Periodic solutions of multi-degree-of-freedom strongly nonlinear coupled van der Pol oscillators by homotopy analysis method

DOI10.1007/s00707-010-0405-7zbMath1331.70065OpenAlexW2067040716MaRDI QIDQ539312

Wei Zhang, Youhua Qian, Siu-Kai Lai, Minghui Yao

Publication date: 27 May 2011

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00707-010-0405-7

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Nonlinear dynamics in mechanics (70K99) Numerical methods for ordinary differential equations (65L99)

Related Items (5)

Asymptotic analytical solutions of the two-degree-of-freedom strongly nonlinear van der Pol oscillators with cubic couple terms using extended homotopy analysis method ⋮ Extended homotopy analysis method for multi-degree-of-freedom non-autonomous nonlinear dynamical systems and its application ⋮ Study on asymptotic analytical solutions using HAM for strongly nonlinear vibrations of a restrained cantilever beam with an intermediate lumped mass ⋮ Approximate limit cycles of coupled nonlinear oscillators with fractional derivatives ⋮ Analytical approximate periodic solutions for two-degree-of-freedom coupled van der Pol-Duffing oscillators by extended homotopy analysis method

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