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拓扑混合
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  topological mixing
     For continuous surjection f of compact metric space with infinite elements,we study the relationships between f have the pseudo-orbit-tracing property and f is chaotic in the sense of Ruelle-Takens,topological mixing and have property P.
     本文对具有无限个点的紧致度量空间上的连续满射,研究了伪轨跟踪性质与Ruelle-Takens意义下的混沌、拓扑混合及具有性质P的关系.
短句来源
     Show that if f∶S→S is weakly topological mixing and |deg (f) |≥2,then f is topological exact.
     证明了圆周上的自映射f在|deg(f)|≥2时,弱拓扑混合与拓扑正合具有一致性.
短句来源
     In section 2, we introduce some basic notions and their relations, such as: Li -Yorke chaos, Devaney chaos, Xiong Jincheng chaos, topological mixing, and so on.
     在第二部分,我们介绍Li-Yorke浑沌、Devaney浑沌、熊金城浑沌、拓扑混合等定义,并给出了它们之间的关系。
短句来源
     Specification is an important dynamical property, and it is equivalent to topological mixing for continuous mapping on the interval and the tree,and for the continuous map of compact metric space,POTP and topological mixing imply weak specification.
     specification性质是一种重要的动力性质,对连续的区间映射和树映射,该性质与拓扑混合等价。 对紧致度量空间,满足POTP性质的拓扑混合映射具有specification性质。
短句来源
     On the Relations Between Weakly Topological Mixing and Topological Exact of Maps on the Circle
     圆周上弱拓扑混合与拓扑正合的关系
短句来源
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  topologically mixing
     Distribution Chaos in a Sequence and Topologically Mixing
     按序列分布混沌与拓扑混合
短句来源
     Erratic Time Dependence of Orbits for a Topologically Mixing Map
     在拓扑混合映射下轨迹对于时间的异常依赖性(英文)
短句来源
     What we are interested in is the chaoticity of the shift mapis chaotic and topologically mixing in Fr(Z2, B), B compact in X. (2)
     (1)时码在凡(22,B”中混沌且拓扑混合,其中.B为X中的紧集.(2)移位映射砖码限制在(紧)不变子集H_L,保留了刘初始条件的敏感性和周期点稠密性但不满足拓扑传递性.
短句来源
     We investigated the relationships between the chaoticity of some set-valued discrete dynamical (systems) associated withf, the weakly topologically mixing and the topologically mixing off with the chaoticity of f.
     研究集值映射f的混沌性、f的拓扑弱混合以及拓扑混合与f混沌性之间的关系.
短句来源
     Let (X,d) be a compact metric space and f: X→X a continuous map. We consider the space (k(X),H) of all nonempty compact subsets of X endowed with the Hausdorff metric induced by d and f :k(X)→k(X), in this paper, we investigate the relationships among the chaoticity of some set-valued discrete dynamical associated to f, weakly topologically mixing,topologically mixing and topologically transitivity.
     考虑连续映射f:X→X以及f诱导的k(X)到自身的连续映射f,其中X为度量空间,k(X)为X的所有非空紧子集赋予Hausdorff度量所得空间. 对集值离散动力系统的混沌、拓扑混合、拓扑弱混合之间的关系进行了探讨,得到了几个有意义的结果.
短句来源
  “拓扑混合”译为未确定词的双语例句
     In this paper, research on mobile robot localization with priori map can be classified as extend Kalman filter-based approach, probabilistic localization approach and hybrid metric-topological localization.
     对基于先验地图的移动机器人定位问题,本文分别对扩展卡尔曼滤波定位、基于概率模型全局定位和基于先验几何—拓扑混合地图定位这三种主要方法进行了系统研究。
短句来源
     As a developing technology, UWB brings many new features, such as pi-conet-based topology, mixed time-division multiple access (TDMA) and carrier sense multiple access with collision avoidance (CSMA/CA) channel access method, etc.
     作为一个新兴技术,UWB带来了许多新的特性,如基于皮克网(piconet)的网络拓扑,混合了时分复用(TDMA)和载波监听复用/冲突避免(CSMA/CA)的信道访问方式等。
短句来源
     Mobile Robot Geometric-topological Map Building and Self-localization
     移动机器人几何-拓扑混合地图的构建及自定位研究
短句来源
     Mobile Robot Metric-Topological Map Building and Localization
     移动机器人几何—拓扑混合地图构建及定位研究
短句来源
     Using the lemma we give a chaotic form more rigorous than distribution chaos in a sequence.
     借助这个引理,我们给出了某些混合(拓扑混合或者测度论意义下的混合)的系统中存在着混沌行为的某种新特征,它较之于序列分布混沌更为严酷。
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  topological mixing
Measure-theoretical and topological mixing properties of dynamical systems arising from substitutions are considered.
      
