Limit Cycles of Differential Equations
This textbook contains the lecture series originally delivered at the "Advanced Course on Limit Cycles of Differential Equations" in the Centre de Recerca Matemàtica Barcelona in 2006. The topics covered are the center-focus problem for polynomial vector fields, and the application of abel...
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| Hlavní autoři: | , |
|---|---|
| Médium: | Livre numérique |
| Jazyk: | Anglais |
| Vydáno: |
Cham :
Springer International Publishing
2024.
Cham : Springer Nature |
| Edice: | Advanced Courses in Mathematics / CRM Barcelona
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| Témata: | |
| On-line přístup: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Poznámka: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Limit Cycles of Differential Equations, Texte imprimé, 9783030596552 • Limit Cycles of Differential Equations, Texte imprimé, 9783030596576 |
Obsah:
- Part I: Around the Center-Focus Problem
- 1 Centers and Limit Cycles
- 2 Darboux Integrability
- 3 Liouvillian Integrability
- 4 Symmetry
- 5 Cherkas' Systems
- 6 Monodromy
- 7 The Tangential Center-Focus Problem
- 8 Monodromy of Hyperelliptic Abelian Integrals
- 9 Holonomy and the Lotka-Volterra System
- 10 Other Approaches
- Part II: Abelian Integrals and Applications to the Weak Hilbert's 16th Problem
- 1 Hilbert's 16th Problem and Its Weak Form
- 2 Abelian Integrals and Limit Cycles
- 3 Estimate of the Number of Zeros of Abelian Integrals
- 4 A Unified Proof of the Weak Hilbert's 16th Problem for n=2.