Frontiers of Mathematics in China >
Quadratic perturbations of a quadratic reversible center of genus one
Received date: 25 Jan 2010
Accepted date: 27 Jul 2011
Published date: 01 Oct 2011
Copyright
In this paper, we study a reversible and non-Hamitonian system with a period annulus bounded by a hemicycle in the Poincaré disk. It is proved that the cyclicity of the period annulus under quadratic perturbations is equal to two. This verifies some results of the conjecture given by Gautier et al.
Linping PENG . Quadratic perturbations of a quadratic reversible center of genus one[J]. Frontiers of Mathematics in China, 2011 , 6(5) : 911 -930 . DOI: 10.1007/s11464-011-0155-4
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