Perturbation from an asymmetric cubic Hamiltonian

作者：Zhang, TH^*; Han, M; Zang, H

来源：Journal of Mathematical Analysis and Applications, 2005, 305(2): 617-630.

DOI：10.1016/j.jmaa.2004.12.044

• bifurcation
• limit cycle
• Hamiltonian system
• stability
• Hilbert's 16th problem

This paper concerns with the number of limit cycles from an asymmetric Hamiltonian of degree three under cubic perturbation. Eleven limit cycles are found and three different distributions are given by using the methods of bifurcation theory and qualitative analysis, two of which are new.

• 出版日期2005-5-15
• 单位上海交通大学