bifurcation theory 中文意思是什麼

bifurcation theory 解釋
分叉理論
  • bifurcation : n. 1. 分枝，分叉。2. 分叉點，分枝點。
  • theory : n. 1. 理論，學理，原理。2. 學說，論說 （opp. hypothesis）。3. 推測，揣度。4. 〈口語〉見解，意見。
  1. Chapter nine, ten and eleven develop the discrete methods to price exotic options, in which chapter nine prices exotic options using the shooting target gird method, chapter ten prices the options using improved shooting target gird method when the underlying asset obeys cev process, and chapter eleven prices the double lookback options using five - bifurcation tree method. in the last chapter, application of option pricing theory is studied in executive stock option plan

    第九、十、十一章研究的是用離散方法對變異期權進行定價，其中，第九章是用打靶格法對一列變異期權進行定價；第十章，用改進的打靶格法對標的資產的價格服從cev過程的變異期權進行定價；第十一章用五叉樹模型對雙回望期權進行定價。
  2. After reduction, the effective numerical method is adopted to explore the response and stability information of the system, and the state of motion and type of the bifurcation are analyzed by floquet theory

    降維之後，採用有效的數值計算方法分析系統的動響應和穩定性，利用floquet理論分析其運動狀態和分岔類型。
  3. Methods using the decoupling and global bifurcation theory

    方法解耦和全局分歧理論等。
  4. Moreover, with the method of emerging hopf bifurcation of the system, the analytic conditions that the low - dimension continuous autonomous chaotic systems controlled by the project are given in theory. applying the conclusions we got to the practical systems, the method is shown by the theoretical description and numerical calculation that it is effective

    其次，從實際應用出發，提出了一種增強型的延遲變量反饋控制方案，同樣利用分析延遲系統產生hopf分支條件的方法，也給出了當用這種方案控制低維連續自治混沌系統時，在達到控制目標的條件下，控制參數間的一般解析關系。
  5. Based on the complex nonlinear system theory and contraposing the nonlinear time - dependent characteristic of complex economic system, this dissertation researches the structure, stability, equilibrium trajectory bifurcation and trajectory catastrophe phenomenon of evolution, the characteristics of the equilibrium catastrophe trajectory which is caused by parameters

    以復雜非線性系統的理論為基礎，圍繞復雜經濟系統的非線性時變特點，對非線性時變系統的結構、穩定性、演化過程中平衡軌道分岔現象和參數引起的軌跡突變現象進行了理論研究，研究了突變軌跡的相關性質。
  6. By using the bifurcation theory of planar dynamical systems and the method of detection functions, this paper gives a configuration of limit cycles forming compound eyes. with the help of numerical analysis ( using maple ), it is shown that there exist parameter groups such that a polynomial vector field of degree 7 has at least 49 limit cycles with z8 - symmetry

    然後，利用平面動力系統的分支理論以及判定函數法，考慮z _ 8 -等變的擾動hamilton向量場，在計算機數學軟體（ maple ）的幫助下，我們得到結論： 8次平面向量場至少有49個極限環，形成具有z _ 8 -對稱性的極限環分佈。
  7. On the other hand, this flow is a typical non - linear model and there exists complicated secondary flow on the cross - section, also, a bifurcation will appear on some conditions. this study is signality in theory and has a broad application future

    另一方面，旋轉曲線管道系統是流體力學非線性的典型模型，在截面上存在形態復雜的二次流動，在某些條件下出現分叉解，深入研究旋轉管道流動，具有重要的理論意義。
  8. In the first chapter, through the discussion of the fifth - order binary forms and the use of qualitative theory and bifurcation methods, we obtain the theorem of infinite critical point and the theorem of finite critical point

    第一章通過討論二元五次多項式根的重數，並結合定性理論及分支方法，得到系統無窮遠奇點的結構定理，有限遠奇點的結構定理。
  9. The paper studied controlling rotor vibration with the super - elasticity of sma and sfd, set up the new equation of sys tern vibration according to the stress - strain curve of sma in super - elasticity state, used the nonlinear theory and the dynamic stability theory to study the vibration of rotor controlled by sma, discussed the stability condition of the system, obtained the relationship of system parameters when bifurcation was appeared, supposed a method that improves the stability of rotor system and restrains vibration amplitude though changing parameters, and finally validated the effect of restraining vibration of the improved system through emulation

    摘要研究利用形狀記憶合金的超彈性和擠壓油膜阻尼器控制轉子振動，利用形狀記憶合金在超彈性狀態下的應力應變曲線，建立了新的系統振動方程，運用非線性理論和運動穩定性理論研究轉子在形狀記憶合金控制下的振動狀態，討論了系統的穩定性條件，獲得系統發生分岔時系統參數之間的關系；並提出了通過改變參數來提高系統穩定性和抑制振幅的方法，最後通過模擬驗證了改進后的系統振動抑制效果。
  10. The way to eliminate chaos phenomenon through adjusting system parameters is indicated. the nonlinear dynamic behavior of journal bearing - rotor system in large parameter space is studied in numerical integral method and floquet theory and the first and second bifurcation behavior of nonlinear rotor system are discussed ; the concept is advanced that realizing the controllable nonlinear stiffness with sfd with the soft - nonlinear of sma in the super - elasticity state to make the vibration amplitude of system always be in the small solution state to reduce the vibration amplitude of rotor system

