在分析常用的計算最大Lyapunov指數(shù)小數(shù)據(jù)量法的基礎(chǔ)上，研究了混沌吸引子時間軌道的不可逆特性，提出基于后向搜索和雙向搜索計算最大Lyapunov指數(shù)的推廣小數(shù)據(jù)量法通用經(jīng)驗公式。數(shù)值仿真表明，新方法比原來僅做前向搜索的小數(shù)據(jù)量法在計算準確度和抗噪聲性能上更加優(yōu)越。
關(guān) 鍵 詞 小數(shù)據(jù)量法; 推廣算法; 最大Lyapunov指數(shù); 混沌

Abstract After analyzing recently common methods of calculating the largest Lyapunov exponent from small data sets, the irreversible property of time trajectories is studied and extended method for calculating the largest Lyapunov exponent of chaotic system is proposed based on backward or bi-direction search phase point. The computer simulation shows some valuable conclusions that the novel method is more anti-noise and precise that the old ones.
Key words small data sets; extended method; largest Lyapunov exponent; chaos