⋮ Boundary value problems of singular multi-term fractional differential equations with impulse effects

Cites Work

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• An iteration approach to nonlinear oscillations of conservative single-degree-of-freedom systems
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Iteration procedure for determining approximate solutions to non-linear oscillator equations
• A RATIONAL HARMONIC BALANCE APPROXIMATION FOR THE DUFFING EQUATION OF MIXED PARITY
• RESPONSE OF A DUFFING OSCILLATOR TO COMBINED DETERMINISTIC HARMONIC AND RANDOM EXCITATION
• Analytical study on a Duffing-harmonic oscillator
• A generalization of the method of harmonic balance
• Letter to the Editor
• A 1/3 pure subharmonic solution and transient process for the Duffing's equation

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