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Geometric Configurations of Singularities of Planar Polynomial Differential Systems - A Global Classification in the Quadratic Case (Hardcover, 1st ed. 2021)
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Geometric Configurations of Singularities of Planar Polynomial Differential Systems - A Global Classification in the Quadratic Case (Hardcover, 1st ed. 2021)
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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. 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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