Theory of Limit Cycles
Theory of Limit Cycles
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DOI：
10.1090/mmono/066
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发表时间：
2009-02
期刊：
影响因子：
--
通讯作者：
Yen-chʿien Yeh;Suihua Cai
中科院分区：
文献类型：
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作者：
Yen-chʿien Yeh;Suihua Cai
在过去的二十年里，极限环理论，特别是二次微分系统的极限环理论，在国内外都取得了很大的进展。这本专着，更新1964年第一版，包括这些最新的发展，作为修订的作者的八个同事在自己的专业领域。书的第一部分涉及一般平面静止系统的极限环，包括它们的存在性，不存在性，稳定性和唯一性。第二节讨论了极限环的全局拓扑结构和二次系统的相图。最后，最后一节收集了前两节的主题下不能包括的重要结果，或最近出现在文献中的重要结果。这本书作为一个整体作为大学高年级学生，研究生和研究人员在数学和物理的参考。
Over the past two decades the theory of limit cycles, especially for quadratic differential systems, has progressed dramatically in China as well as in other countries. This monograph, updating the 1964 first edition, includes these recent developments, as revised by eight of the author's colleagues in their own areas of expertise. The first part of the book deals with limit cycles of general plane stationary systems, including their existence, nonexistence, stability, and uniqueness. The second section discusses the global topological structure of limit cycles and phase-portraits of quadratic systems. Finally, the last section collects important results that could not be included under the subject matter of the previous two sections or that have appeared in the literature very recently. The book as a whole serves as a reference for college seniors, graduate students, and researchers in mathematics and physics.