书目名称 | Integrability of Dynamical Systems: Algebra and Analysis |
编辑 | Xiang Zhang |
视频video | http://file.papertrans.cn/469/468274/468274.mp4 |
概述 | Equips the reader with an understanding of integrability.Summarizes the classical results of Darboux integrability and its modern development.Connects analysis, algebraic geometry, field extension, di |
丛书名称 | Developments in Mathematics |
图书封面 |  |
描述 | .This is the first book to systematically state the fundamental theory of integrability and its development of ordinary differential equations with emphasis on the Darboux theory of integrability and local integrability together with their applications. It summarizes the classical results of Darboux integrability and its modern development together with their related Darboux polynomials and their applications in the reduction of Liouville and elementary integrabilty and in the center—focus problem, the weakened Hilbert 16th problem on algebraic limit cycles and the global dynamical analysis of some realistic models in fields such as physics, mechanics and biology.. .Although it can be used as a textbook for graduate students in dynamical systems, it is intended as supplementary reading for graduate students from mathematics, physics, mechanics and engineering in courses related to the qualitative theory, bifurcation theory and the theory of integrability of dynamical systems.. |
出版日期 | Book 2017 |
关键词 | integrability; Jacobian multipliers; Darboux integrability; Liouvillian integrability; Darboux polynomi |
版次 | 1 |
doi | https://doi.org/10.1007/978-981-10-4226-3 |
isbn_softcover | 978-981-13-5082-5 |
isbn_ebook | 978-981-10-4226-3Series ISSN 1389-2177 Series E-ISSN 2197-795X |
issn_series | 1389-2177 |
copyright | Springer Nature Singapore Pte Ltd. 2017 |