Chiellini Hamiltonian Liénard differential systems
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)Rf(x)dx) with α,k ∈ R. Moreover we study the phase portraits in the Poincaré disk of these systems when f(x) is linear.
| Authors: | , , |
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| Format: | article |
| Publication Date: | 2019 |
| Country: | España |
| Institution: | Universitat Autònoma de Barcelona |
| Repository: | Dipòsit Digital de Documents de la UAB |
| Language: | English |
| OAI Identifier: | oai:ddd.uab.cat:222609 |
| Online Access: | https://ddd.uab.cat/record/222609 |
| Access Level: | Open access |
| Keyword: | Center-focus problem First integrals Liénard system |
| Summary: | 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)Rf(x)dx) with α,k ∈ R. Moreover we study the phase portraits in the Poincaré disk of these systems when f(x) is linear. |
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