saddle-node bifurcation 中文意思是什麼

saddle-node bifurcation 解釋
鞍結分岔
  • saddle : n 1 馬鞍；（腳踏車（自行車）等的）鞍。2 （羊等的）帶肋[脊]骨的肉。3 鞍形架，鞍狀物。4 【地質學；...
  • node : n 1 節；結；瘤；【蟲類】結脈。2 【植物；植物學】莖節；【醫學】硬結腫；結，節結；【天文學】交點。3...
  • bifurcation : n. 1. 分枝，分叉。2. 分叉點，分枝點。
  1. The bifurcation analysis of the model depending on all parameter indication that it exhibits numerous kinds of bifurcation phenomena, including the saddle - node bifurcation, the supercritical and subcritical hopf bifurcation, and the lioinoclinic bifurcation. in the generic case, the model has the bifurcation of cusp type ol ' codimension 2 ( i. e. bogdanov - taken bifurcation ) but for some specific parameter values it has a multiple focus of multiplicity at least 2. and, we give the global analysis

    本文考慮具非單調功能反應函數的捕食者?食餌系統，討論了系統的bogdanov - taken分支，給出了不同種類的分支現象，包括鞍-結點分支，上臨界與下臨界hopf分支，和同宿軌分支，並討論了無窮遠點的定性分析，給出了全局結構。
  2. The ttc is calculated using a method based on continuation power flow ( cpf ), and the method is the most availability and reliability of coping with saddle - node bifurcation point in the curve result, which is validated with simulation on some calculation examples

    經過算例的分析，連續潮流的計算方法在求解考慮鞍型分叉的電壓穩定性約束下的輸電能力最為可靠，該方法有效且實用。
  3. Primary resonance saddle - node bifurcation control of forced duffing system

    振動系統的主共振鞍結分岔控制
  4. Afterwards, a duffing system with delayed displacement feedback is studied by the method of multiple scales and other numerical methods. the uniform formulas for computing the critical values of time delay are given and the global diagrams of bifurcation for the periodic solutions with respect to the time delay are obtained under different parametric combinations. it is shown that the hopf bifurcation and the saddle - node bifurcation are the only two types of bifurcation observed in such a system

    接下來用多尺度法及數值方法研究了一具有時滯位移反饋的duffing系統的動力學，得到了不同參數下系統平衡點發生穩定性切換時的臨界時滯計算公式及關于時滯的大范圍hopf分叉圖，並發現saddle - node分叉及hopf分叉是系統出現周期運動的兩個主要的來源。
  5. 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。
  6. We show the global dynamics of system ( 1 ) for different parameters. this article consists of two sections, in the first section, we study the global dynamics of system ( l ) when b >. depending on the global qualitative analysis of parameters, we show that the system exhibits " paradox enrichment " for some parameters, a global stable attractor ( ie, positive equilibrium ) for some parameters and a unique stable limit cycle for some other parameters. the bifurcation analysis of system ( 1 ) indicates that it exhibits numerous kinds of bifurcation phenomena including the saddle - node bifurcation. hopf bifurcation, and the homoclinic bifurcation

    全文共分成二部分。在第一部分中，我們討論系統（ 1 ）在b - 2a ~ （ 1 / 2 ）時的全局動力學行為，對參數的全局定性分析表明在某些參數域中系統（ 1 ）展示「富食悖論」現象，在某些參數域中系統（ 1 ）具有全局穩定的吸引子（即正平衡點） ，在某些參數域中系統（ 1 ）有穩定的唯一極限環。
  7. 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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