Shimin Li, Tiren Huang
In this article, we study the planar cubic polynomial differential system
where is a conic and . We find a bound for the number of limit cycles which bifurcate from the period annulus of the center, under piecewise smooth cubic polynomial perturbations. Our results show that the piecewise smooth cubic system can have at least 1 more limit cycle than the smooth one.
Submitted October 24, 2014. Published April 21, 2015.
Math Subject Classifications: 34A36, 34C07, 37G15.
Key Words: Limit cycle; piecewise smooth system; averaging method.
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| Shimin Li |
School of Mathematics and Statistics
Guangdong University of Finance and Economics
Guangzhou 510320, China
| Tiren Huang |
Department of Mathematics
Zhejiang Sci-Tech University
Hangzhou 310018, China
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