threshold

Considering the shortcomings of the existing Duffing oscillator based signal detection and estimation method in determining the critical threshold of the oscillator and locating the critical bifurcation point of Floquet exponent curve,in this paper,Lyapunov exponent curve of Duffing oscillator is studied over a larger range.

针对现有基于Duffing振子的信号检测与估计方法在确定振子相变临界阈值和Floquet指数曲线的临界分岔处位置两方面所存在的问题,本文在更大范围上对Duffing振子的Lyapunov指数曲线进行了研究,提出了振子相变临界阈值的改进判定方法和利用Lyapunov指数曲线来获得Floquet指数曲线临界分岔处的方法。

First,the spread of the disease using the mean field theory is analysed and a theoretical critical threshold is solved.

首先利用平均场理论对疾病的传播行为进行了理论分析,得到了疾病传播的临界阈值,证明了疾病的爆发与消亡完全由临界阈值确定。