Dynamical Hysteresis without Static Hysteresis: Scaling Laws and Asymptotic Expansions
نویسندگان
چکیده
منابع مشابه
Dynamical Hysteresis without Static Hysteresis: Scaling Laws and Asymptotic Expansions
We study dynamical hysteresis in a simple class of nonlinear ordinary differential equations, namely first-order equations subject to sinusoidal forcing. The assumed nonlinearities are such that the area of the hysteresis loop vanishes as the forcing frequency tends to zero; in other words, there is no static hysteresis. Using regular and singular perturbation techniques, we derive the first te...
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ژورنال
عنوان ژورنال: SIAM Journal on Applied Mathematics
سال: 1997
ISSN: 0036-1399,1095-712X
DOI: 10.1137/s0036139995290733