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- W73167170 abstract "Hill’s equations arise in a wide variety of physical problems, and are specified by a natural frequency, a periodic forcing function, and a forcing strength parameter. This classic problem can be generalized by allowing the forcing strength q k , the frequency λ k , and the period (Δ τ) k of the forcing function to vary from cycle to cycle. The growth rates for the solutions are then given by the growth rates of a matrix transformation, under matrix multiplication, where the elements vary from cycle to cycle. Simplified models of such problems are given by products of 2 ×2 random matrices drawn from a given class." @default.
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- W73167170 date "2013-01-01" @default.
- W73167170 modified "2023-09-23" @default.
- W73167170 title "Random Hill’s Equations, Random Walks, and Products of Random Matrices" @default.
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- W73167170 doi "https://doi.org/10.1007/978-3-0348-0451-6_17" @default.
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