Abstract
We classify the links of basic periodic orbits of integrable vector fields on~$\mathbb{S}^3$ 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.
Citation
José Martínez-Alfaro. Regilene Oliveira. "Integrable Systems on $\mathbb{S}^{3}$." Publ. Mat. 58 (S1) 333 - 352, 2014.
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