Necessary and also sufficient monodromy conditions for a large class of degenerate singular points of planar differential systems are given. For these systems, we also find a computable expression of the principal term of the asymptotic expansion of the return map, which gives the stability of the point. © 2002 Elsevier Science (USA).
|Journal||Journal of Differential Equations|
|Publication status||Published - 10 Jun 2002|
- Blow-up procedure
- Center focus problem
- Degenerate critical point
- Monodromy problem
Gasull, A., Mañosa, V., & Mañosas, F. (2002). Monodromy and stability of a class of degenerate planar critical points. Journal of Differential Equations, 182, 169-190. https://doi.org/10.1006/jdeq.2001.4095