本文研究符号空间中由零拓扑熵序列组成的集合。
In this paper, we study the set of sequences of topological entropy zero in the symbolic space.
本文给出了空间连续自映射拓扑熵等于零的几个充分条件。
In this paper, some results are obtained for a continuous self-mapping of topo - logical space with zero 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。
The Relation Between Elevation of Equivalence Relation, Elevation of Distance, Hypertopology, Quotient topology and Topological Entropy.
还讨论了极端黑洞熵，指出拓扑熵只有经典意义而不是量子的观点。
The extreme black hole is investigated and it is pointed out that the topological entropy only has the classical meaning and is not a quantum viewpoint.
本文讨论树映射的拓扑熵，得到树映射具有正拓扑熵的几个等价条件。
In this paper we discuss the topological entropy of a tree map and obtain several equivalent conditions for a tree map with positive topological entropy.
本文讨论了符号动力系统子移位的弱混沌，并得到拓扑熵为零的弱混沌子移位。
In this paper, we study weakly chaos on sub-shift of symbol dynamical system, and give a weakly chaotic sub-shift whose topological entropy is zero.
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。
For the eventually periodic kneading pair of significance, the analytic expression of the kneading determinant for determining its topological entropy is presented.
此外，还得到了树映射是强非混沌以及逐片单调树映射的拓扑熵为零的几个等价条件。
Furthermore, we also obtain a few equivalent conditions which a tree map is strongly not-chaotic and a few equivalent conditions which a piecewise monotone tree map has topological entropy zero.
在第一章中，我们简单地介绍拓扑动力系统的历史背景和基本概念，以及拓扑熵方面的一些已知结果。
In Chapter One, we introduce briefly the historic background and notions of topological dynamical system and some known results about topological entropy.
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。
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.
本文主要研究了动力系统中的局部熵的重分形分析和序列拓扑压的定义与性质。
In this paper, we study the multifractal analysis of local entropy and topological sequence pressure.
本文主要研究了动力系统中的局部熵的重分形分析和序列拓扑压的定义与性质。
In this paper, we study the multifractal analysis of local entropy and topological sequence pressure.
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