| Volume 5, Number 3, 2015, Pages 515-526 DOI：10.11948/2015041 |
| Limit Cycle Bifurcations Of A Kind Of Lienard System With A Hypobolic Saddle And A Nilpotent Cusp |
| Junmin Yang,Feng Liang |
| Keywords:Limit cycle Lienard system nilpotent cusp heteroclinic loop |
| Abstract: |
| This paper gives a general theorem on the number of limit cycles of a near Hamiltonian system with a heteroclinic loop passing through a hyperbolic saddle and a nilpotent cusp. Then we study a kind of Lienard systems of type (n,4) for 3<=n<=27 and obtain the lower bound of the maximal number of limit cycles for this kind of system. |
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