科研之友
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摘要
In this paper, we present two classes of lopsided systems and discuss their analytic integrability. The analytic integrable conditions are obtained by using the method of inverse integrating factor and theory of rotated vector field. For the first class of systems, we show that there are n + 4 small-amplitude limit cycles enclosing the origin of the systems for n >= 2, and ten limit cycles for n = 1. For the second class of systems, we prove that there exist n + 4 small-amplitude limit cycles around the origin of the systems for n >= 2, and nine limit cycles for n = 1.
- 出版日期2016-2
- 单位中南大学
