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- W2034676561 abstract "In this paper, we use the nonlinear oscillator $$y' + omega^2(epsilon t) sin [kappa^2(epsilon t) y] = 0$$ to show that the adiabatic invariant depends on the solution y for which the adiabatic invariant is evaluated. This is different from the linear oscillator. Our results imply that for this nonlinear oscillator, there is no uniform controlling factor for the leading behavior of the total change in the adiabatic invariant for all nontrivial solutions." @default.
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- W2034676561 date "1998-01-01" @default.
- W2034676561 modified "2023-10-16" @default.
- W2034676561 title "Nonuniformity of Adiabatic Invariance for Nonlinear Oscillators" @default.
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- W2034676561 doi "https://doi.org/10.1137/s0036139997327587" @default.
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