period doubling bifurcation 中文意思是什麼

period doubling bifurcation 解釋
倍周期分岔
  • period : n 1 時代；期；時期；期間；階段。2 〈the period〉現代，當代。3 周期；【地質學；地理學】紀。4 終結...
  • doubling : n 1 加倍，成雙。2 重疊；對折。3 （逃避追趕時等的）折回，往回跑，迂迴，繞行，繞航。4 【化學】再蒸...
  • bifurcation : n. 1. 分枝，分叉。2. 分叉點，分枝點。
  1. The dynamics behaviors of the flexible jeffcott rotor system supported by unsteady short dynamic bearing are investigated. based on nonlinear unsteady - state dynamic n - oil film force model described by three functions the local stability of the periodic solutions with the controlling parameters, rotational speed ratio, imbalance amount, damping ratio and viscidity, are predicted by using the floquet multiplier. it is found that the period doubling bifurcation is caused by a certain imbalance amount and the hopf bifurcation is created by the lost stability of the oil - film

    研究了非穩態動載短軸承支撐的jeffcott柔性轉子系統的動力特性，基於可用三個函數表示動態油膜的非穩態非線性油膜力模型，將轉速比、不平衡量、阻尼比、粘度作為控制參數，利用floquet乘子預測周期解的局部穩定性，發現倍周期分叉是由一定量的不平衡引起的，而hopf分叉是由油膜失穩造成的。
  2. The numerical results from the phase portraits, the period - doubling bifurcation and the poincare sections show that external stochastic excitation always masks the regular motions of a deterministic system and plays a dissipative role to the motions of the system, which causes the chaotic motions of the system to arise easily, though the period - doubling bifurcation is delayed

    系統的相圖、倍周期分岔圖以及龐加萊映射圖等方面的數值結果表明，外加隨機激勵的作用往往掩蓋原確定性系統內在的規則運動，對原確定性系統的運動具有較典型的分散作用，可延緩系統的倍周期分岔，也可使得系統內在隨機行為提前發生，即可使得系統更容易出現混沌運動。
  3. The effects of stochastic excitation on the period - doubling bifurcation and chaotic motions of the softening duffing oscillator, are discussed in detail

    摘要討論了有界噪聲激勵對軟彈簧杜芬振子的倍周期分岔至混沌運動的影響。
  4. The author puts forward the thought of analyzing bifurcation and chaos in dc / dc converters with the theories of nonlinear dynamics, and the thought of controlling nonlinear problems with linear controlling methods of modern control theory. chapter three ( research on bifurcation and chaos in pwm dc / dc converters ) first theoretically analyzes and emulates period - doubling bifurcation of pwm dc / dc converters with the " inverse " piecewise numerical emulation. then the author analyzes in detail the sampled - data model, the mathematical model, which is suitable to the nonlinear research of dc / dc converters

    第三章（ pwm型dc dc變換器中分岔與混沌的研究）首先採用「逆向」分段數值模擬法對pwm型dc dc變換器中的倍周期分岔進行了理論分析與數值模擬；接著詳細地分析了適合於dc dc變換器非線性研究的數學模型一采樣數據模型，提出了dc dc變換器中存在環面分岔與鞍結分岔的可能性；最後通過電路實驗驗證了在電路參數發生變化時， dc dc變換器經歷一系列的倍周期分岔通向混沌的演化過程，並對混沌態下dc dc變換器的輸出特性進行了分析與小結。
  5. Control of period - doubling bifurcation and chaos in a discrete nonlinear system by the feedback of states and parameter adjustment

    狀態反饋和參數調整控制離散非線性系統的倍周期分岔和混沌
  6. The process from period doubling bifurcation to chaos suggests us to adjust the regulatory parameters in the system actively and scientifically, which will help the development of new system and lead the system ' s movement into the expected direction

    由倍周期分岔通向混沌的道路啟發人們主動地、科學地調節系統的控制參數，誘發新機制的形成，引導系統的運動朝著人們所期望的方向發展。
  7. In the proposed three types of chaos generator belonging to this chaos family, the period - doubling - bifurcation route to chaos is observed, and in the type - in chaos generator, the torus - breakdown route to chaos is also observed. it would be a firstly observed phenomenon that the period - doubling - bifurcation route to chaos and the torus - breakdown route to chaos coexist in a same system, and it is a rarely observed phenomenon that the route of torus - breakdown to chaos can be observed in a third - order ordinary differential system

    此平方混沌族中的三類模型都表現出了倍周期分岔到混沌的過程，而在第類結構中可以觀察到環面破裂和倍周期分岔兩種不同的通向混沌的途徑，在同一個系統中可以觀察到環面破裂和倍周期分岔兩種不同的通向混沌的途徑，相信是混沌生成研究方面的首次報道；在三階自治系統中可以觀察到環面破裂，這也是一個很少見的現象。
  8. In addition to the familiar period doubling bifurcation scenario leading to chaos, a quasiperiodic route to chaos is also observed which occurs through an initial hopf bifurcation. the current chaos control methods are compared, the stabilization of unstable periodic orbits of this chaotic system is achieved by continuous feedback control method, the specially designed external oscillator which used as target motion orbit in continuous feedback control method is obtained directly from ihb method

    對現有的混沌控制方法的優缺點進行了比較，利用混沌控制理論中的連續變量反饋控制方法，實現了系統混沌吸引子內部的不穩定周期軌道的穩定化，對齒輪傳動系統進行了有效的混沌控制，並對連續變量反饋方法的結果進行了分析，包括噪聲的影響和方法的改進。
  9. In the second part, we try to apply orthogonal polynomial approximations to the dynamical response problem of the duffing equation with random parameters under harmonic excitations. we first reduce the random duffing system into its non - linear deterministic equivalent one. then, using numerical method, we study the elementary non - linear phenomena in the system, such as saddle - node bifurcation, symmetry break bifurcation, phenomena in the system, such as saddle - node bifurcation, symmetry break bifurcation, period - doubling bifurcation and chaos

    本文第二部分嘗試將正交多項式逼近方法應用於隨機duffing系統，提出與之等價的確定性非線性系統的新概念，並用數值方法對該系統在諧和激勵下的鞍結分叉、對稱破裂分叉、倍周期分叉、和混沌等各種基本非線性響應進行了初步探討。
  10. Meanwhile, we analyze the procession of the route from the periodic motion to chaos motion of cable via period - doubling bifurcation. in chapter 5, the chaotic motion of cable is studied by utilizing melnikov method and simulates the chaotic motion digitally

    在第五章中，針對第四章得到的結論，用melnikov方法研究了斜拉索的混沌運動，並對斜拉索的混沌運動進行了數值模擬。
  11. The internal damping forces and the nonlinear elastic forces in the analytical form are deduced from the kelvin. voigt viscoelastic model. a smart method basing on the concept of period number is proposed for evaluating periodic solutions of the nonlinear system and determining the periodic. doubling bifurcation points

    （ 2 ）建立了一個4dof單跨彈性轉子在非線性油膜力、非線性內阻力和非線性彈性力作用下的非線性動力學模型，提出了求周期解的數值計算方法，以及計算周期解周期數及分岔點的演算法。
  12. 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
分享友人
分享到 Line

分享到臉書