Chiellini Hamiltonian Lienard differential systems
Files
Date
2019-05-17
Authors
Gine, Jaume
Llibre, Jaume
Valls, Claudia
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
We 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.
Description
Keywords
Lienard system, Center-focus problem, First integrals
Citation
Giné, J., Llibre, J., & Valls, C. (2019). Chiellini Hamiltonian Lienard differential systems. <i>Electronic Journal of Differential Equations, 2019</i>(71), pp. 1-8.
Rights
Attribution 4.0 International