Asymptotic solutions and stability analysis for generalized non-homogeneous Mathieu equation
Periodic solutions of Mathieu's nonhomogeneous generalized equation are obtained by using asymptotic analysis. The transition curves for some special values of the governing parameters are presented. For the stability analysis of those transition curves, the multiple scale method is used. Analytical results are verified by numerical simulations.
scientific article; zbMATH DE number 5072622