| 书目名称 | Geometry and Dynamics of Integrable Systems | | 编辑 | Alexey Bolsinov,Juan J. Morales-Ruiz,Nguyen Tien Z | | 视频video | | | 概述 | Provides a clear introduction to Differential Galois Theory and to Picard-Vessiot Theory.Establishes, as a first book, a connection between Singularities of bi-Hamiltonian systems, stability analysis, | | 丛书名称 | Advanced Courses in Mathematics - CRM Barcelona | | 图书封面 |  | | 描述 | .Based on lectures given at an advanced course on integrable systems at the Centre de Recerca Matemàtica in Barcelona, these lecture notes address three major aspects of integrable systems: obstructions to integrability from differential Galois theory; the description of singularities of integrable systems on the basis of their relation to bi-Hamiltonian systems; and the generalization of integrable systems to the non-Hamiltonian settings. All three sections were written by top experts in their respective fields.. .Native to actual problem-solving challenges in mechanics, the topic of integrable systems is currently at the crossroads of several disciplines in pure and applied mathematics, and also has important interactions with physics. The study of integrable systems also actively employs methods from differential geometry. Moreover, it is extremely important in symplectic geometry and Hamiltonian dynamics, and has strong correlations with mathematical physics, Lie theory and algebraic geometry (including mirror symmetry). As such, the book will appeal to experts with a wide range of backgrounds.. | | 出版日期 | Textbook 2016 | | 关键词 | bi-Hamiltonian systems; Poisson pencils; non-Hamiltonian systems; singularities; Picard-Vessiot; Differen | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-33503-2 | | isbn_softcover | 978-3-319-33502-5 | | isbn_ebook | 978-3-319-33503-2Series ISSN 2297-0304 Series E-ISSN 2297-0312 | | issn_series | 2297-0304 | | copyright | Springer International Publishing Switzerland 2016 |
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发表于 2025-3-21 19:55:31
