Dynamical Systems and Small Divisors
Dynamical Systems and Small Divisors
复制标题
动力系统和小除数
DOI：
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发表时间：
2002
期刊：
影响因子：
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通讯作者：
J. Yoccoz
中科院分区：
文献类型：
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作者：
H. Eliasson;S. Kuksin;S. Marmi;J. Yoccoz
这本书名义上包含了三个讲座的扩展版本，这些讲座是在同一标题的CIME会议上给出的，以及一个开放问题会议的transnational。应该指出的是，有些文本不仅仅是对其他地方出版的材料的教学论述。例如，Yoccoz的讲座包含首次出现在印刷品中的材料。不过，这三个论述确实都很清晰，也注意到了比较通俗易懂。第一讲“线性拟周期系统的扰动”，L。H.埃利亚松主要研究离散时间的拟周期上循环。一个说明性的例子是研究（Z）上的准周期薛定谔方程。考虑由下式定义的算子H：
This book nominally contains expanded versions of three of the lectures that were given in a CIME meeting of the same title as well as transcriptions of an open problem session. It should be remarked that some of the texts are not just pedagogical expositions of material that has been published elsewhere. For example, the lectures of Yoccoz contain material that appears in print for the first time. Nevertheless, it is true that the three expositions are very clear and have paid attention to being quite accessible. The first lecture “Perturbation of linear quasi-periodic systems” by L. H. Eliasson is concerned with the study of discrete time quasi-periodic cocycles. An illustrative example is the study of the quasi-periodic Schrodinger equation on (Z). Consider the operator H defined by: