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On the center problem for ordinary differential equations
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 128, Number 2, April 2006
- pp. 419-451
- 10.1353/ajm.2006.0012
- Article
- Additional Information
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We study the Center Problem for equations v' = Σ∞i=1ai(x)vi+1. This problem is closely connected to the classical Poincaré Center-Focus problem about the characterization of planar polynomial vector fields whose integral trajectories are closed curves with interiors containing a fixed point, a center.