We construct a class of planar systems of arbitrary degree n having a reversible center at the origin and such that the number of critical periods on its period annulus grows quadratically with n. As far as we know, the previous results on this subject gave systems having linear growth. © 2010 Elsevier Inc.
|Journal||Journal of Differential Equations|
|Publication status||Published - 1 Aug 2010|
- Critical periods
- Hilbert's 16th problem
- Period function
- Reversible center