On the Critical Periods of Liénard Systems with Cubic Restoring Forces

@inproceedings{ZHENGDONG2009OnTC,
  title={On the Critical Periods of Liénard Systems with Cubic Restoring Forces},
  author={DU ZHENGDONG},
  year={2009}
}
  • DU ZHENGDONG
  • Published 2009
We study local bifurcations of critical periods in the neighborhood of a nondegenerate center of a Liénard system of the form ẋ = −y + F(x), ẏ = g(x), where F(x) and g(x) are polynomials such that deg(g(x)) ≤ 3, g(0) = 0, and g′(0) = 1, F(0) = F ′(0) = 0 and the system always has a center at (0,0). The set of coefficients of F(x) and g(x) is split into two… CONTINUE READING