穩定極限周期 的英文怎麼說

中文拼音 [wěndìngjíxiànzhōuqī]
穩定極限周期 英文
stable limit cycle
  • 穩 : 形容詞1 （穩定; 穩當） steady; stable; firm 2 （穩重） steady; staid; sedate 3 （穩妥） sure; rel...
  • 定 : Ⅰ形容詞1 （平靜; 穩定） calm; stable 2 （已經確定的; 不改變的） fixed; settled; established Ⅱ動詞...
  • 極 : i 名詞1 （頂點; 盡頭） the utmost point; extreme 2 （地球的南北兩端; 磁體的兩端; 電源或電器上電流...
  • 限 : Ⅰ名詞（指定的范圍; 限度） limit; bounds Ⅱ動詞（指定范圍, 不許超過） set a limit; limit; restrict
  • 周 : Ⅰ名詞1 （圈子; 周圍） circumference; periphery; circuit 2 （星期） week 3 [電學] （周波的簡稱） c...
  • 期 : 期名詞[書面語]1. （一周年） a full year; anniversary 2. （一整月） a full month
  • 穩定 : 1 （使穩定） stabilize; steady 2 （穩固安定） stable; steady 3 （物質的性能不易改變的作用） stabi...
  • 極限 : 1 （最高的限度） the limit; the maximum; the ultimate limit; limitation; extremity; tipping point...
  1. In the second section of chapter 2, the fact that the essential interest rates of all nodes differ from each other is discussed, a non - homogeneous differential equation model of interest rate - amount of circulating fund is established, and it is proved that the sum of the weighted interest rates of each node in the financial network still remains a constant and that the difference of the instant interest rates between two nodes will finally approach the difference between their basic interest rates. in the third section of chapter 2, the differential equation model of interest rate - amount of circulating fund in an open system is studied, the laws of changes of interest rate are taken into account when fund is injected into or withdrawn from the node or when fund is injected into the network or withdrawn from the network, and the stability of equilibrium solution is proved based upon lyapunov stability theory. in the last, the equation model of interest rate - amount of circulating fund in the financial network with time delay is studied, and a necessary and sufficient condition for the existence of periodic solution is obtained to the interest rate - amount of circulating fund equation with delay

    本文第二章首先建立了封閉系統的利率?流通量微分方程模型，證明了各結點利率加權和為常數即金融市場利率均衡原理，以及各結點利率極限為整個網路平均利率；其次在各結點基本利率不相同的情況下，建立了非齊次利率?流通量微分方程模型，證明了金融網路各結點利率加權和仍是一個常數，並證明了各結點兩兩之間的即時利率之差最終將穩定地趨于其基本利率差；此外，還研究了開放金融網路利率?流通量方程模型，考慮了結點自身追加資金和提走資金的情形以及網路外部注入資金和向外部轉移資金情形下的利率變化規律，用lyapunov穩定性理論證明了模型均衡解的穩定性；最後，還研究了具有時滯的金融網路利率?流通量方程模型，並給出了具有時滯金融網路的利率流通量方程具有周期解的充要條件。
  2. The radiation field evolves from a steady saturation state to a limit cycle oscillation state, and eventually to chaotic oscillation state as the current increases, the region in which the field exhibits limit cycle or chaotic oscillation is called the " soft " and " hard " nonlinear regime, respectively : ( 1 ) in the " soft " nonlinear regime, the radiation field is characterized by period doubled bifurcation and the discrete power spectrum

    隨著電流的增大，輻射場經歷由穩定飽和到極限環型的周期振蕩，並最終過渡到非周期性混沌振蕩的演化過程，按其狀態可分為「軟」和「硬」兩種非線性區域： （ 1 ）在「軟」非線性區域，場的極限環振蕩態和穩定飽和態是交替出現的，其特徵是典型的倍周期分岔，輸出功率譜是分立的。
  3. Because of " fixed point attractor ", " limit cycle attractor ", " tons attractor " and " strange attractor " dominating the dynamics system, present - day crustal movement presents the various dynamics states such as " stable state ( dynamic balancing state ) ", " period state ", " quasi - period state ", " chaos state " and " edge of chaos "

    在」不動點吸引子」 、 「極限環吸引子」 、 「環面吸引子」和「奇異吸引子」的作用下，現今地殼運動呈現出「穩定態（動平衡態） 」 、 「周期態」 、 「擬周期態」 、 「混沌態」和「混沌邊緣態」等多種動力學狀態。
  4. The method of multiple scales is used to determine the equations of modulation of amplitude and phase. the steady state response can be obtained by solving a couple of algebraic equations, which have been achieved by careful deduction under some conditions. and because of the complexity of the equations, programs are necessary to solve the equations mentioned above, and certain graphs are presented. based on chapter two, in chapter three, the method of multiple scales is introduced to the study of the multiple - dimensional nonlinear stochastic systems under random external excitation

    在第二章基礎上，第三章將多尺度法引入到相應的隨機系統的研究中；嚴格推導了系統的約簡方程，用矩方法求出穩態解應滿足的方程，獲得一些結果；並且數值模擬結果與理論推導的結果是一致的；並注意到，與其對應的確定性系統相比較，系統響應從周期解變為近似周期解，系統的相軌線從極限環變為擴大的近似極限環；隨著激勵帶寬的增大，此擴大的近似極限環的寬度將增大。
  5. The judgement formula for high and low speed landslide and a new theory of stiffness - effect instability are presented for the instability of planar - sliding slope by the catastrophe theory. it is pointed out that the limit equilibrium stability analysis method of rigidity body has a lot of defects. the relationship between the action of outside environment and the response of slope system is complicatedly nonlinear according to the nonlinear dynamics model of slope evolution built

    針對斜坡平面滑動失穩問題，運用突變理論方法，給出了快速滑坡和慢速滑坡發生的判據，驗證了剛體極限平衡穩定性評價方法有較大缺陷；根據斜坡演化非線性動力學模型，發現斜坡演化過程會出現混沌現象，其通向混沌之路是通過倍周期分叉實現的。
  6. Then the behavior of the free joint when we bring the periodic perturbation through controlling the actuated joint is analysed, we can find in the result that the behavior of the free joint in the phase plane follows an ordered closed trajectory with the center equilibrium point + 2 in the case where the amplitude of the input is small, we can define a weakening factor to make the position of the free joint reach the center equilibrium point + 2

    通過相平面分析的方法分析了當驅動臂施加周期擾動對非驅動臂運動的影響，其結論為通過調整驅動臂周期擾動的幅度及極性，可以使非驅動臂沿著圍繞平衡點2的極限環軌跡運動。在此基礎上，提出衰減因子的概念，通過衰減因子調整驅動臂擾動的幅度和周期，使非驅動臂能夠穩定在平衡點2 。
  7. The results show that, when and 02 are in various intervals, the trajectories for systems ( i ) are either ultimately periodic or convergent to an equilibrium. the difference between system ( i ) and system ( ii ) only lies on the sign of self - feedback coefficient, but their asymptotic behavior of trajectories are much different. for the given initial value, the solutions for system ( ii ) all converge to the certain equilibrium

    結果表明：當_ 1和_ 2在不同的取值范圍內，系統（ ）的解或收斂到某一平衡點，或無限逼近於某個周期解，且部分_ 1 ， _ 2下的極限環全局穩定；系統（ ）與系統（ ）的區別僅在於自反饋系數的符號為負，但由此其解軌線的極限性態發生了很大的變化，對于確定的初值，系統（ ）的解均收斂到確定的平衡點。
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