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Titlebook: Geometry and Dynamics of Integrable Systems; Alexey Bolsinov,Juan J. Morales-Ruiz,Nguyen Tien Z Textbook 2016 Springer International Publi

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發(fā)表于 2025-3-21 19:55:31 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Geometry and Dynamics of Integrable Systems
編輯Alexey Bolsinov,Juan J. Morales-Ruiz,Nguyen Tien Z
視頻videohttp://file.papertrans.cn/384/383768/383768.mp4
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,
叢書名稱Advanced Courses in Mathematics - CRM Barcelona
圖書封面Titlebook: Geometry and Dynamics of Integrable Systems;  Alexey Bolsinov,Juan J. Morales-Ruiz,Nguyen Tien Z Textbook 2016 Springer International Publi
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
關(guān)鍵詞bi-Hamiltonian systems; Poisson pencils; non-Hamiltonian systems; singularities; Picard-Vessiot; Differen
版次1
doihttps://doi.org/10.1007/978-3-319-33503-2
isbn_softcover978-3-319-33502-5
isbn_ebook978-3-319-33503-2Series ISSN 2297-0304 Series E-ISSN 2297-0312
issn_series 2297-0304
copyrightSpringer International Publishing Switzerland 2016
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發(fā)表于 2025-3-21 23:44:45 | 只看該作者
Textbook 2016ee 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 th
板凳
發(fā)表于 2025-3-22 01:34:04 | 只看該作者
2297-0304 Singularities of bi-Hamiltonian systems, stability analysis,.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 Ga
地板
發(fā)表于 2025-3-22 05:44:05 | 只看該作者
https://doi.org/10.1007/978-3-642-92904-5e sixties of the twentieth century by Kolchin, through the introduction of the modern algebraic abstract terminology and the obtention of new important results, see [12] and references therein. Today, the standard reference of this theory is the monograph [29].
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978-3-319-33502-5Springer International Publishing Switzerland 2016
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https://doi.org/10.1007/978-3-642-92904-5 a Galois theory for linear differential equations. This field of study, henceforth called Picard–Vessiot theory, was continued from the forties to the sixties of the twentieth century by Kolchin, through the introduction of the modern algebraic abstract terminology and the obtention of new importan
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