本文提出并采用微分流形理论证明智能机器人体系结构可分解性定理。
In this paper, a decomposability theorem is presented and proved by differentiable manifolds theories.
然后基于不变流形理论和庞加莱截面方法，设计了不同拉格朗日点间转移轨道。
Then on the basis of invariant manifold theory and Poincaré section, a transfer trajetory between L1 and L2 of the Earth-Moon system was given.
这种方法以稳定流形理论为基础，通过设计合适的控制器将混沌系统引至目标轨道，使混沌得以控制和同步。
Based on the stable manifold theory, the chaotic system will be controlled and synchronized if it is guided to the desired target by designing a suitable controller.
应用中心流形理论将二元机翼颤振这一四维系统降为二维系统，用后继函数判别法对分叉点的真假中心及稳定性问题进行了分析。
The type and stability of the bifurcation points in the subsequent reduced two dimensional system are analyzed by the method of succeeding function.
假设期望轨迹由某一稳定外部系统产生，利用中心流形的理论，证明了系统内部动态有界解是存在的。
Supposing that the reference trajectory is generated by a stable system, the bounded solution of non hyperbolic internal dynamics is existed by using center manifold theory.
方法利用中心流形定理并结合平面系统的分支理论。
Methods Using the theorem of center manifold and bifurcation theory of planar system.
刚性理论是子流形几何中久盛不衰的重要方向，其根源可追溯到经典曲面论的高斯绝妙定理。
Rigidity theory is one ever-flourishing subject in geometry of submanifolds, which can be traced back to Gauss' Theorema Egregium in the classical theory of surfaces.
这理论表明，本构方程完全确定物质流形的几何结构。
This theory shows that the constitutive equations determine entirely the geometric structure of the material manifold.
结合李群李代数方法，系统地研究了多特征的位形空间理论，给出了定向公差约束子流形的局部参数显式表达。
A systematic introduction to the theory of configuration space of multi-features is given, appealing to Lie groups and algebras.
实验圆阵的实测阵列流形和理论阵列流形存在较大误差，这表明该文采用的可适用于任意结构阵列的宽带恒定束宽波束形成方法具有良好的宽容性。
The big difference between measured and theoretic manifold of the circular array showed that the broadband constant beamwidth beamforming method used in the paper has good tolerance.
本文在对絮凝理论分析的基础上，设计了几种不同扰流形式的旋流-扰流絮凝反应器。
The present paper aims to introduce a new-style rotational disturbed flow reactor developed by the author and the technology involved with the given reactor.
提出了一个非流形结构的表示方法——粘合边结构，其数学基础是代数拓扑中的复形理论。
An identification edge structure is put forward to represent non manifold modeling, which is built on the concepts and methods of the complex and CW complex in algebraic topology.
哈贝马斯将形而上学看做是西方哲学从古代到近代的主流形态，它的主要内容是同一性思想、理念论以及强大的理论概念。
Habermas regards metaphysics as the main trend from ancient to modern times. The thoughts of metaphysics include mainly the identity thinking, the theory of ideas and the strongly concept theory.
佩雷尔曼的工作揭示了瑞奇流定律——“三维板块构造理论”，它塑造了三维流形的世界。
Perelman's work revealed the laws of Hamilton's flow – the "3D-plate tectonics" which shaped the world of 3-manifolds.
佩雷尔曼的工作揭示了瑞奇流定律——“三维板块构造理论”，它塑造了三维流形的世界。
Perelman's work revealed the laws of Hamilton's flow – the "3D-plate tectonics" which shaped the world of 3-manifolds.
应用推荐