Abstract
We classify new classes of centers and of isochronous centers for polynomial differential systems in ℝ2 of arbitrary odd degree d ≥ 7 that in complex notation z = x + iy can be written as where j is either 0 or 1, λ ε ℝ and A,B,C ε ℂ. Note that if j = 0 and d = 7 we obtain a special case of seventh polynomial differential systems which can have a center at the origin, and if j = 1 and d = 9 we obtain a special case of ninth polynomial differential systems which can have a center at the origin. © 2010 Springer Science+Business Media, LLC.
Original language | English |
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Pages (from-to) | 657-675 |
Journal | Journal of Dynamics and Differential Equations |
Volume | 22 |
Issue number | 4 |
DOIs | |
Publication status | Published - 1 Apr 2010 |
Keywords
- Centers
- Isochronous
- Polynomial vector fields