Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5775992 | Applied Mathematics and Computation | 2017 | 12 Pages |
Abstract
In this paper, we study bifurcation of limit cycles in planar cubic near-Hamiltonian systems with a nilpotent center. We use normal form theory to compute the generalized Lyapunov constants and show that there exist at least 9 limit cycles around the nilpotent center. This is a new lower bound on the number of limit cycles in planar cubic near-Hamiltonian systems with a nilpotent center.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Junmin Yang, Pei Yu,