Title:
The Cyclicity of Period Annulus of Degenerate Quadratic Hamiltonian System with Elliptic Segment

dc.contributor.author Chow, Shui-Nee
dc.contributor.author Li, Chengzhi
dc.contributor.author Yi, Yingfei
dc.contributor.corporatename Georgia Institute of Technology. School of Mathematics
dc.contributor.corporatename National University of Singapore. Dept. of Mathematics
dc.contributor.corporatename Peking University. School of Mathematical Sciences
dc.date.accessioned 2009-08-10T17:09:21Z
dc.date.available 2009-08-10T17:09:21Z
dc.date.issued 2000
dc.description AMS (MOS). Mathematics Subject Classification. 58F21, 34C05, 58F27, 58F30. en
dc.description.abstract We study the cyclicity of period annuli (or annulus) for general degenerate quadratic Hamiltonian systems with an elliptic segment or a saddle loop, under quadratic perturbations. By using geometrical arguments and studying the respective Abelian integral based on the Picard-Fuchs equation, it is shown that the cyclicity of period annuli or annulus for such systems equals two. This result, together with those of [8],[10],[11],[18],[19], gives a complete solution to the infinitesimal Hilbert 16th problem in the case of degenerate quadratic Hamiltonian systems under quadratic perturbations. en
dc.identifier.uri http://hdl.handle.net/1853/29492
dc.language.iso en_US en
dc.publisher Georgia Institute of Technology en
dc.relation.ispartofseries CDSNS2000-366 en
dc.subject Abelian integral en
dc.subject Cyclicity of period annulus en
dc.subject Degenerate quadratic Hamiltonian system en
dc.subject Infinitesimal Hilbert 16th problem en
dc.title The Cyclicity of Period Annulus of Degenerate Quadratic Hamiltonian System with Elliptic Segment en
dc.type Text
dc.type.genre Pre-print
dspace.entity.type Publication
local.contributor.author Chow, Shui-Nee
local.contributor.corporatename College of Sciences
local.contributor.corporatename School of Mathematics
relation.isAuthorOfPublication 184e1861-af72-4c62-b613-54c1d1b7febb
relation.isOrgUnitOfPublication 85042be6-2d68-4e07-b384-e1f908fae48a
relation.isOrgUnitOfPublication 84e5d930-8c17-4e24-96cc-63f5ab63da69
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