分岔

The Zero-time discontinuity mapping is deduced in detail and the compound piecewise smooth map of corner-collision bifurcation is given.

数值结果表明该非光滑系统中存在周期运动的鞍结分岔和角点碰撞分岔现象。8。

And the stationary point was found to be a saddle point.

提出了识别和计算极限诱导分岔点和鞍结分岔点的2阶段混合算法。

The vibro-impact systems are familiar with the non-smooth dynamic systems.The dynamics research of the vibro-impact systems not only is significant in theory but also has practical values in engineering.Firstly,using the Poincaré map method,we get an existent criterion of single impact period-n motion in a two-degree-of-freedom vibro-impact system with damper.It is shown that our conclusions are valid through the numerical simulations.Moreover,the satiability of periodic motions is studied and the correspon...

基于Poincaré映射的方法，通过解析的方法导出了一类具有阻尼的两自由度碰撞振动系统的单碰周期n次谐运动存在性判据，经过数值模拟验证了理论分析的正确性，并给出了分析其稳定性的判别公式，通过数值模拟，讨论系统的局部分岔与全局分岔，同时比较了系统参数变化对其周期运动的影响，发现在强阻尼、弱激励、小质量比、较大恢复系数下系统将会出现较多的有规律的周期碰撞。

This is a simple pendulum model of the bifurcation behavior of the bifurcation diagram, is my collection, for your reference.

详细说明：这是一个单摆模型的分岔行为的分岔图，是我珍藏的，供大家参考。

From LS method and singularity theory GS normal form of the circuit bifurcation solution is obtained, and that noly one circuit solution curve exists near bifurcation point is proved.

利用LS约化方法和奇异性理论，导出了非线性电路解分岔的GS范式，证明了电路转折分岔解附近只有唯一一条解曲线。

Analog to the discontinuous bifurcation analysis for classic elasto-plastic theory by Ottosen and Runesson et al, the sufficient and necessary conditions of weak discontinuity and strong discontinuity localization bifurcation for the strain-gradient-enhanced-damage model are obtained.

借鉴Ottosen和Runeson等的弹塑性模型不连续局部化分岔方法，对应变梯度损伤模型推导出与梯度相关的强不连续和弱不连续局部化分岔充要条件。

By the verification of examples and the application an eleven-dimensional SSO system, as well as the testification of common QR method, it is shown that the method is effective for the identification of simple Hopf bifurcation of high dimensional system.

在第一部分中，本文根据Hopf分岔的代数判据，针对高维非线性动力系统，提出了半解析半数值的Hopf分岔识别方法。

Bifurcation doubts vision loss Xie sank off the break away tidy up.

分岔。 分岔疑惑茫然谢落挣脱拾掇憧憬沉没。

Baziling forked tunnel along Shanghai-Chengdu Expressway in construction is an unsymmetrically loaded tunnel. Construction process of forked tunnel is very complex because the forked tunnel includes twin-bore section and small clear spacing section. So, it's important for forked tunnel to adopt appropriate construction process.

正在施工的沪蓉西高速公路八字岭分岔隧道属于偏压隧道，而且分岔隧道包括连拱段和小净距段，施工过程转换复杂，因此，采用正确的施工方案对于隧道的稳定性非常重要。

Theoretical analysis and numerical results show that a steady positive period-1 solution bifurcates from the semi-trivial periodic solution through a transcritical bifurcation.

数值模拟显示，随着控制参数的变化，正周期-1解通过倍周期分岔出正周期-2解，再通过一系列倍周期分岔通向混沌。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。