... Conjugacy Problem 共轭问题 topological conjugacy 拓扑共轭 Conjugacy classes 共轭类 ...
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In fact, these properties are preserved under topological conjugacy and provide a method to classify dynamical systems.
实际上,不可分解和可分解等性质都是拓扑共轭不变的,所以提供了一种动力系统的拓扑分类方法。 第二章,研究了符号空间上的几类典型动力系统。
参考来源 - 不可分解性与符号空间上动力系统研究In this paper, we proved that on one-sided symbolic space, model shift map is topologically conjugate with the traditional shift map.
本文证明了单边符号空间上拟移位映射和移位映射拓扑共轭,进而得到一类帐篷映射的拓扑熵。
参考来源 - 不可分解性与符号空间上动力系统研究This paper discusses topological conjugation of chaotic maps and its properties, derives the conjugate relation between Tent, logistic and 2nd-order Chebyshev maps. A method is given to produce chaotic sequences which can sustain this predictive attack.
本文讨论了混沌映射的拓扑共轭变换及其性质,导出了Tent、Logistic和二阶Chebyshev映射的共轭关系,并针对这种攻击提出了一种混沌序列的产生方法可有效地抵抗这种攻击。
参考来源 - 具有良好安全性能的混沌映射二进制序列·2,447,543篇论文数据，部分数据来源于NoteExpress
还讨论了符号动力系统之间的拓扑共轭问题。
The problem of topological conjugation between symbolic dynamical systems is also discussed.
本文证明了，拓扑动力系统与广义符号动力系统拓扑共轭的一个充分必要条件。
The paper presents a necessary and sufficient condition for topological dynamical system to be topologically conjugate with a generalized symbolic dynamical system.
考虑权为常数的单边加权移位算子，利用相似性的一个结果，给出了这类算子的完全拓扑共轭分类。
The present paper deals with the condition for a backward operator weighted shift to be Cowen Douglas operator.
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