原子与分子物理学报Issue(5):891-895,5.DOI:103969/j.issn.1000-0364.2015.10.029
能谱涨落统计特征分析在Logistic混沌序列上的应用
Spectral analysis approach to chaotic series
摘要
Abstract
Chaos is ubiquitous in real life. Identification of chaotic time series is the main content of nonlinear field. We map a time series to a 1-dimensional random lattice. By using random matrix theory, we find that the statistical characteristics of level spacing are consistent very well with the Lyapunov exponent behaviors. The re-sults show that the method has strong anti-noise ability and non-initial-state-sensitivity.关键词
混沌序列/随机矩阵理论/能级间距Key words
Chaotic time series/Random matrix theory/Nearest neighbor level spacing分类
自科综合引用本文复制引用
肖琴,杨会杰..能谱涨落统计特征分析在Logistic混沌序列上的应用[J].原子与分子物理学报,2015,(5):891-895,5.基金项目
上海市重点学科建设项目( XTKX2012) ( XTKX2012)
国家自然科学基金项目(10975099,10635040) (10975099,10635040)
上海市教委创新基金(13YZ072) (13YZ072)
上海高校特聘教授(东方学者)岗位计划 (东方学者)