| 书目名称 | Inverse Problems in Ordinary Differential Equations and Applications |
| 编辑 | Jaume Llibre,Rafael Ramírez |
| 视频video | |
| 概述 | Solves the 16th Hilbert problem (restricted to algebraic limit cycles) based on generic assumptions.Presents a detailed analysis of transpositional relations, a generalization of the Hamiltonian princ |
| 丛书名称 | Progress in Mathematics |
| 图书封面 |  |
| 描述 | .This book is dedicated to study the inverse problem of ordinary differential equations, that is it focuses in finding all ordinary differential equations that satisfy a given set of properties. The Nambu bracket is the central tool in developing this approach. The authors start characterizing the ordinary differential equations in R^N which have a given set of partial integrals or first integrals. The results obtained are applied first to planar polynomial differential systems with a given set of such integrals, second to solve the 16th Hilbert problem restricted to generic algebraic limit cycles, third for solving the inverse problem for constrained Lagrangian and Hamiltonian mechanical systems, fourth for studying the integrability of a constrained rigid body. Finally the authors conclude with an analysis on nonholonomic mechanics, a generalization of the Hamiltonian principle, and the statement an solution of the inverse problem in vakonomic mechanics.. |
| 出版日期 | Book 2016 |
| 关键词 | 16th Hilbert problem; Nambu bracket; inverse problems; ordinary differential equations; planar polynomia |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-319-26339-7 |
| isbn_softcover | 978-3-319-79935-3 |
| isbn_ebook | 978-3-319-26339-7Series ISSN 0743-1643 Series E-ISSN 2296-505X |
| issn_series | 0743-1643 |
| copyright | Springer International Publishing Switzerland 2016 |
发表于 2025-3-21 17:35:29
