A method for characterizing nilpotent centers |
| |
Authors: | Jaume Giné Jaume Llibre |
| |
Institution: | 1. Departament de Matemàtica, Universitat de Lleida, Avda. Jaume II, 69, 25001 Lleida, Catalonia, Spain;2. Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Bellaterra, Barcelona, Catalonia, Spain |
| |
Abstract: | To characterize when a nilpotent singular point of an analytic differential system is a center is of particular interest, first for the problem of distinguishing between a focus and a center, and second for studying the bifurcation of limit cycles from it or from its period annulus. We provide necessary conditions for detecting nilpotent centers based on recent developments. Moreover we survey the last results on this problem and illustrate our approach by means of examples. |
| |
Keywords: | Nilpotent center Degenerate center Liapunov constants Bautin method |
本文献已被 ScienceDirect 等数据库收录! |
|