Integrable systems on S3

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.

Detalles Bibliográficos
Autores: Martínez-Alfaro, José, Oliveira, Regilene|||0000-0002-9628-5180
Tipo de recurso: artículo
Fecha de publicación:2014
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:118314
Acceso en línea:https://ddd.uab.cat/record/118314
https://dx.doi.org/urn:doi:10.5565/PUBLMAT_Extra14_18
Access Level:acceso abierto
Palabra clave:Morse-Bott functions
Integrability
Topological invariants
Vector fields on S3
Descripción
Sumario: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.