| 書目名稱 | Dynamics through First-Order Differential Equations in the Configuration Space |
| 編輯 | Jaume Llibre,Rafael Ramírez,Valentín Ramírez |
| 視頻video | http://file.papertrans.cn/285/284219/284219.mp4 |
| 概述 | Demonstrates the use of first order ODEs to study the dynamics of mechanical systems.Explores the importance of the Nambu bracket in the study of ODEs.Offers a solution to the inverse problem in celes |
| 圖書封面 |  |
| 描述 | The goal of this monograph is to answer the question, is it possible to solve the dynamics problem inside the configuration space instead of the phase space? By introducing a proper class of vector field – the Cartesian vector field – given in a Riemann space, the authors explore the connections between the first order ordinary differential equations (ODEs) associated to the Cartesian vector field in the configuration space of a given mechanical system and its dynamics. The result is a new perspective for studying the dynamics of mechanical systems, which allows the authors to present new cases of integrability for the Suslov and Veselova problem; establish the relation between the Cartesian vector field and the integrability of the geodesic flow in a special class of homogeneous surfaces; discuss the importance of the Nambu bracket in the study of first order ODEs; and offer a solution of the inverse problem in celestial mechanics. |
| 出版日期 | Book 2023 |
| 關(guān)鍵詞 | First-Order Differential Equations; Nonholonomic Mechanics; Integrability; Nambu Bracket; Inverse Proble |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-031-27095-6 |
| isbn_softcover | 978-3-031-27097-0 |
| isbn_ebook | 978-3-031-27095-6 |
| copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
|Archiver|手機版|小黑屋|
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