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Integrable systems on S3

Name: Integrable systems on S3
Keywords: Morse-Bott functions, Topological invariants, Integrability, Vector fields on S3

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2014 Spain Publisher:Servei de PublicacionsJournal:Publicacions Matematiques (issn: 0214-1493,

Authors: Martínez-Alfaro, José; Oliveira, Regilene;

doi: 10.5565/10.5565-publmat_extra14_18

Integrable systems on S3

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Abstract

We classify the links of basic periodic orbits of integrable vector fields on S3 generalizing results on two degree of freedom Hamiltonian systems. We also study the case of completely integrable systems and define invariants for the two classes of vector fields.

Country

Spain

Related Organizations

Autonomous University of Barcelona
Spain
University of Valencia
Spain

Keywords

Morse-Bott functions, Topological invariants, Integrability, Vector fields on S3

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