A bifurcation equation of the steady state main resonance was obtained based on the multiple scales method.
在此基础上，用多尺度法求得稳态下主共振的分岔方程。
The bifurcation equation of the primary resonant of the system is acquired by the method of multiple scales.
应用多尺度法求得了系统主共振的分岔方程和不同参数下的主共振响应曲线。
Equivalent normal forms of the cavitated bifurcation equation at the bifurcation point were presented by using singularity theory.
利用奇点理论给出了空穴分岔方程在分岔点的等价正规形。
Based on a case study of the Watt linkage, the bifurcation equation with Angle variables has been established in complex number field.
以瓦特六杆机构为例，在复数域内建立了以角度为变量的复数形式机构分叉分析方程。
Then, using the multi-parameter stability theory and unification technique, we solved the reduced equation and obtained the bifurcation equations and their solution.
再利用多参数稳定性理论及归一化技术，对约化方程进行求解，得到了分岔方程。
Perturbation method is used to obtain the bifurcation equation with time-delays, and numerical method is utilized to analyze the effect of time-delays on the steady state response.
首先采用摄动法从理论上推导出时滞动力系统的分叉响应方程，再采用数值模拟的方法研究了时滞参数对系统分叉响应的影响。
The dynamical equations of the system are simplified to a3-order normal form with a series of coordinate and approximately identical transformations, and a bifurcation equation is thus obtained.
通过一系列的坐标变化和近恒等变换，将电力系统的动态方程简化成三阶规范形，从而得到系统的分岔方程。
Stability of solutions of the cavitated bifurcation equation is discussed in each region by using the minimal potential principle, and the catastrophic phenomenon of cavity formation is explained.
并利用最小势能原理讨论了空穴分岔方程的解在各个参数区域内的稳定性，解释了空穴生成的突变现象。
The steady solution and its stability of Nonlinear Schrdinger Equation (NLSE) are studied by means of traveling wave transformation and bifurcation theory.
用行波变换方法和分叉理论研究里非线性薛定谔方程的定常解和定常解的稳定性。
In the elastoplastic analysis, much more attention has been paid to bifurcation behaviour of the governing equation which always predicts various mechanism of failure or fracture.
在弹塑性大变形分析中，控制微分方程的分叉现象予示了一系列有实际工程背景的破坏机理。
The periodic wave solutions of the generalized CH equation are investigated by using bifurcation theory of differential equations and numerical simulations.
用微分方程分支理论和计算机数值模拟方法研究广义CH方程的周期波解。
The bifurcation diagrams of the parameter plane and the response equation are obtained.
给出主参数共振系统参数平面的分岔集和幅频响应方程的分岔图。
The method of qualitative analysis of differential equation and bifurcation is employed to study two classes of quartic systems.
用微分方程定性分析方法和分支方法研究两类四次系统。
The bifurcation and chaotic process of two-dimensional parallel wall shear flows are described by the forced oscillation equation containing a square nonlinear term.
二维平行壁面剪切流动进入混沌的现象可用含二次非线性项的强迫振动方程来描述。
The existence and uniqueness of limit cycles are discussed, and the equation of bifurcation surfaces is obtained.
对一个自催化反应振动模型作了全局分析，讨论了其极限环的存在与唯一性，给出了其分枝曲面方。
The existence and uniqueness of limit cycles are discussed, and the equation of bifurcation surfaces is obtained.
对一个自催化反应振动模型作了全局分析，讨论了其极限环的存在与唯一性，给出了其分枝曲面方。
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