Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8959535 | Journal of Mathematical Analysis and Applications | 2018 | 15 Pages |
Abstract
In this work, we study the structural stability of planar quasi-homogeneous vector fields under quasi-homogeneous perturbations, and provide a complete classification. This study, which has been the subject of previous works, is only complete in the homogeneous case. The main tool in our analysis is a splitting of planar quasi-homogeneous vector fields into conservative-dissipative parts. Moreover, we describe the topological equivalence classes in the set of the structurally stable planar quasi-homogeneous vector fields. Finally, we include some examples where the equivalence classes are determined.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
A. Algaba, N. Fuentes, E. Gamero, C. Garcia,