Chiellini Hamiltonian Lienard differential systems
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.
Citation
Giné, J., Llibre, J., & Valls, C. (2019). Chiellini Hamiltonian Lienard differential systems. Electronic Journal of Differential Equations, 2019(71), pp. 1-8.Rights License

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