Abstract
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.
Original language | English |
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Pages (from-to) | 253-261 |
Journal | Proceedings of the American Mathematical Society |
Volume | 138 |
Issue number | 1 |
DOIs | |
Publication status | Published - 1 Jan 2010 |
Keywords
- Analytic integrability
- Liénard differential system
- Local analytic integrability