<電子ブック>
Limit Cycles of Differential Equations / by Colin Christopher, Chengzhi Li
(Advanced Courses in Mathematics - CRM Barcelona. ISSN:22970312)
版 | 1st ed. 2007. |
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出版者 | Basel : Birkhäuser Basel : Imprint: Birkhäuser |
出版年 | 2007 |
本文言語 | 英語 |
大きさ | VIII, 171 p : online resource |
著者標目 | *Christopher, Colin author Li, Chengzhi author SpringerLink (Online service) |
件 名 | LCSH:Differential equations LCSH:Dynamical systems FREE:Differential Equations FREE:Dynamical Systems |
一般注記 | Around the Center-Focus Problem -- Centers and Limit Cycles -- Darboux Integrability -- Liouvillian Integrability -- Symmetry -- Cherkas’ Systems -- Monodromy -- The Tangential Center-Focus Problem -- Monodromy of Hyperelliptic Abelian Integrals -- Holonomy and the Lotka-Volterra System -- Other Approaches -- Abelian Integrals and Applications to the Weak Hilbert’s 16th Problem -- Hilbert’s 16th Problem and Its Weak Form -- Abelian Integrals and Limit Cycles -- Estimate of the Number of Zeros of Abelian Integrals -- A Unified Proof of the Weak Hilbert’s 16th Problem for n=2 This textbook contains the lecture series originally delivered at the "Advanced Course on Limit Cycles of Differential Equations" in the Centre de Recerca Matemàtica Barcelona in 2006. The topics covered are the center-focus problem for polynomial vector fields, and the application of abelian integrals to limit cycle bifurcations. Both topics are related to Hilbert's sixteenth problem. In particular, the book will be of interest to students and researchers working in the qualitative theory of dynamical systems HTTP:URL=https://doi.org/10.1007/978-3-7643-8410-4 |
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電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9783764384104 |
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電子リソース |
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EB00229621 |
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