High-order energy balance method to nonlinear oscillators

DOI10.1155/2012/518684zbMath1251.65117OpenAlexW2107518233WikidataQ58906051 ScholiaQ58906051MaRDI QIDQ1760720

Seher Durmaz, Metin Orhan Kaya

Publication date: 15 November 2012

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/518684

zbMATH Keywords

cubic-quintic Duffing oscillatorhigh-order nonlinear oscillators

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Numerical methods for ordinary differential equations (65L99)

Related Items (2)

Unnamed Item ⋮ RATIONAL ENERGY BALANCE METHOD TO NONLINEAR OSCILLATORS WITH CUBIC TERM

Cites Work

• Analysis of nonlinear oscillations of a punctual charge in the electric field of a charged ring via a Hamiltonian approach and the energy balance method
• Periodic solutions for some strongly nonlinear oscillations by He's variational iteration method
• Periodic solutions for some strongly nonlinear oscillations by He's energy balance method
• Global error minimization method for solving strongly nonlinear oscillator differential equations
• Variational iteration method -- some recent results and new interpretations
• An analytical approximate technique for a class of strongly non-linear oscillators
• Preliminary report on the energy balance for nonlinear oscillations.
• Rational harmonic balance based method for conservative nonlinear oscillators: application to the Duffing equation
• Application of He's energy balance method to Duffing-harmonic oscillators

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