We consider the Liénard analytic differential systems ẋ = y, ẏ = -cx - f(x)y, with c ε ℝ and f : ℝ → ℝ an analytic function. Then for such systems we characterize the existence of local analytic first integrals in a neighborhood of the singular point located at the origin. © 2009 American Mathematical Society.
|Journal||Proceedings of the American Mathematical Society|
|Publication status||Published - 1 Jan 2010|
- Analytic integrability
- Liénard differential system
- Local analytic integrability