Analytical approximate periodic solutions for two-degree-of-freedom coupled van der Pol-Duffing oscillators by extended homotopy analysis method (Q540734)

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scientific article; zbMATH DE number 5903863
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Analytical approximate periodic solutions for two-degree-of-freedom coupled van der Pol-Duffing oscillators by extended homotopy analysis method
scientific article; zbMATH DE number 5903863

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    Analytical approximate periodic solutions for two-degree-of-freedom coupled van der Pol-Duffing oscillators by extended homotopy analysis method (English)
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    3 June 2011
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    The extended homotopy analysis method (EHAM) is applied to a achieve the accurate approximate analytical solutions for two-degree of freedom (2DOF) coupled van der Pol-Duffing oscillator. The EHAM provides a proper and systematic way to ensure the convergence of analytic approachment series solutions. Numerical comparisons confirm the accuracy and correctness of the EHAM for 2DOF coupled oscillators. From the examples given in this paper, results that the EHAM is valid for dealing with nonlinear dynamical systems in engineering and physical sciences.
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    extended homotopy analysis method
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    van der Pol-Duffing oscillator
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