摘要
通过计算非理想气泡振动模型的Lyapunov指数谱,绘出气泡振动模型的关联维与嵌入维关系图,得到气泡振动的关联维数,验证了非理想气泡振动的混沌特性。在此基础上,计算了气泡振动由倍周期分叉通向混沌过程中所对应的模糊函数,并绘制相应的模糊函数图形。结果表明,混沌响应信号作为主动探测信号将具有较强的分辨力,该结论为水下目标混沌信号检测奠定了理论基础。
The Lyapunov exponent spectrum of non-ideal bubble vibration model is computed,and the correlation dimension is given by graph of embedding dimension and correlation dimension,which is plotted by computation method of time series correlation dimension.These results verify further the chaos characteristic of non-ideal bubble vibration.Subsequently,ambiguity functions and corresponding diagrams during the course of period doubling bifurcation are presented respectively.The results show that the chaotic signals in non-ideal bubble oscillation as positive detection signals will have higher range and velocity resolution,thus found the theoretical basis of chaotic signal detection on underwater targets.
出处
《舰船科学技术》
2010年第9期91-94,共4页
Ship Science and Technology
基金
国家自然科学基金项目(60974136)
关键词
气泡
混沌
LYAPUNOV指数
关联维
模糊函数
bubble
chaos
the exponent of Lyapunov
correlation dimension
ambiguity functions
