Asymptotic Stability of Large-amplitude Oscillations in Systems with Hysteresis |
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Authors: | Dmitrii Rachinskii |
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Affiliation: | (1) Institute for Information Transmission Problems, 19 Bol'shoj Karetnyj st, Moscow 101447, Russia, RU |
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Abstract: | We study depending on a parameter periodic systems with the main linear part and a hysteresis nonlinearity; the linearized at infinity system has a one-dimensional subspace of periodic solutions for the critical parameter value. We prove theorems on a number, localization, and asymptotic stability of large-amplitude periodic solutions for the nonlinear system. Received March 1998 |
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