Abstract
We classify the global phase portraits in the Poincaré disc of the differential systems x• = -y + xf(x; y); y• = x + yf(x; y), where f(x; y) is a ho-mogeneous polynomial of degree 3. These systems have a uniform isochronous center at the origin. This paper together with the results presented in [9] com-pletes the classification of the global phase portraits in the Poincaré disc of all quartic polynomial differential systems with a uniform isochronous center at the origin.
Original language | English |
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Pages (from-to) | 121-131 |
Journal | Discrete and Continuous Dynamical Systems - Series B |
Volume | 21 |
Issue number | 1 |
DOIs | |
Publication status | Published - 1 Jan 2016 |
Keywords
- Disk
- Phase portrait
- Poincaré
- Polynomial vector field
- Quartic polynomial differential system
- Uniform isochronous center