书目名称 | Geometric Configurations of Singularities of Planar Polynomial Differential Systems | 副标题 | A Global Classificat | 编辑 | Joan C. Artés,Jaume Llibre,Nicolae Vulpe | 视频video | http://file.papertrans.cn/384/383486/383486.mp4 | 概述 | Presents novel, powerful tools for studying algebraic bifurcations in quadratic differential systems.Introduces an algebra software package that will allow readers to avoid complicated calculations on | 图书封面 |  | 描述 | .This book addresses the global study of finite and infinite singularities of planar polynomial differential systems, with special emphasis on quadratic systems. While results covering the degenerate cases of singularities of quadratic systems have been published elsewhere, the proofs for the remaining harder cases were lengthier. This book covers all cases, with half of the content focusing on the last non-degenerate ones..The book contains the complete bifurcation diagram, in the 12-parameter space, of global geometrical configurations of singularities of quadratic systems. The authors’ results provide - for the first time - global information on all singularities of quadratic systems in invariant form and their bifurcations. In addition, a link to a very helpful software package is included. With the help of this software, the study of the algebraic bifurcations becomes much more efficient and less time-consuming..Given its scope, the book will appeal to specialists on polynomial differential systems, pure and applied mathematicians who need to study bifurcation diagrams of families of such systems, Ph.D. students, and postdoctoral fellows.. | 出版日期 | Book 2021 | 关键词 | quadratic vector fields; infinite and finite singularities; affine invariant polynomials; Poincaré comp | 版次 | 1 | doi | https://doi.org/10.1007/978-3-030-50570-7 | isbn_softcover | 978-3-030-50572-1 | isbn_ebook | 978-3-030-50570-7 | copyright | Springer Nature Switzerland AG 2021 |
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