Nonlinear dynamics of oscillators with bilinear hysteresis and sinusoidal excitation. (English) Zbl 1177.37052
The authors investigate the transient and steady-state response of an oscillator with hysteretic restoring force and sinusoidal excitation. Hysteresis is modeled by using the bilinear model of Caughey with a hybrid system formulation. Stability and bifurcations of periodic orbits are studied using Poincaré maps. Results are compared with asymptotic expansions obtained by Caughey.
Reviewer: Valery A. Gaiko (Minsk)
MSC:
| 37G15 | Bifurcations of limit cycles and periodic orbits in dynamical systems |
| 34C23 | Bifurcation theory for ordinary differential equations |
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