尽管混沌表明动力学系统的障碍，但是定位混沌起源和观察它的发生可能允许研究人员去预测，也许甚至抵消某些结果。
Although chaos marks the disorder of a dynamical system, locating the origin of chaos and watching it develop might allow researchers to predict, and maybe even counteract, certain outcomes.
混沌是非线性动力学系统的一种运动形式。
Chaos is one of the kinetic forms of nonlinear dynamic system.
为了研究动力学系统和混沌中产生的跳跃随机性，利用能量平衡原理分析了二阶非线性电路的退化方程。
Chaos related discontinuity jumps in nonlinear dynamic systems were analyzed using a second order nonlinear circuit model and degenerative equations based on the energy balance principle.
计算表明，这一非线性系统具有尖点突变和混沌等有趣的动力学行为。
Computations show that the system has interesting dynamical behaviors such as cusp catastrophe and chaos.
研究了电磁轴承-转子系统在变刚度情况下的全局分叉和混沌动力学。
The global bifurcations and chaotic dynamics are investigated when the rotor-AMBs system has the time-varying stiffness.
第二部分考虑混杂系统中的混沌动力学及其控制。
In the second part, chaotic dynamics and controlling chaos in hybrid systems are considered.
混沌是发生在确定性非线性动力学系统中的一种内在随机运动。
Chaos is an inner stochastic motion happening in fixed non-linear dynamics system.
本文将讨论数字人体的离散动态系统，主要研究离散动力学与离散混沌。
The author will discuss the discrete dynamic system of digital human body in this paper. The discrete dynamics and discrete chaos will be mainly studied.
研究结果表明，N - L系统具有复杂的混沌动力学特性。
Results show that N-L system owns the dynamical complexity of chaotic system.
储层孔隙度和电阻率曲线间微差形态波形的复杂程度隐含着储层含油气性的信息，可以用混沌动力学系统加以刻划。
Differential waveform complexity between resistivity and porosity curves of reservoir often contains information of petroliferous reservoir, which can be described by the chaotic dynamics.
非线性动力学系统中由拟周期运动走向混沌的道路在理论上已为人们所公认。
The route of transition from quasi-periodicity to chaotic motion in nonlinear dynamical systems has been well accepted theoretically.
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 necessary condition of presenting bifurcation and chaos phenomena in dynamic systems is that the systems are nonlinear ones.
激光混沌动力学研究的是激光系统中的混沌现象，通过它可以研究非线性动力学规律。
The dynamics of laser chaos is about the chaotic behavior in laser system, we can study the nonlinear dynamics through it.
模拟结果表明，当被驱动参量的变化范围足够大时，两个或多个混沌系统在新的动力学的基础上达到完全同步。
The simulation results show that two identical chaotic systems can be synchronized completely when the change scope of the parameter driven is large enough.
全文的研究分为三大部分：时空动力学系统复杂行为的演化、时空混沌的控制、时空混沌的同步与应用。
The research work can be classified into three parts: evolution of the spatiotemporal dynamical behavior, control of STC, synchronization of STC and its application.
连续混沌动力学系统的远程学习控制研究。
Research on Learning Control with distal teacher of chaotic dynamical system.
讨论了一类新型混沌动力学系统的自适应控制及同步问题。
The adaptive control and synchronization problems for a kind of new chaotic dynamical system are explored.
不确定连续混沌动力学系统的同步控制理论研究。
Research on synchronous control theory of uncertain chaotic dynamical system.
研究了相同结构的混沌系统耦合后所得到的新系统的时空动力学行为及其系统特性。
The spatiotemporal dynamics behavior and system characteristic has been discovered for a new system coupled by some chaotic systems with same structure.
用数值方法模拟一个拓扑结构简单、动力学行为复杂的新型混沌系统分岔过程，并用连续控制法研究该系统的混沌控制和同步特性。
A numerical method is used to simulate the forking process of a new chaotic system which is simple in topology structure but complicated in dynamics behavior.
利用非线性动力学的宏观研究方法对清江库岸茅坪滑坡的位移时间序列进行了分析，发现滑坡系统在演变过程中存在混沌。
The time series of displacement monitoring data obtained in Maoping landslide of Qingjiang are analyzed by using macroscopic study of nonlinear dynamics method.
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。
A cracked rotor with nonlinear influences of whirl speed is investigated, with particular focus on the behaviors of bifurcation and chaos.
基于1 - D分段线性映射函数构造的混沌系统符号动力学，该文研究了一种能直接对混沌符号序列进行加、减及乘法运算的方法。
Based on symbol dynamics in 1-d piecewise linear mapping chaotic systems, an arithmetic method processing chaotic signals is studied in the paper, including addition, subtraction and multiplication.
而混沌时间序列分析为动力学系统的非线性信号分析、检测及诊断提供了一条全新的途径，着眼于从混沌动力学系统的本质去解决问题。
Chaotic time series analysis provides a new approach to analyzing, examining and diagnosing dynamics system, and resolves problem according to the essence of chaos dynamics signals.
文章研究了混沌动力学系统的神经网络内模控制策略。
This paper proposes a new control method of chaotic dynamical systems.
混沌是某些非线性动力学系统特有的内在属性，它与机械振动理论相结合而形成的新学科——混沌振动，正在成为一个日趋活跃的研究领域。
Chaos is the attribute of some nonlinear dynamic system. Chaotic vibration formed from the combining of chaos and mechanical vibration is becoming an active field.
本文工作证实，对于一类具有中心对称型的参数激励系统，其混沌态也具有中心对称性质，从而说明了浑沌并非一定是一种非对称性的动力学形态。
This work shows that for a kind of centrosymmetric systems with parametric excitation, their chaotic state has centrosymmetric property. Our result illustrates that chaos with symmetry may exist.
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 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 main contents in this course includes: qualitative theory in dynamical system, chaos and its numerical recognition, bifurcation theory, the synchronization and control of chaos.
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