$Stochastic stability of the harmonically and randomly excited Duffing oscillator with damping modeled by a fractional derivative$

Stochastic stability of the harmonically and randomly excited Duffing oscillator with damping modeled by a fractional derivative

The stochastic stability of the harmonically and randomly excited Duffing oscillator with damping modeled by a fractional derivative of Caputo＇s definition is analyzed.First,the system state is approximately described by It equations through the stochastic averaging method based on the generalized h...

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Veröffentlicht in:	Science China. Physics, mechanics & astronomy mechanics & astronomy, 2012-12, Vol.55 (12), p.2284-2289
Hauptverfasser:	Chen, LinCong, Lou, Qun, Li, ZhongShen, Zhu, WeiQiu
Format:	Artikel
Sprache:	eng
Schlagworte:	Astronomy Asymptotic properties Classical and Continuum Physics Damping Duffing oscillators Duffing振子 Harmonic functions Liapunov exponents Observations and Techniques Physics Physics and Astronomy Probability theory Random excitation Stability 兴奋分数阶导数最大Lyapunov指数谐波阻尼随机平均法随机稳定性
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