Analytic Integrability of Some Examples of Degenerate Planar Vector Fields

作者：Algaba Antonio; Garcia Cristobal; Gine Jaume^*

来源：Acta Applicandae Mathematicae, 2016, 141(1): 1-15.

DOI：10.1007/s10440-014-0001-2

• Nonlinear differential systems
• Integrability problem
• Degenerate center problem

This paper is devoted to the classification of analytic integrable cases of two families of degenerate planar vector fields with a monodromic singular point at the origin. This study falls in the still open degenerate center problem. This classification can be done using the formal normal form theory and knowing a suitable normal form of any differential systems associated to each family.

• 出版日期2016-2