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...
保存先:
| 主要な著者: | , |
|---|---|
| フォーマット: | Livre numérique |
| 言語: | Anglais |
| 出版事項: |
Cham :
Springer International Publishing
2024.
Cham : Springer Nature |
| シリーズ: | Advanced Courses in Mathematics / CRM Barcelona
|
| 主題: | |
| オンライン･アクセス: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| 注記: |
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 |
| LEADER | 03341nam a22004217a 4500 | ||
|---|---|---|---|
| 001 | 939816 | ||
| 008 | 080505s2024 xxe ||| |||| 00| 0 eng d | ||
| 009 | PPN123729580 | ||
| 020 | |a 9783764384104 | ||
| 041 | 0 | |a eng | |
| 082 | |a 515.352 | ||
| 084 | |a 34-02. 2010 | ||
| 084 | |a 34C05. 2010 | ||
| 084 | |a 34C07. 2010 | ||
| 100 | 1 | |a Christopher, Colin. | |
| 245 | 1 | 0 | |a Limit Cycles of Differential Equations |c by Colin Christopher ; Chengzhi Li, Joan Torregrosa. |
| 260 | |a Cham : |b Springer International Publishing. | ||
| 260 | |a Cham : |b Springer Nature, |c 2024. | ||
| 490 | 0 | |a Advanced Courses in Mathematics / CRM Barcelona |x 2297-0312 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a 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. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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 abelian integrals to limit cycle bifurcations. Both topics are related to Hilbert's sixteenth problem. In particular, the book will be of interest to students and researchers working in the qualitative theory of dynamical systems | ||
| 650 | |a Cycles limites | ||
| 650 | |a Équations différentielles | ||
| 650 | |a Fonctions abéliennes | ||
| 650 | |a Seizième problème de Hilbert | ||
| 700 | 1 | |a Li, Chengzhi, |d 19..-...., |c mathématicien. |4 aut | |
| 776 | 0 | |t Limit Cycles of Differential Equations |b Texte imprimé |z 9783030596552 | |
| 776 | 0 | |t Limit Cycles of Differential Equations |b Texte imprimé |z 9783030596576 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/978-3-7643-8410-4 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-3K59G64L-6 |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:747879060 |u https://ezproxy.univ-orleans.fr/login?url=https://dx.doi.org/10.1007/978-3-7643-8410-4 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:750891580 |u https://ezproxy.insa-cvl.fr/login?qurl=https://dx.doi.org/10.1007/978-3-7643-8410-4 |z Accès INSA CVL | |
| 997 | |0 939816 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||