    運用數值積分方法結合floquet理論對滑動軸承-轉子系統的大參數范圍非線性動力學特性進行了全面的研究，詳細地討論了系統的一次和二次分岔行為； 5 ）提出了用形狀記憶合金在超彈性狀態下的軟非線性，結合擠壓油膜阻尼器實現系統剛性的非線性可控，降低系統在非定常狀態下的最大振幅的構想。
  11. Chapter 2 deals with the fundamental theory and methods of bifurcation. the conditions giving rise to the static bifurcation are derived at first, then, the improved ls reduction method is studied and the centre manifold method is simplified

    第二章研究分岔的基本理論和方法，推導了一般一維非線性微分動力系統發生鞍?結分岔、叉式分岔和跨臨界分岔等基本靜態分岔的條件，改進和簡化了高維非線性微分動力系統的降維方法。
  12. The main research work involves : ( 1 ) based on first order ode ( ordinary differential equation ) approximation theory and hopf bifurcation theory, the nonlinear motion stability of the train is studied emphatically

    本文所做的主要工作有： （ 1 ）基於常微分方程的一次近似理論和hopf分叉理論，重點研究了列車（車輛）系統的非線性運動穩定性。
  13. By virtue of the stochastic bifurcation theory, the transition of the atom movement at a crack tip in fatigue damage system is investigated. using the singular point theory of one - dimensional diffusion process and the stochastic averaging approach of energy envelope, a micro - model to describe the atom movement at the crack tip in homoclinic bifurcation fatigue damage system, which is in the presence of stochastic perturbation, is established. after the study on the characteristic of the diffusion exponent, the drift exponent and the character exponent of the fatigue damage diffusion process on singular boundary, the bifurcation behavior of a homoclinic bifurcation fatigue damage system, which is in the presence of parametric white noise, is examined

    採用隨機分叉理論，探討疲勞損傷系統裂尖粒子運動性質突變.利用一維擴散過程的奇點理論，並結合能量包絡的隨機平均法，建立了隨機擾動的疲勞損傷同宿分叉系統裂尖粒子運動模型，通過研究奇異邊界的擴散指數、漂移指數以及特徵指數特性，考查疲勞損傷裂尖粒子運動的同宿分叉系統受參激白噪聲影響的分叉行為
  14. For the ratio - dependent predator - prey, the limit cycle is obtained by the bifurcation theory

    對于功能性反應為比率依賴型的捕食者-食餌模型，通過分支理論得到了極限環的存在性。
  15. Conditions for the stability of system are obtained. the limit cycle is obtained by the bifurcation theory

    我們得到了系統穩定性的條件，並通過分支理論得到了極限環的存在性。
  16. For example, a c - bifurcation phenomenon is observed in this dissertation, while at present, there is no such c - bifurcation theory to describe and predict the c - bifurcation phenomenon

    例如本文中研究的zeta變換器，在其中觀察到的一種c -分叉現象，目前的c -分叉理論還沒有相應的描述和預測。
  17. These theories include basic notions of chaos and bifurcation theory in nonlinear dynamics theory, basic notions of dynamic system of modern control theory and stability theory

    其中包括非線性動力學理論中混沌的基本概念和分岔理論，現代控制理論中動力系統的基本概念和李亞普諾夫意義下的穩定性理論。
  18. In the fourth part, by using the bifurcation theory of planar dynamical systems and the method of detection functions, the paper gives a configuration of limit cycles forming compound eyes. with the help of numerical analysis ( usi ng maple ), it is shown that there exist parameter groups such that a z7 - equivariant planar polynomial vector field of degree 7 has at least 36 limit cycles with z7 - symmetry

    然後，對於一組特定的參數值，研究了它的相軌線的變化趨勢；第四部分指出：在一定的條件下，利用平面動力系統分支理論以及判定函數法，在計算機數學軟體（ maple ）的幫助下，得到結論： 7次z _ 7 -等變平面向量場至少有36個極限環，形成具有z _ 7 ?對稱性的極限環分佈。
  19. Bifurcation of solitary waves and kink waves for generalise pochhammer - chree equation are studied, by using the bifurcation theory of planar dynamical systems. bifurcation parameter sets are shown. numbers of solitary waves and kink waves are given. under various parameter conditions, all expicit formulars of solitary wave solutions and kink wave solutions are obtained

    本文用平面動力系統分支理論研究了廣義pochhammer - chree方程的孤波與扭波解的分支，給出了方程在參數空間中所有分支集，以及孤波解與扭波解的個數，並給出了各種參數條件下的所有孤波與扭波解的精確公式。
  20. We, in chapter 4, comprehensively discuss the dynamics of discrete chaotic neural networks, including f the existence of fixed points, the stable, unstable dynamics of the fixed point, the saddle - node and period doubling bifurcations in singie neuron model, and chaotic dynamics of the networks. the proofs and de - ductions involve schauder fixed point principle, constructions of lyapunov func - tions, bifurcation theory, contraction map principle, and anti - integrable limit method

    在本文的第四章中，我們首先介紹了離散混飩神經元、神經網路模型由來與具體的數學模型，依次給出了該離散神經網路的中不動點存在性與惟一性的分析：穩定性與不穩定性的分析；神經元模型的分枝分析；神經網路中馬羅陀意義下混3屯動力學的分析
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