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Quadratic perturbations of a quadratic reversible center of genus one.
- Source :
- Frontiers of Mathematics in China; Oct2011, Vol. 6 Issue 5, p911-930, 20p
- Publication Year :
- 2011
-
Abstract
- 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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 16733452
- Volume :
- 6
- Issue :
- 5
- Database :
- Complementary Index
- Journal :
- Frontiers of Mathematics in China
- Publication Type :
- Academic Journal
- Accession number :
- 65798065
- Full Text :
- https://doi.org/10.1007/s11464-011-0155-4