465 citations · 10.9k across the 187 of their papers we have counts for
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Hill's Equation with Small Fluctuations: Cycle to Cycle Variations and Stochastic Processes
Fred C. Adams, Anthony M. Bloch
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…
Hill's Equation with Random Forcing Parameters: Determination of Growth Rates through Random Matrices
Fred C. Adams, Anthony M. Bloch
This paper derives expressions for the growth rates for the random 2 x 2 matrices that result from solutions to the random Hill's equation. The parameters that appear in Hill's equ…
Hill's Equation with Random Forcing Parameters: The Limit of Delta Function Barriers
Fred C. Adams, Anthony M. Bloch
This paper considers random Hill's equations in the limit where the periodic forcing function becomes a Dirac delta function. For this class of equations, the forcing strength $q_k…
Hill's Equation with Random Forcing Terms
Fred Adams, Anthony Bloch
Motivated by a class of orbit problems in astrophysics, this paper considers solutions to Hill's equation with forcing strength parameters that vary from cycle to cycle. The result…