THE POINCAR(E) BIFURCATION OF THE NON-HAMILTONIAN QUADRATIC INTEGRABLE SYSTEM WITH A DEGENERATE CRITICAL POINT FORMED BY CUBICS

摘要：

In this paper, we investigate the Poincar(e) bifurcation of the non-Hamiltonian quadratic integrable system with a degenerate critical point formed by cubics. It is proved that the cyclicity of the period annulus under quadratic perturbations is equal to two.

关键词： Poincar(e) bifurcation non-Hamiltonian quadratic integrable system Picard-Fuchs equation Abelian integral

作者: YAN SONG

作者单位: Department of Mathematics, Bohai University, Liaoning Jinzhou, China

会议类型: 国际会议

会议名称: The Second International Conference on Information & Systems Sciences(ICISS2008)(第二届信息与系统科学国际会议)

会议地点: 大连

会议语种:英文

页码: 137-146

在线出版日期: 2008-12-18（万方平台首次上网日期，不代表论文的发表时间）