Abstract
© 2019 Texas State University. We characterize the centers of the Chiellini Hamiltonian Liénard second-order differential equations x′ = y, y′ = −f(x)y − g(x) where g(x) = f(x)(k − α(1 + α)∫ f(x)dx) with α, k ∈ R. Moreover we study the phase portraits in the Poincaré disk of these systems when f(x) is linear.
| Original language | English |
|---|---|
| Article number | 71 |
| Journal | Electronic Journal of Differential Equations |
| Volume | 2019 |
| Publication status | Published - 1 Jan 2019 |
Keywords
- Center-focus problem
- First integrals
- Liénard system