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Titlebook: Geometric Configurations of Singularities of Planar Polynomial Differential Systems; A Global Classificat Joan C. Artés,Jaume Llibre,Nicola

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发表于 2025-3-21 18:25:52 | 显示全部楼层 |阅读模式
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videohttp://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Titlebook: Geometric Configurations of Singularities of Planar Polynomial Differential Systems; A Global Classificat Joan C. Artés,Jaume Llibre,Nicola
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
doihttps://doi.org/10.1007/978-3-030-50570-7
isbn_softcover978-3-030-50572-1
isbn_ebook978-3-030-50570-7
copyrightSpringer Nature Switzerland AG 2021
The information of publication is updating

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发表于 2025-3-21 22:57:42 | 显示全部楼层
https://doi.org/10.1057/9780230234390In this book we study the singularities of the simplest nonlinear 2polynomial differential equations, the planar quadratic differential systems.
发表于 2025-3-22 02:35:40 | 显示全部楼层
https://doi.org/10.1007/978-1-4684-9957-5Quadratic differential systems occur often in many areas of applied mathematics, in population dynamics [145], nonlinear mechanics [236, 237, 69], chemistry, electrical circuits, neural networks, laser physics, hydrodynamics [347, 328, 183, 191], astrophysics [80] and others [280, 154, 102].
发表于 2025-3-22 08:28:31 | 显示全部楼层
Gay and Lesbian Physician Couples,Since we are going to talk about finite and infinite singularities, we must first describe the compactified space in which we are going to work.
发表于 2025-3-22 09:33:48 | 显示全部楼层
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发表于 2025-3-22 18:25:48 | 显示全部楼层
https://doi.org/10.1007/978-981-13-2339-3One of the goals of this book is to enumerate all possible geometrical configurations of singularities, finite and infinite, of real quadratic differential systems. The foliations with singularities of the complexified systems can be compactified over the complex projective space.
发表于 2025-3-22 23:29:17 | 显示全部楼层
Document Processing and RetrievalWe will give lots of examples of quadratic systems. Some sections will contain only examples from one specific normal form (having some parameters), and we will give the values of those parameters.
发表于 2025-3-23 01:57:14 | 显示全部楼层
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