It is a part of dynamical systems theory.
这是一个理论动力系统的一部分。
When I was working on Chaos, the young rebels of the Dynamical Systems Collective in Santa Cruz would try to explain Claude Shannon's invention of information theory to me.
当我在创作《混沌》的时候，圣克鲁兹动力系统集团(Dynamical Systems Collective)的年轻人曾试着给我解释克劳德·香农(ClaudeShannon)发明的信息理论。
Lindenstrauss, the ICM citation says, "has made far-reaching advances in ergodic theory," which studies the statistical behavior of dynamical systems.
国际数学联盟在颁奖辞中称Lindenstrauss在遍历理论方面取得了意义深远的进展，遍历理论是用于研究动力系统统计行为的数学分支。
Chaos Theory is the qualitative study of unstable aperiodic behaviour in deterministic non-linear dynamical systems.
在确定性的非线性动态系统中，混沌理论是针对不稳定的非周期行为的量性研究。
Then emphasis is put on the optimal theory on flow database analysis and construction of low-dimensional dynamical systems.
然后，着重介绍流动数据库分析及建立低维动力系统的优化理论。
Chaotic behaviours in nonlinear control and parameter-optimized systems are studied in this paper from the viewpoint of qualitative theory of nonlinear dynamical systems.
从非线性动态系统的定性理论出发，研究非线性控制和优化系统中的浑沌运动。
The bifurcation of travelling wave solutions for the generalized water wave equations are studied by using the bifurcation theory of planar dynamical systems.
应用动力系统分支理论，研究广义水波方程组行波解的分支。
However, it is very difficult to analyze and synthesize this process directly by the theory of hybrid dynamical systems.
炼钢连铸过程是一个复杂而又典型的混合动态系统，但现有的混合动态系统理论难以对此进行直接分析和综合。
Roughly speaking, dynamical systems consist of differential dynamical system, topological dynamical system, infinite dimensional dynamical system, complex dynamical system and ergodic theory etc.
今天的动力系统大致可分为微分动力系统、拓扑动力系统、无穷维动力系统、复动力系统、遍历论等方向。
The bifurcation would occur in the nonlinear dynamical systems. The theory of bifurcation provides us a new method to explore the strange phenomena in the social-economic systems.
在非线性动态系统中可能出现分岔现象，分岔理论为我们研究社会经济系统中的某些异常现象提供了一种新方法。
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 parameters of these components can be identified by using least square algorithm via a general modeling method of power electronic circuits based on the theory of hybrid dynamical systems.
通过基于混杂系统理论的通用电力电子电路建模，在此基础上应用最小二乘法实现电力电子电路的器件参数辨识和在线故障诊断。
This paper extends the vibrational control theory to the nonlinear dynamical systems with time lags.
本文研究采用振荡控制方法，来改善非线性动力系统的特性。
A fighter safe landing lateral-directional control method is presented based on reinforcement learning algorithm (RL), using hierarchical control of dynamical large-scale systems theory.
基于大系统递阶控制思想，提出了一种运用再励学习算法设计歼击机自动着陆横侧向协调控制系统的方法。
Li Bingxi. 1984. Periodic orbits of high dimensional dynamical systems: Theory and Applications [m]. Shanghai: Shanghai science and Technology Press.
李炳熙。1984。高维动力系统的周期轨道：理论和应用[M]。上海：上海科学技术出版社。
The self-similar measure has been studied since 1930's, revealing connections with harmonic analysis, the theory of algebraic numbers, dynamical systems and Hausdorff dimension estimation.
自相似测度的研究可以追溯到上个世纪30年代，随着研究的深入，人们逐渐发现它与调和分析、代数数论、动力系统及维数的估计都有密切的联系。
Finally, the asymptotic behavior of solutions is discussed, and by applying permanence theory in semi-dynamical systems sufficient conditions for the permanence of this system are derived.
最后讨论了解的渐近行为，运用半动力系统的一致持续理论给出了正解一致持续的充分条件。
The control theory of chaotic dynamical systems mainly contain the Lyapunov Exponents-based control and open-plus-closed-loop control of discrete-time chaotic systems.
针对混沌系统，采用基于李雅普·诺夫指数和开闭环控制实现了连续和离散混沌系统的控制。
The control theory of chaotic dynamical systems mainly contain the Lyapunov Exponents-based control and open-plus-closed-loop control of discrete-time chaotic systems.
针对混沌系统，采用基于李雅普·诺夫指数和开闭环控制实现了连续和离散混沌系统的控制。
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