Geometric Configurations of Singularities of Planar Polynomial Differential Systems A Global Classification in the Quadratic Case
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 remaini...
| Main Authors: | , , , |
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| Format: | eBook |
| Language: | English |
| Published: |
Cham
Birkhäuser
2021, 2021
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| Edition: | 1st ed. 2021 |
| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- Part I
- Polynomial differential systems with emphasis on the quadratic ones
- 1 Introduction
- 2 Survey of results on quadratic differential systems
- 3 Singularities of polynomial differential systems
- 4 Invariants in mathematical classification problems
- 5 Invariant theory of planar polynomial vector fields
- 6 Main results on classifications of singularities in QS
- 7 Classifications of quadratic systems with special singularities
- Part II
- 8 QS with finite singularities of total multiplicity at most one
- 9 QS with finite singularities of total multiplicity two
- 10 QS with finite singularities of total multiplicity three
- 11 QS with finite singularities of total multiplicity four
- 12 Degenerate quadratic systems
- 13 Conclusions