倍周期分岔 的英文怎麼說

中文拼音 [bèizhōuqīfēnchà]
倍周期分岔 英文
period doubling bifurcation
  • 倍 : Ⅰ名詞（跟原數相同的量） times Ⅱ形容詞（加倍） double; twice as much
  • 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
  • 分 : 分Ⅰ名詞1. （成分） component 2. （職責和權利的限度） what is within one's duty or rights Ⅱ同 「份」Ⅲ動詞[書面語] （料想） judge
  • 岔 : Ⅰ名詞1 （山脈、道路分歧的地方） fork 2 （道路由主幹分出來的） a forked road3 （事故; 錯誤） accid...
  1. 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。
  2. These research also approve some inherent phenomena in nonlinear systems such as the interleaving of stability region and instability region, the parameter sensibility of the instable modes, divergence after a relatively long time of chaotic swings ( transient chaos ), a cascade of period double bifurcations to chaos and etc. these phenomena are of great importance to both theoretical research and engineering practice

    研究還證實了一些非線性系統所特有的現象，如穩定域和不穩定域的相互交錯現象，失穩模式對參數的敏感性，一段時間混沌振蕩后的無界現象（稱為預無界混池） ，由周期運動經一連串倍周期分岔直至混濁等。這些現象對理論研究與工程實踐都具有重要意義。
  3. 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。
  4. 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。
  5. 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。
  6. Investigation to the periodic motions and period - doubling bifurcations of a moored ocean platform with cell - to - cell mapping method

    系泊海洋平臺周期運動倍周期分岔的胞映射分析
  7. 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
  8. 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。
  9. The results show that there exists such nonlinear dynamical phenomena as chaos ang quasi - period movement when the rotational speed, mass eccentric and a synthesizing parameter of the system change. from different point of view, the chaotical phenomenen induced by double period bifurcation is found. in this paper, the dynamical model of bearing - elastical rotor with a cross - section of crack is estabilished

    結果表明，在這一非穩態油膜力模型下，在轉速、無量綱偏心及一包含諸多因素的綜合參數的變化過程中，在很大的范圍內，系統運動都會出現由不斷倍周期分岔導致的混沌現象和概周期運動。
  10. 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。
  11. It is constructed that radial impact and rubbing dynamics differential equations of the rotor system having the nonlinear rigidity on the unsteady and non - linear oil film. the bifurcation and chaos behavior of impact and rubbing fault rotor system caused by the parameters of nonlinear rigidity, rotor rotating speed, eccentric mass is analyzed, in the numerical value analysis method. the bifurcation diagrams, maximum lyapunov exponent diagrams, poincar maps, phase plane portraits, trajectories of journal center, time - history curve, amplitude spectra diagrams of the rotor motion are used

    （ 2 ）建立了具有非線性剛度的轉子系統在非穩態非線性油膜力作用下的徑向碰摩動力學微分方程，並應用含高階余項的非線性動力方程的線性化數值法研究了此類系統響應的復雜動力學行為，利用轉子響應的分岔圖、最大lyapunov指數曲線、 poincar截面映射、時域波形、相軌線、軸心軌跡、幅值譜等圖形分析了系統響應的周期運動、擬周期運動、倍周期分岔、混沌等運動形式的轉化與演變過程，重點研究了非線性剛度、轉子轉速、偏心質量等系統參數對碰摩故障轉子系統的分岔和混沌行為的影響。
  12. It is showed by the results that, the rotor has different dynamics with respect to present results obtained by other researchers while the rotor is subjected to internal damping, nonlinear oil film forces and nonlinear elastic forces simultaneously. with increase of the rotary speed the rotor, quasi. periodic movement caused by internal damping will occur

    發現當轉子通過油膜失穩進入倍周期運動時，由於非線性內阻力作用，還會發生概周期分岔形式的二次分岔，產生約1 / 6倍工頻的低頻運動。
分享友人
分享到 Line

分享到臉書