摘要
在Rossler系统加入周期策动力信号形成变形Rossler系统,利用Poincare截面,Lyapunov指数、分形性,证明了变形Rossler系统具有混沌系统的特性;采用Wolf方法计算最大Lyapunov指数,用于定量地判定Rossler混沌系统检测状态;通过SIMULINK仿真检测微弱信号的幅值,检测最低信噪比为-57dB,并且对一定功率高斯白噪声具有免疫性;变形Rossler混沌系统比Rossler和Duffing系统在检测门限更低,检测精度更高。
The paper studied a Deformation Rossler System, which is added a cycle power signal to the Rossler system. The Deformation Rossler System is proved to be a chaotic system by its Poincare mapping, the maximum Lyapunov exponent, and fractal analysis. By adopting Wolf method to calculate the Maximum Lyapunov exponent and its Usage for quantitatively judge states of the Rossler chaos detection sys- tem. The ruslut of the SIMULINK simulation proved that the minimum SNR of the Deformable Rossler system can be lower to --57dB and immune to a certain power of gaussian white noise. With the simulation contract of the weak signal detection, it is showed that the threshold detection precision is higher in the Deformable Rossler chaotic system than those in Rossler and Dulling system.
出处
《计算机测量与控制》
北大核心
2014年第2期339-341,共3页
Computer Measurement &Control
基金
国家自然科学基金青年基金(51105292)
作者简介
赵力（1987-），男，硕士，主要从事机械故障诊断与分析的研究。
史丽晨（1972-），女，教授，主要从事机械故障诊断与分析的研究。
