On approximations of first integrals for strongly nonlinear oscillators

DOI10.1023/A:1024470410240zbMath1062.70044OpenAlexW1594072669MaRDI QIDQ1419498

S. B. Waluya, Wim T. van Horssen

Publication date: 14 January 2004

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

Full work available at URL: https://doi.org/10.1023/a:1024470410240

zbMATH Keywords

perturbation methodperiodic solutionbifurcationselliptic integralsfirst integralasymptotic approximation of first integralintegrating factorintegrating vectorelliptic functiongeneralized Rayleigh oscillator equation

Mathematics Subject Classification ID

Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42) Bifurcations and instability for nonlinear problems in mechanics (70K50) General perturbation schemes for nonlinear problems in mechanics (70K60)

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