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- W3127207029 abstract "Abstract We obtain power series solutions to the “abc equation” dydx=a+bcosy+ccosx, valid for small c, and for small b. This equation is shown to determine the stability of the quasiperiodic Mathieu equation, z¨+(δ+ϵA1cost+ϵA2cosωt)z=0, in the small ϵ limit. Perturbation results of the abc equation are shown to compare favorably to numerical integration of the quasiperiodic Mathieu equation." @default.
- W3127207029 created "2021-02-15" @default.
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- W3127207029 date "1999-09-12" @default.
- W3127207029 modified "2023-09-26" @default.
- W3127207029 title "On the Torus Flow Y′ = A + B cos Y + C cos X and its Relation to the Quasiperiodic Mathieu Equation" @default.
- W3127207029 doi "https://doi.org/10.1115/detc99/vib-8052" @default.
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