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1)  stochastic Melnikov function
随机Melnikov函数
2)  melnikov function
Melnikov函数
1.
Melnikov functions of planar near-Hamiltonian systems and their Hopf bifurcations;
平面近Hamilton系统的Melnikov函数与Hopf分支
2.
For researching chaotic oscillation in large scale interference power system and enhancing its security,a method to calculate Melnikov was propsed,which analyzed heteroclinic bifurcation of oscillation in nonlinera three-parameter two-generator power system and inferred the condition that Melnikov function have simple zero result.
为了研究大干扰下电力系统中的混沌振荡,提高电力系统的稳定性,分析了非线性三参数二机电力系统振荡的异宿分支,给出了Melnikov函数的计算方法,推导出了Melnikov函数具有简单零点的条件,获得了电力系统发生混沌振荡的锥形参数区域和带形参数区域,从而阐明了二机电力系统产生混沌振荡的机理,得到了定量化的参数条件,为准确判断混沌振荡和提高大偏差状态下电力系统的稳定性提供了计算依据。
3.
The critical relations between the base excitation amplitude or the mean fluid flow-rate and the base excitation frequency are obtained by solving Melnikov functions for the distance between stable and unstable manifolds of saddle points of the perturbed system.
采用Melnikov方法研究两端固定输流管道系统在基础简谐运动激励下发生混沌运动时系统参数需满足的解析条件,通过计算衡量受扰系统鞍点稳定流形和不稳定流形之间距离的Melnikov函数,确定基础激励振幅和平均流速与激励频率间的临界值关系,并与系统混沌运动的数值仿真进行对比分析。
3)  stochastic Melnikov process
随机Melnikov过程
1.
The stochastic Melnikov process is derived and the critical value of excitation amplitude for the onset of chaotic motion is obtained based on the stochastic Melnikov process having simple zero in the mean square sense.
推导了随机Melnikov过程 ,由广义过程在均方意义上出现简单零点给出了可能出现混沌的临界激励幅值 ,发现在噪声强度大于一定值后 ,临界幅值均随噪声强度的增大而增
4)  stochastic Melnikov method
随机Melnikov方法
1.
By using the stochastic nonlinear dynamics theory, based on the stochastic Melnikov method and rate of phase space flux theory, the dynamical stability of ships in random ocean wave and the method on reducing its capsizal are studied.
应用随机非线性动力系统理论,借助随机Melnikov方法及rate of phase space flux理论,从系统稳定性的角度分析了船舶在随机波浪上的运动稳定性。
5)  Stochastic Melnikov integral
随机Melnikov积分
6)  Melnikov function method
Melnikov函数方法
1.
By use of Melnikov function method,the chaos condition and judging criterion of the system under the condition of Smale horseshoe map were given.
运用Melnikov函数方法,求出该问题在Smale马蹄映射下发生混沌运动的条件解。
补充资料:C语言随机函数

编程时有时需要随机输入一些数,这是调用随机函数可以完成此相命令.

说明:补充资料仅用于学习参考,请勿用于其它任何用途。
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