lyapunov index 中文意思是什麼
lyapunov index
解釋
李亞普諾夫指數-
Then r / s analysis, phase space reconstruction of the system, chaos analysis and fractals analysis are done through matlab program, based on original data of hushen stock markets compositive index from year 1991 to year 2002. and the author draws a conclusion based on original data that china ' s stock market obeys low - dimension fractals and ebb - chaos in terms of the experimentation result : hurst exponents are between 0 and 1, memory cycles are obvious, lyapunov exponents are more than zero and chaotic attractors correlative dimensions are between 2 and 3 in hushen stock markets in this thesis the concept information noises is put forward. stock market information about policy and company of the last ten years is packed up and classified for regulators make decisions in terms of power the factor influences the stock market index
之後文章以中國股市1991年至2002年上海和深圳綜合指數每日收盤價原始數據為研究對象，在matlab程序實驗條件下，進行了兩地股市系統的r / s分析、系統相空間重構、混沌分析、分形分析；獲取了兩地股市系統的赫斯特指數（滬深股市赫斯特指數均大於0 . 5而小於1 ） 、非周期記憶循環周期（滬深股市都有明顯的記憶循環周期） 、最大李雅普諾夫指數（兩市都大於0 ）和吸引子的關聯維數（兩市都在2到3維之間） ；從而得出中國股市系統是低維分形的、弱混沌的（基於原始數據）結論。 -
As a reliable statistical index to describe chaos lyapunov exponent is applied extensively. the definition and algorithm are discussed in this paper. only in the one - mass hamiltonian system lyapunov exponent equals to the eigenvalue
作為描述混沌的一種可靠的統計指標， lyapunov指數被廣泛應用於電力系統混沌的判斷，本文介紹了其定義及演算法，指出在一般情況下，該指數不同於系統jacobi矩陣的特徵根。 -
As an example, the time series of china composite stock index is considered firstly, the distribution of five day ' s return on china composite stock index is studied. secondly, based on the r / s analysis hurst exponent is worked out and determination detecting can be done. lastly, the topological characteristics such as correlation dimension and maximum lyapunov exponent are extracted from time series
作為例子，本文對中國股票指數時間序列做了實證分析，首先研究了中國股票指數的五天收益率的分佈規律，然後運用重標極差分析方法計算出赫斯特指數，並以此為基礎進行確定性檢驗，最後在相空間重構的基礎上提取吸引子的拓撲特徵指數。 -
The maximum lyapunov index is a common used method in the chaos time series forecast
最大lyapunov指數預測是混沌時間序列預測中一種常用方法。 -
In this paper, the learning algorithm arithmetic of the neural network is incorporated with the maximum lyapunov index
本文將最大lyapunov指數預測方法與神經網路權值優化相結合，論證了該演算法的具體實現過程。 -
Chapter two expounds chaos and fraction theory of capital market, respectively recommends the concept and characteristic of chaos and fraction theory, fractal market hypothesis, r / s analytic approach, hurst index ' s estimation and application etc. chapter three introduces methods to judge if one system have chaos and fractal phenomena, mainly use lyapunov index and fractal dimention to judge
第二章論述了資本市場的混沌與分形理論，分別介紹了混沌與分形的概念與特徵、分形市場假說、重標極差分析法（ r s分析法） 、赫斯特（ hurst ）指數的估計與應用等問題。 -
This paper uses systematic project for energy system according to jiangsu and ten province energy conditions in west. it applies nonlinear chaotic dynamics theory in energy system and builds the chaotic dynamics model of energy system : chaotic time series model. the largest lyapunov index energy time series has been calculated according to decimal quantity method
本文根據江蘇及西部十省能源狀況，利用系統工程的方法對能源系統進行研究，將非線性混沌動力學理論應用於能源系統中，建立能源系統的混沌動力學模型：混沌時間序列模型，採用小數據量方法來計算了能源時間序列的最大李雅普諾夫指數。 -
( 5 ) another is the long - term predict utilizing the biggest index number lyapunov in the chaotic time series and the whole space method during the steady period of the road foundation load, after the overload of the road foundation finished. meanwhile, contrasts with some mature settlement predict methods, estimating some important section in the engineering synthetically, making sure an ideal outcome of the predict warp, then unload the overload of road foundation and make it satisfy the design request
（ 5 ）路基超載完成後，在路基荷載穩定期間內，利用混沌時間序列中的最大lyapunov指數和全域法進行長期預測，同時與一些比較成熟的變形預測方法進行對比，對工程中一些重點斷面進行綜合評判，確定一個較理想的預測結果，從而對路基超載進行卸載，使其滿足工程設計要求。
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