Bifurcation and chaos are the frequency response of the nonlinear systems.
分岔与混沌是一类非线性系统的频率响应。
The stability, bifurcation and chaos of a rotor bearing system is analyzed by using the modified short bearing approach.
利用修正的短轴承理论模型对转子-轴承系统进行了稳定性、分岔与混沌特性分析。
The existence of bounded states and limit sets are concerned in order to explain chaos and turbulence phenomena in quantum field theory. Bifurcation and two critical speeds are discussed.
有界状态和极限集的存在性解释了量子场理论中混沌现象与湍流现象的内涵，并讨论了分歧现象与临界速度。
A cracked rotor with nonlinear influences of whirl speed is investigated, with particular focus on the behaviors of bifurcation and chaos.
分析了裂纹转子在非线性涡动影响下的动力学行为，特别是系统响应的分叉与混沌特性。
The bifurcation and chaos of the cracked rotor system are researched by employing the numerical integration method.
采用数值积分方法，对裂纹转子的分岔与混饨特性进行了研究。
The necessary condition of presenting bifurcation and chaos phenomena in dynamic systems is that the systems are nonlinear ones.
动力学系统中分岔与混沌现象产生的必要条件之一，就是该系统必须是非线性的。
The system could undergo the period-doubling bifurcation, saddle-note bifurcation, symmetry-breaking bifurcation and so forth to chaos, as the control parameter was set on some certain intervals.
在一定的参数区域内，系统历经倍周期分岔、鞍结分岔、对称性破缺分岔等形式通向混沌。
Bifurcation and chaos of periodic motions 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。
The paper did a systematic and profound research in control of bifurcation and chaos based on mathematical theory, thus, set a theoretical foundation for its application in engineering projects.
论文运用数理理论对非线性动力系统的分岔和混沌的基础理论和控制进行了较为系统和深入的研究，为应用于工程实际奠定了理论基础。
There exists period doubling bifurcation and chaos.
存在着倍周期分叉现象和混沌运动。
The modern world system is in a structural crisis, and we have entered an"age of transition, "that is, a period of bifurcation and chaos.
现代世界体系正处于结构性危机之中，人类社会已经进入“变革时代” ，即一个分岔和混乱时期。
Theoretical calculation for prediction of optical unstability by SPW has been obtained and some experiments were carried out, optical unstability of self-pulsing, bifurcation and chaos were observed.
从理论上得到光学不稳定性的条件；利用SPW观察到自脉冲、分叉及混沌等光学不稳性现象。
In Chapter 1, a brief review concerning the theory of local bifurcation and chaos of nonlinear dynamical systems is introduced.
第一章，简单介绍与本文有关的动力系统局部分岔及混沌理论。
The nonlinear dynamics of a permanent magnet stepper motor is studied by means of modern nonlinear theories such as bifurcation and chaos.
通过现代非线性理论如混沌动力学理论研究了永磁式步进电动机的非线性动力学。
The study is focused on the bifurcation and chaos characteristics of the flutter model, and the influence of viscoelastic damping.
通过数值模拟研究了该系统在粘弹阻尼作用下的动力学行为以及粘弹阻尼的影响。
The nonlinear vibration is analyzed analytically first. With the numerical method, the bifurcation behaviors and chaos are studied with such parameters as clearance, eccentric and rotating velocity.
首先对其非线性振动响应进行了解析分析，然后用数值方法研究了间隙、偏心和回转角速度等参数变化所导致的系统分岔和混沌运动的特征。
The main contents in this course includes: qualitative theory in dynamical system, chaos and its numerical recognition, bifurcation theory, the synchronization and control of chaos.
本课程主要内容包括：动力学系统的定性理论，混沌及其数值识别，分岔理论，混沌的同步与控制。
The response results show that there are three ways leading to chaos: quasi-periodic bifurcation, intermittent bifurcation and unstable period-3 motion.
由结果发现：响应进入混沌的道路有拟周期环面破裂、周期3运动失稳和阵发性混沌进入混沌三条。
The problem of bifurcation and chaos of a simply supported thin circular plate under coupling action of a electromagnetic field and a mechanical field is studied.
研究了机械场与电磁场耦合作用下简支圆薄板的分岔与混沌问题。
The problem of bifurcation and chaos of a simply supported thin circular plate under coupling action of a electromagnetic field and a mechanical field is studied.
研究了机械场与电磁场耦合作用下简支圆薄板的分岔与混沌问题。
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