CAJ | 학술논문

混沌现象普遍存在于现实生活中，混沌时间序列的分析是非线性系统研究的主要内容。基于An-derson模型，提出了一种新的混沌序列的分析方法。通过对Logistic序列的分析，使用能谱涨落分析方法，发现能级斥力的大小能与最大Lyapunov指数相对应。结果表明，该方法能较好的预测混沌序列，而且具有较强的抗噪声的能力，不受初值敏感性的影响。
혼돈현상보편존재우현실생활중，혼돈시간서렬적분석시비선성계통연구적주요내용。기우An-derson모형，제출료일충신적혼돈서렬적분석방법。통과대Logistic서렬적분석，사용능보창락분석방법，발현능급척력적대소능여최대Lyapunov지수상대응。결과표명，해방법능교호적예측혼돈서렬，이차구유교강적항조성적능력，불수초치민감성적영향。
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.