Dynamic system
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Periodic orbits and Sturm–Liouville theory
I thinks there is some problem related to the solution of a 2 order differential…
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Rotation number
Consider compact 1 dimension dynamic system. We focus on $latex S_1$, it …
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Baragar-Bourgain-Gamburd-Sarnak conjecture
$latex M$ is the markov triple $latex (x,y,z)$: $latex x^2+y^2+z^2=xyz$ and $lat…
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Metric entropy 2
I am reading the article “ENTROPY THEORY OF GEODESIC FLOWS”. Now we …
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Metric entropy 1
Some basic thing, include the definition of metric entropy is introduced in my e…
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Covering a non-closed interval by disjoint closed intervals
this note will talk about the Ostrowski representation and approximation by cont…
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Interval map
1.period 3 induce chaos theorem:if a interval map $latex T:I\to I$ have a period…
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Flat surface 1
Topological point of view: in topological point of view a flat surface is a topo…
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动力系统笔记
$ T:X\longrightarrow X$ 介绍了三个简单例子,包括$ S_1$上的加倍映射,旋转映射以及$ X_k=\Pi_{n\in Z}\{1,2,&…