Dissipativity of a nonresonant pendulum with ferromagnetic friction. (English. Russian original) Zbl 1126.34335
Autom. Remote Control 67, No. 2, 221-232 (2006); translation from Avtom. Telemekh. 2006, No. 2, 57-69 (2006).
Summary: The dissipativity of nonresonant pendulums with ferromagnetic friction is proved for sufficiently wide hysteresis loops, and a simple closed-form estimate is given. The absence of subharmonics of large amplitudes is proved for an arbitrarily narrow loop.
MSC:
| 34C55 | Hysteresis for ordinary differential equations |
| 47J40 | Equations with nonlinear hysteresis operators |
| 70K99 | Nonlinear dynamics in mechanics |
References:
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