Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4610058 | Journal of Differential Equations | 2015 | 24 Pages |
Abstract
A new method with an efficient algorithm is developed for computing the Lyapunov constants of planar switching systems, and then applied to study bifurcation of limit cycles in a switching Bautin system. A complete classification on the conditions of a singular point being a center in this Bautin system is obtained. Further, an example of switching systems is constructed to show the existence of 10 small-amplitude limit cycles bifurcating from a center. This is a new lower bound of the maximal number of small-amplitude limit cycles obtained in quadratic switching systems near a singular point.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Yun Tian, Pei Yu,