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On approximations of first integrals for a system of weakly nonlinear, coupled harmonic oscillators

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Publication:1871146
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DOI10.1023/A:1020539621532zbMath1023.70010OpenAlexW2103896515MaRDI QIDQ1871146

S. B. Waluya, Wim T. van Horssen

Publication date: 6 May 2003

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

Full work available at URL: https://doi.org/10.1023/a:1020539621532

zbMATH Keywords

stabilitybifurcation diagramsasymptotic approximation of first integralintegrating vectorinternal resonancesexistence of time-periodic solutionspeturbation methodweakly nonlinear coupled harmonic oscillators


Mathematics Subject Classification ID

General perturbation schemes for nonlinear problems in mechanics (70K60) Nonlinear resonances for nonlinear problems in mechanics (70K30)


Related Items

Approximations for period-1 rotation of vertically and horizontally excited parametric pendulum, Nonlinear asymptotic analysis of a system of two free coupled oscillators with cubic nonlinearities, First integrals and analytical solutions of some dynamical systems



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