topological entropy 中文意思是什麼
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The set of divergence points is defined as following : we obtain that either all has the same limiting point or the topological entropy of the divergence points is as big as the whole space x. we also study the topological entropy of sup sets
我們得到如果不是所有的點x x ， { l _ nx }有相同的極限點，則d （ f ， ）的拓撲熵和整個空間的拓撲熵相同。此外我們還考慮了上集的拓撲熵。 -
In this paper it is proved that there are no scramble sets with nonzero invariant probability measure and especially there are no sequence - distribution - scramble sets with nonzero invariant probability measure in the minimal mappings of a compace metric space and interval mappings with zero topological entropy
摘要證明緊度量空間的極小映射以及拓撲熵為零的區間映射不存在具有非零不變概率測度的混沌子集，特別不存在具有非零不變概率測度的序列分佈混沌子集。 -
In chapter three, we study the topological entropy of the set of divergence points
在第三章中，我們主要研究了分叉點集合的拓撲熵。 -
The first two chapters are about iterated function systems and the third one is about the topological entropy of a certain dynamical system
其中一，二兩章是關于函數迭代系統，第三章是關于動力系統拓撲熵。 -
As a kind of topological conjugate invariant, the topologic entropy can perfectly describe complex behavior of dynamical system. therefore it plays a very important role in the study of dynamical system
拓撲熵作為一種拓撲共軛不變量，它對動力系統的混亂程度有著極好的數量描述，因此在動力系統的研究中占據著十分重要的位置。 -
Furthermore, we point out that for any interval lipschitz map with positive topological entropy there is a chaotic set with positive hausdorff dimension
特別指出，對具有正熵的lipschitz區間映射而言，存在正hausdorff維數的混沌集。 -
The cnn with based - term will be restudieiin chapter 3. under certain parameters, the stationary solutions " iteration map is topological conjugate to a beruonulli shift of certain symbolic space. moreover, the spatial entropy function of the map is two - dimensional and can be obtained explicitly as a space devil - staircase
在本文第三部分，我們在閾值非零的情況下，重新對其定態解誘導的一維迭代映射進行了細致分析，得知在不同的參數范圍內，迭代映射拓撲共軛于不同的符號空間的有限子移位。
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