Abstract
A new approach is presented in this paper on the basis of dynamic systems theory. This paper presents the form of a generic classification of stable response diagrams for the nonlinear Mathieu equation. In addition, a general method is presented for determining the topological type of the response diagram for a given equation. This method has been successfully applied to Euler dynamic buckling problems. Some new results are obtained.
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Yushu, C., Langford, W.F. The subharmonic bifurcation solution of nonlinear Mathieu's equation and Euler dynamic buckling problems. Acta Mech Sinica 4, 350–362 (1988). https://doi.org/10.1007/BF02486668
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DOI: https://doi.org/10.1007/BF02486668