All Title Author
Keywords Abstract

Mathematics  2011 

Limit cycle bifurcations from a nilpotent focus or center of planar systems

Full-Text   Cite this paper   Add to My Lib

Abstract:

In this paper, we study the analytical property of the Poincare return map and the generalized focal values of an analytical planar system with a nilpotent focus or center. Then we use the focal values and the map to study the number of limit cycles of this kind of systems with parameters, and obtain some new results on the lower and upper bounds of the maximal number of limit cycles near the nilpotent focus or center.

Full-Text

comments powered by Disqus