Limit Cycle Bifurcations in a Class of Cubic System near a Nilpotent Center

• 作者: Jiao Jiang
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: Near-Hamiltonian SYSTEM NILPOTENT CENTER Hopf Bifurcation Limit Cycle
• 年，卷（期）: yysxyw_2012,（7）
• 页码范围: 772-777
• 页数: 6页
• 分类号: O1

摘要

In this paper we deal with a cubic near-Hamiltonian system whose unperturbed system is a simple cubic Hamiltonian system having a nilpotent center. We prove that the system can have 5 limit cycles by using bifurcation theory.