| Texto completo | |
| Autor(es): |
Pessoa, Claudio
;
Queiroz, Lucas
Número total de Autores: 2
|
| Tipo de documento: | Artigo Científico |
| Fonte: | BULLETIN DES SCIENCES MATHEMATIQUES; v. 200, p. 28-pg., 2025-02-26. |
| Resumo | |
Consider analytic three-dimensional differential systems having a singular point at the origin such that its linear part is y partial derivative x- lambda z partial derivative z for some lambda not equal 0. The restriction of such systems to a center manifold has a nilpotent singular point at the origin. We study the formal and analytic integrability for those types of singular points in the monodromic case. As a byproduct, we obtain some useful results for planar Cr systems having a monodromic nilpotent singularity. We conclude the work by studying issues related to monodromy and formal integrability for the Elsonbaty-El-Sayed system, the Hide-Skeldon-Acheson dynamo system and the Generalized Lorenz system. For this last system, we were able to detect nilpotent centers. (c) 2025 Elsevier Masson SAS. All rights are reserved, including those for text and data mining, AI training, and similar technologies. (AU) | |
| Processo FAPESP: | 19/13040-7 - Centros nilpotentes sobre variedades centrais |
| Beneficiário: | Lucas Queiroz Arakaki |
| Modalidade de apoio: | Bolsas no Brasil - Doutorado |
| Processo FAPESP: | 19/10269-3 - Teorias ergódica e qualitativa dos sistemas dinâmicos II |
| Beneficiário: | Claudio Aguinaldo Buzzi |
| Modalidade de apoio: | Auxílio à Pesquisa - Temático |
| Processo FAPESP: | 23/04061-6 - Sistemas dinâmicos contínuos ou suaves por partes em variedades de dimensão 2 e 3. |
| Beneficiário: | Cláudio Gomes Pessoa |
| Modalidade de apoio: | Auxílio à Pesquisa - Regular |