Gine, JaumeLlibre, JaumeValls, Claudia2021-11-292021-11-292019-05-17Giné, J., Llibre, J., & Valls, C. (2019). Chiellini Hamiltonian Lienard differential systems. <i>Electronic Journal of Differential Equations, 2019</i>(71), pp. 1-8.1072-6691https://hdl.handle.net/10877/14959We characterize the centers of the Chiellini Hamiltonian Liénard second-order differential equations x′ = y, y′ = -ƒ(x)y - g(x) where g(x) = ƒ(x) (k - α(1 + α) ∫ ƒ(x)dx) with α, k ∈ ℝ. Moreover we study the phase portraits in the Poincaré disk of these systems when ƒ(x) is linear.Text8 pages1 file (.pdf)enAttribution 4.0 InternationalLienard systemCenter-focus problemFirst integralsArticle