分岔

Consider the subharmonic bifurcation, a hypothesis of the monotonicity of periodic orbits is always needed.

在讨论次谐轨分岔时，总是在周期轨簇的周期是单调的前提下来进行的。

And a cavity motion equation with respect to time is obtained.

最后讨论了空穴分岔方程的解的稳定性。

In this dissertation we use adjointoperator method to compute normal forms of order 2,order 3 and order 4 for nonlineardynamical system with nilpotent linear part and Z2—asymmetry.

2当研究平均系统的非零解的高余维退化分岔时，需要利用不具有Z2—对称性的非线性动力系统的高阶规范形。

Now nonlinear dynamical systems with parametric excitation are one of the most important systems in the theory of nonlinear oscillations.

在非线性振动理论中目前最具代表性的一类系统是含有参数激励的非线性动力系统，在这类系统中有着极其丰富和复杂的动力学行为，如分岔、混沌特性等。

Based on the recent situation and trend of the nonlinear systems, we present some recent developments and important problems in stochastic dynamics such as response, bifurcation , chaos, synchronization and control.

摘要介绍了非线性随机动力学的响应、分岔、混沌以及混沌同步与控制的研究现状和发展趋势，探讨了随机复动力系统、时滞系统、逼近方法和数值方法研究中的若干问题及其进展。

Based on the one-dimension two-phase drift flow model, the simulation of system characteristic under HTRL-5 condition was performed.

基于一维两相四方程漂移流模型，采用数值模拟的方法对5MW低温核供热堆热工模拟回路（HTRL-5）的自然循环进行模拟，分析在自然循环系统中存在的分岔特性及其参数效应。

At the end of chapter 3,a nonlinear oscillatory system with slowly-variantparametersis analyzed to study the period-doublingbifurcation and chaotic motions.

在第三章的最后，本文讨论了一类含慢变参数的振动系统的倍周期分岔及混沌运动。

The condition of the periodic motion of so nonlinear dynamic system with impact damper is deduced.

对碰撞阻尼器振动系统推导了周期解存在的条件，并利用Poincare映射和数字仿真进行了分岔与混沌运动的研究。

Bifurcation and chaos of periodic motion s of a single-degree-of-freedom system with piecewise-linearity is studied.

研究了一类单自由度分段线性系统周期运动的分岔和混沌现象。

Depending on different system parameters, periodic orbit and strange attractor are given.

结合庞加莱截面分析方法导出系统吸引子，并给出了系统各参数分岔图。

I can not make it blossom and suits me

我不能让树为我开花

When temperatures are above approximately 80 °C discolouration of the raceways or rolling elements is a frequent feature.

当温度高于 80 °C 左右时，滚道或滚动元件褪色是很常见的特征。