liapunov 中文意思是什麼

liapunov 解釋
李雅普諾夫
  1. On the basis of microcosmic and qualitative analysis of stimulation - reaction process and assembled human - car unit in car - following fleet, the inscrutability, inseparability and regularity that were necessary conditions of coming into being chaotic behavior were discussed. then, the two mathematic simulation experimentations with speed disturbance were designed, and liapunov exponents of car - following fleet were calculated

    並據此制定了詳盡的數據採集方案，採集了大量真實反映我國城市快速道路交通條件特性的車輛跟馳數據，經過數據的有效性檢驗，為真實反映我國城市快速道路交通條件特性的車輛跟馳模型的研究提供堅實的數據支持。
  2. In the proof, by the subsystem which makes the discussion more convenient, we get more brief sufficient conditions. we also use the comparison theorem, liapunov functional method and razumikhin function method

    在以上的證明中，考慮了系統的獨立子系統，使問題更加簡單，條件更加簡捷，並且使用了比較原理、 liapunov泛函方法、 razumikhin函數法。
  3. We introduce liapunov - schmidt reduction method to investigate the bifurcation of a class of nonlinear reaction - diffusion equations in developmental biology. near the bifurcation point we obtain nontrivial solutions branch emitted from the trivial solution

    首先，我們引入liapunov - schmidt約化方法，應用到該方程得到該非線性微分方程在分歧點附近分歧方程的解析近似表達式及其非平凡解的漸進表達式。
  4. Checking the stability of the null solution by second liapunov method

    第二方法判斷零解的穩定性
  5. Criteria for the nonlinear dynamic stability of rotative vehicles are derived by the liapunov ' s first method and the routh - hurwitz stability criterion, this criteria can be applied to the dynamic stability analysis of controlled rotative missiles, projectiles and rockets

    應用李亞普諾夫第一近似理論和勞斯霍爾維茨方法導出了旋轉飛行器的非線性運動穩定性判據，這個判據可應用於有控旋轉導彈的運動穩定性分析，也可應用到炮彈和火箭彈上。
  6. Conditions for permanence is established via the method of comparison involving multiple liapunov functions

    進而，利用李雅普諾夫函數和比較定理確定了持續生存的條件。
  7. Second by using liapunov direct method, two different sufficient global exponential stability conditions are obtained on condition that activation functions are lipschitz continuous

    第二種是採用李雅普諾夫直接方法，在激勵函數的lipschitz連續假設下，得到了兩個全局指數穩定的充分性判據。
  8. The variation trajectory of liapunov exponents of car - following fleet and the variation orderliness of average speed, average headway and average space on steady condition were discussed

    文章從分析城市快速道路跟車行為入手，利用李雅普諾夫特徵指數，定性與定量相結合，討論了跟馳車隊中的混沌特性。
  9. In chapter 3, we use the tool of chapter 2. and initiate systematic study the stability of solutions of simple volterra equations, and give succinct conditions. in chapter 4, by means of constructing a kind of liapunov functional, we obtain h uniform stability of the solutions of a scalar volterra equation with infinite delay

    第三章應用第二章類似的工具系統地討論了一類簡單的volterra方程的穩定性，給出這類方程幾種穩定性的具體的簡潔的判別條件。第四章利用一類liapunov泛函，建立一類純量volterra方程解的h -一致穩定性。
  10. Furthermore, according to the method of liapunov functions in the stability theory, both the globally asymptotic stability and the attractive regions of the nonnegative equilibrium in the model are discussed

    同時，對系統解的吸引域以及平衡態的全局穩定性，採用李雅普諾夫函數法進行完整的討論。
  11. In the fourth part, we structure liapunov function to discuss the following three species predator - pery system. we obtain existence, uniqueness and global asymptotic stability of almost periodic solution

    在第四部分運用構造lyapunov函數的方法討論了如下三種群食餌系統的概周期解的存在唯一性和全局漸近穩定性。
  12. The sufficient conditions ensuring existence and globally exponential stability of periodic solutions for neural networks with delays are obtained by using coincide degree, m - matrix theory and liapunov function method

    摘要運用重合度理論、 m -矩陣理論及李雅普諾夫方法，獲得了帶時滯神經網路周期解存在性和全局指數穩定性的充分條件。
  13. 3. we construct liapunov functions with separable variables and prove results on global stability with respect to partial variables for nonlinear and non - autonomous systems with separable variables

    三、利用分離變量的liapunov函數，研究了非線性非自治分離變量系統關于部分變元的全局穩定性，將一般自治系統的相應結果推廣到非自治系統。
  14. 2. using techniques of liapunov functions and inner products, we extend the approach and the results in part i and give criterion on the stability, asymptotic stability and exponential stability with respect to partial variables for time - varying nonlinear systems

    二、仍然使用上述方法再加上liapunov函數及內積等技巧，研究了非線性時變系統對部分變元的穩定性、漸近穩定性、指數穩定性，推廣了第一部分結果。
  15. Liapunov ' s theorem of stability

    李亞普諾夫穩定性定理
  16. Liapunov ' s second method

    李亞普諾夫第二方法
  17. In the second chapter, the permanence for an autonomous delay competition model of lotka - volterra type is considered by means of liapunov functionals

    在第二章，利用李雅普諾夫函數研究了離散時滯lotka - volterra競爭系統的持久性。
  18. Lastly, distributed time delays, with adopter rejection, are introduced to the model for three products. liapunov functional is constructed to find the sufficient condition of the positive equilibrium

    最後，我們在模型中對使用者離開使用類的速率引進分佈時滯，通過構造liapunov泛函，得出正平衡點全局穩定的充分條件。
  19. The results extend those of autonomous systems to case for no autonomous systems. 4. the stability and the existence of periodic solutions for ecological systems of reaction - diffusion type are discussed by using of smoller invariant domains principle liapunov functional method comparison principle and fixed point theorem

    四、研究了用偏微分? ?積分方程描述的生態系統平衡位置的穩定性、漸近穩定性及周期解的存在性、穩定性，採用smoller不變區域原理、比較原理，不動點原理及liapunov泛函方法。
  20. This paper mainly discusses the periodic solutions of some integral and differential equations with infinite delay. the studies of the existence and uniqueness of the periodic solutions and the stabilities of these equations have attracted great concern in recent years and many good results have been obtained. this paper has further extended these conclusions on the foundations of them, and obtained some new results with the method of exponential dichotomy, fixed point theorem and liapunov functional respectively

    本文主要討論具有無窮時滯積分微分方程的周期解。對于這類方程周期解的存在唯一性和穩定性的研究近年來已經引起人們極大的關注，也得到了若干很好的結果。本文主要是在這些結果的基礎上將已有結論做了進一步的推廣，分別用指數型二分性，不動點定理， liapunov泛函的方法得到一些新的結論。
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