Sub-harmonic resonances of nonlinear oscillations with parametric excitation by means of the homotopy analysis method

DOI10.1016/j.physleta.2007.09.057zbMath1209.65084OpenAlexW2047550764MaRDI QIDQ716044

Jianmin Wen, Zhengcai Cao

Publication date: 19 April 2011

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2007.09.057

zbMATH Keywords

nonlinear oscillationseries solutionshomotopy analysis method (HAM)sub-harmonic resonances

Mathematics Subject Classification ID

Numerical methods for ordinary differential equations (65L99)

Related Items (4)

Extended homotopy analysis method for multi-degree-of-freedom non-autonomous nonlinear dynamical systems and its application ⋮ Primary resonance of multiple degree-of-freedom dynamic systems with strong non-linearity using the homotopy analysis method ⋮ Periodic solutions of multi-degree-of-freedom strongly nonlinear coupled van der Pol oscillators by homotopy analysis method ⋮ Accurate approximate analytical solutions for multi-degree-of-freedom coupled van der Pol-Duffing oscillators by homotopy analysis method

Cites Work

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• Series Solutions of Unsteady Boundary‐Layer Flows over a Stretching Flat Plate
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• Analytic solutions of the temperature distribution in Blasius viscous flow problems
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