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Asymptotic stability of large-amplitude oscillations in systems with hysteresis. (English) Zbl 0938.34036
The system under investigation is \[ dz/dt= A(t; \lambda)z+ f(t, n(t);\lambda),\quad z\in\mathbb{R}^N, \] where \(\lambda\) is a parameter, \(A(t,\lambda)\) is a square matrix of order \(N\), and \(n(t)\) is the defined output of a hysteresis nonlinearity. Several theorems on the number, localization and asymptotic stability of large-amplitude periodic solutions to the system are proved.
Reviewer: P.Smith (Keele)

MSC:
34C25 Periodic solutions to ordinary differential equations
34D20 Stability of solutions to ordinary differential equations
34C55 Hysteresis for ordinary differential equations
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