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Geometric Configurations of Singularities of Planar Polynomial Differential Systems
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Geometric Configurations of Singularities of Planar Polynomial Differential Systems : A Global Classification in the Quadratic Case

2021 ed.

Book Details

Format Hardback or Cased Book
ISBN-10 3030505693
ISBN-13 9783030505691
Edition 2021 ed.
Publisher Springer Nature Switzerland AG
Imprint Springer Nature Switzerland AG
Country of Manufacture GB
Country of Publication GB
Publication Date Jun 18th, 2021
Print length 699 Pages
Ksh 25,200.00
Werezi Extended Catalogue 0 in stock

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This book addresses the global study of finite and infinite singularities of planar polynomial differential systems, with special emphasis on quadratic systems.

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.



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