GLOBAL PHASE PORTRAITS OF UNIFORM ISOCHRONOUS CENTERS WITH QUARTIC HOMOGENEOUS POLYNOMIAL NONLINEARITIES

Autor(es)

Itikawa, Jackson ^[1] ; Llibre, Jaume ^[1]

Afiliação do(s) autor(es)

^[1] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona - Spain

• Tipo de documento: Artigo Científico
• Fonte: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B; v. 21, n. 1, p. 121-131, JAN 2016.
• Citações Web of Science: 2

Resumo

We classify the global phase portraits in the Poincare disc of the differential systems x = y + x f(x,y), y = x + y f(x,y), where f(x,y) is a homogeneous polynomial of degree 3. These systems have a uniform isochronous center at the origin. This paper together with the results presented in {[}9] completes the classification of the global phase portraits in the Poincare disc of all quartic polynomial differential systems with a uniform isochronous center at the origin. (AU)

• Processo FAPESP: 11/21898-0 - Problema do centro foco em sistemas cúbicos nilpotentes e degenerados
• Beneficiário: Jackson Itikawa
• Modalidade de apoio: Bolsas no Brasil - Doutorado