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Structural Stability of Planar Hamiltonian Polynomial Vector Fields

1994; Wiley; Volume: s3-68; Issue: 3 Linguagem: Inglês

10.1112/plms/s3-68.3.617

1460-244X

Xavier Jarque, Jaume Llibre,

Advanced Differential Equations and Dynamical Systems

Proceedings of the London Mathematical SocietyVolume s3-68, Issue 3 p. 617-640 Articles Structural Stability of Planar Hamiltonian Polynomial Vector Fields Xavier Jarque, Xavier Jarque Departament d'Economia, i d'Historia Econòmica, Universitat Autònoma de Barcelona, Bellaterra, 08193 Barcelona, SpainSearch for more papers by this authorJaume Llibre, Jaume Llibre Departament de Matemàtiques, Universitat Autònoma de Barcelona, Bellaterra, 08193 Barcelona, SpainSearch for more papers by this author Xavier Jarque, Xavier Jarque Departament d'Economia, i d'Historia Econòmica, Universitat Autònoma de Barcelona, Bellaterra, 08193 Barcelona, SpainSearch for more papers by this authorJaume Llibre, Jaume Llibre Departament de Matemàtiques, Universitat Autònoma de Barcelona, Bellaterra, 08193 Barcelona, SpainSearch for more papers by this author First published: May 1994 https://doi.org/10.1112/plms/s3-68.3.617Citations: 7AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onFacebookTwitterLinkedInRedditWechat Abstract We characterize the set of all structurally stable planar Hamiltonian polynomial vector fields with respect to perturbations, first in the set of all Cr planar vector fields, second in the set of all planar polynomial vector fields, and third in the set of all planar Hamiltonian polynomial vector fields. We also classify the canonical regions of the structurally stable planar Hamiltonian polynomial vector fields, and study its genericity. Citing Literature Volumes3-68, Issue3May 1994Pages 617-640 RelatedInformation