topological entropy
英
美 [təpəˈlɑdʒɪkəl ˈentrəpi]
网络 拓扑熵; 拓朴熵
双语例句
- By means of the kneading theory of symbolic dynamics, the topological entropy of bimodal maps is calculated.
利用符号动力学的揉理论，讨论双峰映射拓扑熵的计算。 - For the eventually periodic kneading pair of significance, the analytic expression of the kneading determinant for determining its topological entropy is presented.
对于具有重要意义的终周期揉序列对，给出了决定其拓扑熵的揉行列式的解析表达式。 - As a consequence, we get that, each pointwise periodic map has zero topological entropy.
作为推论还得到，逐点周期映射有零拓扑熵。 - Smooth Integrable Geodesic Flows with Positive Topological Entropy
具有正拓扑熵的光滑可积测地流 - On the Variational Principle for the Topological Entropy of Non-compact Set
非紧集上的拓扑熵及其变分原理 - Topological Entropy of the Two-Class Mappings on the Symbolic space
符号空间上的两类映射的拓扑熵 - On Topological Entropy and Chaotic Set of One-dimensional Continuous Map
一维连续映射的拓扑熵和紊动集 - In this paper, the global regularities of fractal dimensions and topological entropy in one-dimensional maps are studied by using the method of symbolic dynamics.
本文运用符号动力学方法，研究了一维映射中分维和拓扑熵的整体规则性。 - According to the definition of topological entropy, a new method of calculating topological entropy is found, which directly depends on the kneading sequence or word.
根据拓扑熵的定义公式，用逆像点个数的方法找到了有限长度超稳揉序列词的拓扑熵的差分关系式.该函数关系式直接依赖于揉序列词。 - Topological Entropy and a Direct Bifurcation of Triangular Maps of the n-Cube
n&方体上的三角形映射的拓扑熵及分歧 - The Relation Between Elevation of Equivalence Relation, Elevation of Distance, Hypertopology, Quotient Topology and Topological Entropy.
等价关系和距离的提升与超拓扑，商拓扑，拓扑熵间的关系。 - In this paper, we study the set of sequences of topological entropy zero in the symbolic space.
本文研究符号空间中由零拓扑熵序列组成的集合。 - In the present paper we discuss the relation between the set of unilateral 7-limit points and the attracting centre of a tree map, and obtain a few equivalent conditions which a tree map has positive topological entropy.
本文讨论了树映射的单侧γ-极限点集与吸引中心的关系，得到了树映射具有正拓扑熵的几个等价条件。 - Unstable Manifolds, Nonwandering Sets and Topological Entropy of Tree Maps
树映射的不稳定流形，非游荡集与拓扑熵 - The set of chain equivalent points and topological entropy of a tree map
树映射的链等价集与拓扑熵 - A few properties of topological entropy on compact space
紧空间上拓扑熵的几个性质 - Lower Bound of Topological Entropy of Coordinate Self-maps on k-Dimension Torus
k维环面上坐标自映射下拓扑熵的一个下界 - The research conducted in this paper solves the symbolic structure of the devil's carpet and the metrization of the plateau of an equal topological entropy class ( ETEC), and presents the symbolic description and visual realization of equal entropy fractals.
本研究解决了拓扑熵魔毯的符号结构和等拓扑熵类平台的度量刻划；获得了等熵分形的符号刻划及直观实现。 - An elementary exploration of the fractal characteristic of the topological entropy "flow" on the devil's carpet is also carried out. Based on these, a classification of all admissible sequences in the complete topological space Σ_3 of three letters is suggested.
本文还对魔毯上拓扑熵流的分形特征进行了初步探讨，并对完备三符号拓扑空间∑3中的所有可允序列提出了一种分类方案。 - On the Topological Entropy of Homotopy Class for Maps
关于映射同伦类的拓扑熵 - With calculating the Lyapunov exponent of motive orbits of these maps, we study topological entropy's varying law as the stochastic parameter.
通过计算映射的运动轨道的Lyapunov指数，研究了二维保面积映射的拓扑熵随不可积参数变化的规律。 - The relationship between topological entropy and distributional chaos is discussed here.
研究了树上一般连续映射的熵与分布混沌的关系。 - The Topological Entropy of Monotone Maps on Circles
圆周上单调映射的拓扑熵 - Moreover, a method to estimate the infimum of Lipschitz constants by means of topological entropy is given.
另外，本文还给出了一个由拓扑熵来估计Lipschitz常数下确界的方法。 - As we know, the topological entropy is used to measure the complexity of dynamical systems.
我们知道，拓扑熵用来衡量一个动力系统的复杂程度。 - The notion of adic attractor is introduced. For a continuous interval map with nadic attractor, the paper proves that the condition that n is not a power of 2 is sufficient but not necessary for the map to have positive topological entropy.
对于一个具有n-进位吸引子的区间连续映射，证明了：n不是2的方幂是该映射具有正拓扑熵的充分条件但不是必要条件； - Strongly Hyperbolic Structure and Topological Entropy
强双曲构造与拓扑熵 - The usually used criteria of chaos in physics and engineering are boundedness of solutions and the existence of positive Lyapunov exponents or positive topological entropy.
物理和工程上常用的混沌判据是其有界性并存在正的Lyapunov指数或正的拓扑熵。 - A maybe unexpected byproduct of the study of uniformly entropy point is that, in each dynamical system, there exists a countable closed subset such that its topological entropy equals the topological entropy of the origin system.
一致熵点研究的一个也许有点惊奇的副产品是：每个动力系统里存在一个可数闭子集，使得它的拓扑熵等于整个系统的拓扑熵。 - Moreover, based on the idea of relative topological entropy pairs, the notion of relative uniformly positive entropy and relative completely positive entropy extensions is introduced. Some basic properties and the finite production is studied.
同时，基于相对拓扑熵对的思想，我们引入了相对一致正熵扩充和相对完全正熵扩充，讨论了它们的基本性质和有限乘积。