Non-formally integrable centers admitting an algebraic inverse integrating factor
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , , |
|---|---|
| Format: | Preprint |
| Publié: |
2024
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866912047162195968 |
|---|---|
| author | Algaba, A. Fuentes, N. Garcia, C. Reyes, M. |
| author_facet | Algaba, A. Fuentes, N. Garcia, C. Reyes, M. |
| contents | Westudy the existence of a class of inverse integrating factor for a family of non formally integrable systems, in general, whose lowest-degree quasi-homogeneous
term is a Hamiltonian vector field. Once the existence of an inverse integrat ing factor is established, we characterize the systems having a center. Among others, we characterize the centers of the systems whose lowest-degree quasiho mogeneous term is (-y3,x3)T with an algebraic inverse integrating factor.
Keywords: Nonlinear differential systems, Inverse integrating factor, Integrability problem, Degenerate center problem |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_17694 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Non-formally integrable centers admitting an algebraic inverse integrating factor Algaba, A. Fuentes, N. Garcia, C. Reyes, M. Dynamical Systems 14J60 (Primary) 14F05, 14J26 (Secondary) F.2.2; I.2.7 Westudy the existence of a class of inverse integrating factor for a family of non formally integrable systems, in general, whose lowest-degree quasi-homogeneous term is a Hamiltonian vector field. Once the existence of an inverse integrat ing factor is established, we characterize the systems having a center. Among others, we characterize the centers of the systems whose lowest-degree quasiho mogeneous term is (-y3,x3)T with an algebraic inverse integrating factor. Keywords: Nonlinear differential systems, Inverse integrating factor, Integrability problem, Degenerate center problem |
| title | Non-formally integrable centers admitting an algebraic inverse integrating factor |
| topic | Dynamical Systems 14J60 (Primary) 14F05, 14J26 (Secondary) F.2.2; I.2.7 |
| url | https://arxiv.org/abs/2409.17694 |