Higher order accuracy analysis of the second-order normal form method

DOI10.1007/s11071-012-0608-7zbMath1268.34071OpenAlexW1999183658WikidataQ61941888 ScholiaQ61941888MaRDI QIDQ354564

Zhenfang Xin, Zhengxing Zuo, Huihua Feng, David J. Wagg, Simon A. Neild

Publication date: 19 July 2013

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-012-0608-7

zbMATH Keywords

nonlinear vibrationhigher order accuracysecond-order normal form method

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Normal forms for nonlinear problems in mechanics (70K45)

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Cites Work

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• Linear stability and Hopf bifurcation in an exponential RED algorithm model
• Applying the method of normal forms to second-order nonlinear vibration problems