Strictly ergodic models and topological mixing forZ2-action
      
In this paper we show that shifts of finite type satisfying a strong topological mixing property are universal models for ergodic measure preserving dynamical systems.
      
We generalize the classical notion of topological mixing for automorphisms ofC*-algebras in two ways.
      
In particular we prove the topological transitivity and topological mixing up to a natural first integral for the one-particle model.
      
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  topologically mixing
Critical sets and two-dimensional topologically mixing attractors of a pair of coupled "Tent maps"
      
Endomorphisms of the plane generated by coupling two identical one-dimensional unimodal piece-wise linear maps are proved to have two-dimensional topologically mixing attractors.
      
In our previous paper, we assumed that the map restricted to the remaining rectangles of the Markov partition is topologically mixing.
      
Topologically mixing and minimal but not ergodic, analytic transformation onT5
      
We give an example of an analytic transformation onT5 that conserves the Haar measure, that is minimal and topologically mixing, but is not ergodic.
      
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In this paper,we study the right shift σ on(Z+)~Z.We prove that the iff conditions for the topological mixing of σ|∧,where ∧ is a homo- geneous subshift,are i)There exists ∈A,such that {;n≥0}={x_n;n<0)=Z_-~+ ii)There exist x,y∈A,such that(p_x,p_y)=1,where p_x,p_y is the periodicity of x,y respectively.

本文考虑(Z~+)~Z 上的右移位变换,证明了齐次子移位∧上的右移位变换σ|∧拓扑混合的充要条件为:i)存在∈A∧,使得{_n;n≥0)={n;n<0)=Z~+ii)存在 x,y∈∧,使得(p_x,p_y)=1。其中 p_x,p_y 分别为 x,y 的周期。

In the present paper we show that for a topologically mixing map there are considerably many points in the domain whose orbits display highly erratic time dependence, i. e., if f: X→X is a topologically mixing map where X is a compact metric space consisting of in finitely many points, then for any increasing sequence {q_i} of positive integers and any countable subset S dense in X there exists a c-dense subset C of X satisfying the conditions (1) for any s ∈ S there exists a subsequence {p_i} of the sequence...

In the present paper we show that for a topologically mixing map there are considerably many points in the domain whose orbits display highly erratic time dependence, i. e., if f: X→X is a topologically mixing map where X is a compact metric space consisting of in finitely many points, then for any increasing sequence {q_i} of positive integers and any countable subset S dense in X there exists a c-dense subset C of X satisfying the conditions (1) for any s ∈ S there exists a subsequence {p_i} of the sequence {q_i} such that lim_(i→∞) f~(pi)(y)=s for every y ∈ C, and (2) for any n>0, any n distinct pooints y_1, y_2…y_n of f~(p_i), and any n points x_1, x_2, …, x_n of X there exists a subsequence {t_i} of the sequence {q_i} such that lim_(i→∞)f~(l_i), (y_j)=x_j for every j=1, 2, …, n.

本文指出在拓扑混合映射的定义域中有非常多的点的轨迹呈现出一种对于时间高度异常的依赖性,即若f:X→X是一个拓扑混合映射,其中X是一个由无限多个点组成的紧緻度量空间,则对于任何正整数递增序列{q_i}和X中任何稠密的可数集S,存在着X的一个c-稠密子集C满足条件:(1)对于任何s∈S,序列{q_i}有一个子序列{q_i}使得(?)(y)=s对于任何y∈C成立,(2)对于任意n>0,C中任意n个点y_1,y_2,…,y_n,和X中任意n个点x_1,x_2,…,x_n,序列{q_i}有一个子序列{t_i}使得(?)(y_j)=x_j,对于每一个j=1,2,…,n成立。

For continuous surjection f of compact metric space with infinite elements,we study the relationships between f have the pseudo-orbit-tracing property and f is chaotic in the sense of Ruelle-Takens,topological mixing and have property P.

本文对具有无限个点的紧致度量空间上的连续满射,研究了伪轨跟踪性质与Ruelle-Takens意义下的混沌、拓扑混合及具有性质P的关系.

 
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