New lower bounds for the Hilbert number of polynomial systems of Lienard type

作者：Xiong, Yanqin; Han, Maoan^*

来源：Journal of Differential Equations, 2014, 257(7): 2565-2590.

DOI：10.1016/j.jde.2014.05.058

• Hilbert number
• Lienard system
• Elementary center
• Melnikov function

In this paper, we study the maximal number of limit cycles of some kinds of polynomial Lienard systems with arbitrary degree and obtain some new lower bounds for the Hilbert number of the systems, which improve truly the certain existing results.

• 出版日期2014-10-1
• 单位上海师范大学