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Theory of limit cycles

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 colle...

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Detalles Bibliográficos
Autores principales: Ye, Yan-Qian, Yeh, Yen-Ch Ien, Lo, Chi Y
Lenguaje:eng
Publicado: American Mathematical Society 1986
Materias:
Acceso en línea:http://cds.cern.ch/record/2318081
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author Ye, Yan-Qian
Yeh, Yen-Ch Ien
Lo, Chi Y
author_facet Ye, Yan-Qian
Yeh, Yen-Ch Ien
Lo, Chi Y
author_sort Ye, Yan-Qian
collection CERN
description 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.
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institution Organización Europea para la Investigación Nuclear
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publishDate 1986
publisher American Mathematical Society
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spelling cern-23180812021-04-21T18:49:13Zhttp://cds.cern.ch/record/2318081engYe, Yan-QianYeh, Yen-Ch IenLo, Chi YTheory of limit cyclesMathematical Physics and MathematicsOver 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.American Mathematical Societyoai:cds.cern.ch:23180811986
spellingShingle Mathematical Physics and Mathematics
Ye, Yan-Qian
Yeh, Yen-Ch Ien
Lo, Chi Y
Theory of limit cycles
title Theory of limit cycles
title_full Theory of limit cycles
title_fullStr Theory of limit cycles
title_full_unstemmed Theory of limit cycles
title_short Theory of limit cycles
title_sort theory of limit cycles
topic Mathematical Physics and Mathematics
url http://cds.cern.ch/record/2318081
work_keys_str_mv AT yeyanqian theoryoflimitcycles
AT yehyenchien theoryoflimitcycles
AT lochiy theoryoflimitcycles