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Geometric Configurations of Singularities of Planar Polynomial Differential Systems

A Global Classification in the Quadratic Case

By: Joan C. Artés,Jaume Llibre,Dana Schlomiuk,Nicolae Vulpe

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Geometric Configurations of Singularities of Planar Polynomial Differential Systems

A Global Classification in the Quadratic Case

By: Joan C. Artés,Jaume Llibre,Dana Schlomiuk,Nicolae Vulpe

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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Page Count

699

Publisher

Springer Nature

Published Date

ISBN 10

3030505707

ISBN 13

9783030505707

Geometric Configurations of Singularities of Planar Polynomial Differential Systems

A Global Classification in the Quadratic Case

By: Joan C. Artés,Jaume Llibre,Dana Schlomiuk,Nicolae Vulpe

Write a review Read reviews Take a Quiz Solve Book Puzzle

Geometric Configurations of Singularities of Planar Polynomial Differential Systems

A Global Classification in the Quadratic Case

By: Joan C. Artés,Jaume Llibre,Dana Schlomiuk,Nicolae Vulpe

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.

Average ratings

N/A

5

0%

4

0%

3

0%

2

0%

1

0%

Solve jigsaw puzzle

Age

Page Count

699

Publisher

Springer Nature

Published Date

ISBN 10

3030505707

ISBN 13

9783030505707