本頁只刊出中文翻譯與中文說明；英文原文請見下方原文連結。
原文連結
論文資訊
- 類型：已發表論文
- 日期：2011
摘要
We analytically link three properties of 非線性 dynamical systems, namely sensitivity to initial conditions, 熵 production, and escape rate, in z-logistic maps for both positive and zero 李雅普諾夫 exponents. We unify these relations at 混沌, where the 李雅普諾夫 exponent is positive, and at its onset, where it vanishes. Our result unifies, in particular, two already known cases, namely (i) the standard 熵 rate in the presence of escape, valid for exponential functionality rates with strong 混沌, and (ii) the Pesin-like identity with no escape, valid for the power-law behavior present at points such as the Feigenbaum one.
※ 此為已發表論文，全文需透過期刊付費取得